Messages from 1994
From banach-request at math.okstate.edu Tue Jan 4 11:27:09 1994
To: banach-dist at math.okstate.edu
Subject: Abstract of a paper by S. Geiss and M. Junge
Date: Tue, 4 Jan 94 11:10:25 CST
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
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Status: RO
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<<<<<<<<<DO NOT REPLY TO THIS MESSAGE.>>>>>>>>>>>>>>>>>>>>>
This is the abstract of the paper "Type and cotype with respect to
arbitrary orthonormal systems" by S. Geiss and M. Junge. The paper is
typed in LATeX. The paper may be downloaded from the bulletin board by
ftp to ftp.math.okstate.edu or transmitting the commands
begin
send geissjungetype.ltx
end
to: banach-files at math.okstate.edu.
Abstract:Let $\on_{k \in \nz}$ be an orthonormal system on some
$\sigma$-finite
measure space $(\Om,p)$. We study the notion of cotype with respect to
$\Phi$
for an operator $T$ between two Banach spaces $X$ and $Y$, defined by
$\fco T := \inf$ $c$ such that
\[ \Tfmm \pl \le \pl c \pll \gmm \hspace{.7cm}\mbox{for
all}\hspace{.7cm}
(x_k)\subset X \pl,\]
where $(g_k)_{k\in \nz}$ is a sequence of independent and normalized
gaussian variables. It is shown that this $\Phi$-cotype coincides with
the usual notion of cotype $2$ iff \linebreak
$\fco {I_{\lin}} \sim \sqrt{\frac{n}{\log (n+1)}}$ uniformly in $n$
iff there is a positive $\eta>0$ such that for all
$n \in \nz$ one can find an orthonormal $\Psi = (\psi_l)_1^n \subset
{\rm span}\{ \phi_k \p|\p k \in \nz\}$ and a sequence of disjoint
measurable
sets $(A_l)_1^n \subset \Om$ with
\[ \int\limits_{A_l} \bet \psi_l\rag^2 d p \pl \ge \pl \eta \quad
\mbox{for all}\quad l=1,...,n \pl. \]
A similar result holds for the type situation.
The study of type and cotype with respect to orthonormal systems
of a given length provides the appropriate approach to this result.
We intend to give a quite complete picture for orthonormal systems
in measure space with few atoms.
File length:86K
From banach-request at math.okstate.edu Wed Jan 5 13:45:33 1994
To: banach-dist at math.okstate.edu
Subject: Abstract of a paper by R. Aron and S. Dineen
Date: Wed, 5 Jan 94 13:41:12 CST
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 1602
X-Lines: 42
Status: RO
<<<<<<<<<DO NOT REPLY TO THIS MESSAGE.>>>>>>>>>>>>>>>>>>>>>
This is the abstract of the paper "Q-Reflexive Banach spaces " by R.
Aron and S. Dineen. The paper is typed in TeX. The paper may be
downloaded from the bulletin board by ftp to ftp.math.okstate.edu or
transmitting the commands
begin
send arondineenqrflx.tex
end
to: banach-files at math.okstate.edu.
Abstract: Let $E$ be a Banach space and, for any positive integer $n$,
let ${\cal P}(^nE)$ denote the Banach space of continuous
$n$-homogeneous polynomials on $E$. Davie and Gamelin showed that
the natural extension mapping from ${\cal P}(^nE)$ to
${\cal P}(^nE^{\ast\ast})$ is an isometry into the latter space.
Here, we investigate
when there is a natural isomorphism between ${\cal P}(^nE)^{\ast\ast}$
and ${\cal P}(^nE^{\ast\ast})$. Among other things, we show
that if $E$ satisfies: \break
(a) no spreading model built on a normalised
weakly null sequence has a lower $q$-estimate for any $q < \infty,$
(b) $E^{\ast}$ has RNP, and
(c) $E^{\ast}$ has the approximation property,
then ${\cal P}(^nE)$ has RNP for every $n$. Moreover, if $E$ satisfies
(a) and is such that $E^{\ast\ast}$ has both the RNP and the
approximation
property, then ${\cal P}(^nE)^{\ast\ast}$
and ${\cal P}(^nE^{\ast\ast})$ are isomorphic for every $n$. We also
exhibit
a quasi-reflexive Banach space $E$ for which ${\cal P}(^nE)^{\ast\ast}$
and ${\cal P}(^nE^{\ast\ast})$ are isomorphic for every $n$.
Related work has been done recently by (i) M. Gonzalez, (ii) M.
Valdivia, and (iii) J. Jaramillo, A. Prieto, and I. Zalduendo.
File length:33K
From banach-request at math.okstate.edu Fri Jan 21 14:08:51 1994
To: banach-dist at math.okstate.edu
Subject: Announcement of the Spring School in the Czech republic.
Date: Fri, 21 Jan 94 14:04:02 CST
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 3520
Status: RO
X-Lines: 113
Spring School 94
Recent Trends in Banach Spaces
Preliminary Announcement
Dear Colleague,
Following a longstanding tradition, the Faculty
of Mathematics and Physics of Charles University, will
organize a Spring School on Recent Trends in Banach Spaces.
The School will be held at Paseky, in a
chalet in the Krkonose Mountains, April 24-30, 1994.
It is proposed that the main theme of the School will be:
Asymptotic structures and constructions in the
infinite-dimensional Banach space theory
The following speakers have agreed to delivery lectures:
Nicole Tomczak-Jaegermann (University of Alberta, Edmonton)
and
Vitali Milman (University of Tel Aviv):
Asymptotic structures and geometry of
infinite-dimensional convex bodies
Bernard Maurey (University of Paris VII):
Recent Developments in infinite dimensional
Banach space theory
Edward W. Odell (University of Texas):
the title will be announced
We have also ivited Professors Tim Gowers and Thomas
Schlumprecht but have not yet received definite replies.
The purpose of this Meeting is to bring together adepts who
share a common interest in the field.
There will be opportunities for short communications and
informal discussions. Graduate students and others
beginning their mathematical career are encouraged to
participate.
The conference fee will be 250,- US dollars or equivalent.
A reduced rate of 220,- US dollars will be offered, provided
a letter guaranteeing one's participation will reach the organizers
before March 15, 1994. The conference fee includes all local
expenses (room and board) and transportation between Prague
and Paseky. The fee is the same for accompanying persons.
Payment will be made at the registration desk in Paseky by cash.
The School will be partially supported by the Tempus project
JEP - 1980, and the organizers may provide financial support
to a limited number of students. Applications must be
sent before March 1, 1994.
In case of any difficulty you should contact the organizers.
The village of Paseky lies in the slopes of
the Krkonose Mountains, in North Bohemia. Accommodation
consists of rooms for two or three people. There are excellent
facilities and conditions for sporting activities:
hiking trips, soccer, mini-golf and sauna.
A special bus from Prague to Paseky will leave at 4 p.m. on
April 24, 1994. The bus from Paseky will arrive
in Prague at 11.30 a.m.
In case of interest please fill out the enclosed preliminary
registration form and return it before March 15, 1994.
A final announcement with further details will be mailed in due time.
Due to the limited capacity of accommodation facilities the
organizers may be forced to decline registration.
We are looking forward to meeting you in Czech Republic.
Jaroslav Lukes, Jiri Kottas
Mailing address: Katedra matematicke analyzy
Matematicko-fyzikalni fakulta UK
Sokolovska 83, 186 00 Praha 8
The Czech Republic
Phone/Fax: 42 -- 2 -- 231 76 62
E-mail: kottas at karlin.mff.cuni.cz or
umzjk at earn.cvut.cz or
jkottas at cspguk11.bitnet
Kindly inform colleagues interested in this field !
Preliminary registration form of Spring School:
Name: .......................................
Address: .....................................
E-mail: ......................................
Fax: .........................................
Phone: .......................................
From banach-request at math.okstate.edu Sat Jan 22 16:44:44 1994
Date: Sat, 22 Jan 1994 16:37:07 -0600 (CST)
From: Dale Alspach <alspach at math.okstate.edu>
Sender: Dale Alspach <alspach at math.okstate.edu>
Reply-To: Dale Alspach <alspach at math.okstate.edu>
Subject: Position at U. of Missouri
To: banach-dist at math.okstate.edu
MIME-Version: 1.0
Content-Type: TEXT/PLAIN; CHARSET=US-ASCII
Content-Length: 1054
Status: RO
X-Status:
X-Lines: 33
INSTITUTION: University of Missouri-Columbia
Columbia, MO 65211
DEPARTMENT: Mathematics
CONTACT PERSON: Elias Saab
E-MAIL ADDRESS: mathumc at mizzou1.missouri.edu
DESCRIPTION:
Applications are invited for one tenure-track position beginning in
August of 1994. Salary and rank will depend on qualifications. The
position requires a Ph.D. in Mathematics, quality teaching, and a
distinguished research career. Selection for the position will be based
primarily on demonstrated research achievement in Modern Analysis or
Commutative Algebra/Algebraic Geometry or Mathematical Physics. Send a
curriculum vitae along with a letter of application (include e-mail
address) and arrange for three letters of recommendation to be sent to:
Elias Saab, Chair at the address above (zip 65211). The application
deadline is February 20, 1994, or until the position is filled
thereafter. Applications received after Feb 28, 1994 cannot be
guaranteed consideration. AA/EEO.
From banach-request at math.okstate.edu Tue Feb 1 10:08:54 1994
To: banach-dist at math.okstate.edu
Subject: Abstract of a paper by S. Dineen
Date: Tue, 1 Feb 94 10:01:49 CST
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 674
Status: RO
X-Lines: 27
<<<<<<<<<DO NOT REPLY TO THIS MESSAGE.>>>>>>>>>>>>>>>>>>>>>
This is the abstract of the paper "A Dvoretsky Theorem for Polynomials"
by S. Dineen. The paper is typed in TeX. The paper may be downloaded
from the bulletin board by ftp to ftp.math.okstate.edu or transmitting
the commands
begin
send dineendvrtsky.tex
end
to: banach-files at math.okstate.edu.
Abstract:We lift upper and lower estimates from
linear functionals to $n$-homogeneous polynomials and using
this result show that $l_\infty$ is finitely represented in
the space of $n$-homogeneous polynomials, $n\ge2$, for any
infinite dimensional Banach space.
Refinements are also given.
File length:11K
From banach-request at math.okstate.edu Mon Feb 7 09:02:01 1994
To: banach-dist at math.okstate.edu
Subject: Abstract of a paper by C. Schutt
Date: Mon, 7 Feb 94 8:50:52 CST
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 731
Status: RO
X-Lines: 30
<<<<<<<<<DO NOT REPLY TO THIS MESSAGE.>>>>>>>>>>>>>>>>>>>>>
This is the abstract of the paper "On the embedding of 2-concave
Orlicz spaces into $L^1$" by C. Schutt.
The paper is typed in AMSTeX. The paper may be downloaded
from the bulletin board by ftp to ftp.math.okstate.edu
or transmitting the commands
begin
send schutt2cncvorlicz.atx
end
to: banach-files at math.okstate.edu.
Abstract:In [K--S 1] it was shown that
$$
\underset {\pi} \to {\text{Ave}}
(\sum_{i=1}^{n}|x_i a_{\pi(i)}|^2)^{\frac {1}{2}}
$$
is equivalent to an Orlicz norm whose Orlicz function
is 2-concave. Here we give a formula for the sequence
$a_1, a_2,....,a_n$ so that the above expression is
equivalent to a given Orlicz norm.
File length:15K
From banach-request at math.okstate.edu Mon Feb 7 10:33:18 1994
To: banach-dist at math.okstate.edu
Subject: Abstract of a paper by F. Chaatit, V. Mascioni and H. Rosenthal
Date: Mon, 7 Feb 94 8:55:03 CST
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 1003
Status: RO
X-Status:
X-Lines: 30
<<<<<<<<<DO NOT REPLY TO THIS MESSAGE.>>>>>>>>>>>>>>>>>>>>>
This is the abstract of the paper "On Functions of Finite Baire Index"
by
F. Chaatit, V. Mascioni and H. Rosenthal.
The paper is typed in AMSTeX. The paper may be downloaded
from the bulletin board by ftp to ftp.math.okstate.edu
or transmitting the commands
begin
send chaatitmascionirosenthalfntbaire.atx
end
to: banach-files at math.okstate.edu.
Abstract:It is proved that every function of finite Baire index on a
separable
metric space $K$ is a $D$-function, i.e., a difference of bounded
semi-continuous functions on $K$. In fact it is a strong $D$-function,
meaning it can be approximated arbitrarily closely in $D$-norm, by
simple $D$-functions. It is shown that if the $n^{th}$ derived set of
$K$ is non-empty for all finite $n$, there exist $D$-functions on $K$
which are not strong $D$-functions. Further structural results for the
classes of finite index functions and strong $D$-functions are also
given.
File length:46K
From banach-request at math.okstate.edu Tue Jan 18 12:15:51 1994
To: banach-dist at math.okstate.edu
Subject: abstract of a paper by N. Asmar and S. Montgomery-Smith
Date: Tue, 18 Jan 94 12:09:38 CST
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 1152
Status: RO
X-Status:
X-Lines: 33
<<<<<<<<<DO NOT REPLY TO THIS MESSAGE.>>>>>>>>>>>>>>>>>>>>>
This is the abstract of the paper "Dimension-free estimates for
conjugate maximal functions and pointwise convergence" by N. Asmar and
S. Montgomery-Smith. The paper is typed in LATeX. The paper may be
downloaded from the bulletin board by ftp to ftp.math.okstate.edu or
transmitting the commands
begin
send asmarmontsmithcnmxfn.ltx
end
to: banach-files at math.okstate.edu.
Abstract:We use the methods of Burkholder, Gundy,
and Silverstein to study maximal
functions and square functions arising in the construction of the
conjugate function on the finite dimensional torus.
Using Brownian motion, we obtain dimension-free weak type (1,1)
estimates that enable us to prove an analog
of the classical Privalov's Theorem for conjugate
functions on the disk, in the general setting of a
locally compact abelian group with an ordered dual group.
In order to do this, we study the structure of measurable orders
on locally compact abelian groups, extending the work of
H\"older and Hahn. The final result complements previous work of
Bochner, Helson and Lowdenslager.
File length:128K
From banach-request at math.okstate.edu Tue Feb 8 10:21:43 1994
To: banach-dist at math.okstate.edu
Subject: Abstract of a paper by A. Arias and J. Farmer
Date: Tue, 8 Feb 94 10:16:47 CST
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 1474
X-Lines: 51
Status: RO
<<<<<<<<<DO NOT REPLY TO THIS MESSAGE.>>>>>>>>>>>>>>>>>>>>>
This is the abstract of the paper "On the structure of tensor products
of l_p spaces" by A. Arias and J. Farmer. The paper is typed in TeX.
The paper may be downloaded from the bulletin board by ftp to
ftp.math.okstate.edu or transmitting the commands
begin
send ariasfarmertnsrlp.tex
end
to: banach-files at math.okstate.edu.
Abstract:We examine some structural properties of (injective and
projective)
tensor products of $\ell_p$-spaces (projections, complemented
subspaces,
reflexivity, isomorphisms, etc.). We combine these results with
combinatorial arguments
to address the question of primarity for these spaces and their duals.
Our main results are:
\medbreak
\item{(1)} If $1<p<\infty$, then $B(\ell_p)\approx B(L_p)$ ($B(X)$
consists
of the bounded linear operators on $X$).
\medbreak
\item{(2)} If ${1\over p_i}+{1\over p_j}\leq1$ for every $i\neq j$, or
if
all of the $p_i$'s are equal,
then $\ell_{p_1}\hat{\otimes}\cdots \hat{\otimes}\ell_{p_N}$ is
primary.
\medbreak
\item{(3)} $\ell_p$ embeds into
$\ell_{p_1}\hat{\otimes}\cdots \hat{\otimes}\ell_{p_N}$
if and only if there exists
$A\subset \{1,2,\cdots,n\}$ such that
${1\over p}=\min\{\sum_{i\in A}{1\over p_i},1\}$.
\medbreak
\item{(4)} If $1\leq p<\infty$ and $m\geq1$, then the space of
homogeneous
analytic polynomials ${\cal P}_m(\ell_p)$ and the symmetric tensor
product of $m$ copies of $\ell_p$ are primary.
File length:69K
From banach-request at math.okstate.edu Fri Feb 11 09:36:10 1994
To: banach-dist at math.okstate.edu
Subject: Announcement of the Spring School - Paseky
Date: Fri, 11 Feb 94 9:27:32 CST
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 3695
X-Lines: 125
Status: RO
Spring School 94
Recent Trends in Banach Spaces
The First Announcement
Dear Colleague,
Following a longstanding tradition, the Faculty
of Mathematics and Physics of Charles University, will
organize a Spring School on Recent Trends in Banach Spaces.
The School will be held at Paseky, in a
chalet in the Krkonose Mountains, April 24-30, 1994.
It is proposed that the main theme of the School will be:
Asymptotic structures and constructions in the
infinite-dimensional Banach space theory
The following speakers have agreed to delivery lectures:
Nicole Tomczak-Jaegermann (University of Alberta, Edmonton)
and
Vitali Milman (University of Tel Aviv):
Asymptotic structures and geometry of
infinite-dimensional convex bodies
Bernard Maurey (University of Paris VII):
Recent Developments in infinite dimensional
Banach space theory
Edward W. Odell (University of Texas)
and
Thomas Schlumprecht (Texas A. & M. University):
1. Introduction to distortion
2. Tsirelson's space and relatives
3. Schlumprecht's space
4. Consequences of sequential distortion
5. Uniform homeomorphisms between unit spheres
6. The distortion of Hilbert space
The purpose of this Meeting is to bring together adepts who
share a common interest in the field.
There will be opportunities for short communications and
informal discussions. Graduate students and others
beginning their mathematical career are encouraged to
participate.
The conference fee will be 250,- US dollars or equivalent.
A reduced rate of 220,- US dollars will be offered, provided
a letter guaranteeing one's participation will reach the organizers
before March 15, 1994. The conference fee includes all local
expenses (room and board) and transportation between Prague
and Paseky. The fee is the same for accompanying persons.
Payment will be made at the registration desk in Paseky by cash.
The School will be partially supported by the Tempus project
JEP - 1980, and the organizers may provide financial support
to a limited number of students. Applications must be
sent before March 1, 1994.
In case of any difficulty you should contact the organizers.
The village of Paseky lies in the slopes of
the Krkonose Mountains, in North Bohemia. Accommodation
consists of rooms for two or three people. There are excellent
facilities and conditions for sporting activities:
hiking trips, soccer, mini-golf and sauna.
A special bus from Prague to Paseky will leave at 4 p.m. on
April 24, 1994. The bus from Paseky will arrive
in Prague at 11.30 a.m.
In case of interest please fill out the enclosed preliminary
registration form and return it before March 15, 1994.
A final announcement with further details will be mailed in due time.
Due to the limited capacity of accommodation facilities the
organizers may be forced to decline registration.
We are looking forward to meeting you in Czech Republic.
Jaroslav Lukes, Jiri Kottas
Mailing address: Katedra matematicke analyzy
Matematicko-fyzikalni fakulta UK
Sokolovska 83, 186 00 Praha 8
The Czech Republic
Phone/Fax: 42 -- 2 -- 231 76 62
E-mail: kottas at karlin.mff.cuni.cz or
umzjk at earn.cvut.cz or
jkottas at cspguk11.bitnet
Kindly inform colleagues interested in this field !
Preliminary registration form of Spring School:
Name: .......................................
Address: .....................................
E-mail: ......................................
Fax: .........................................
Phone: .......................................
From banach-request at math.okstate.edu Fri Feb 11 15:53:11 1994
To: banach-dist at math.okstate.edu
Subject: Abstracts of two papers by N. Kalton
Date: Fri, 11 Feb 94 15:04:26 CST
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 1680
Status: RO
X-Lines: 57
<<<<<<<<<DO NOT REPLY TO THIS MESSAGE.>>>>>>>>>>>>>>>>>>>>>
This is the abstract of the paper "Complex interpolation of Hardy-type
subspaces" by N. Kalton. The paper is typed in TeX (and requires
vanilla.sty). The paper may be downloaded from the bulletin board by
ftp to ftp.math.okstate.edu or transmitting the commands
begin
send kaltoncmplxintrp.tex
end
to: banach-files at math.okstate.edu.
Abstract:We consider the problem of complex
interpolation of certain Hardy-type subspaces of K\"othe
function spaces. For example, suppose $X_0$ and $X_1$ are
K\"othe function spaces on the unit circle $\bold T,$ and
let $H_{X_0}$ and $H_{X_1}$ be the corresponding Hardy
spaces. Under mild conditions on $X_0,X_1$ we give a
necessary and sufficient condition for the complex
interpolation space $[H_{X_0},H_{X_1}]_{\theta}$ to coincide
with $H_{X_{\theta}}$ where $X_{\theta}=[X_0,X_1]_{\theta}.$
We develop a very general framework for such results and our
methods apply to many more general sitauations including the
vector-valued case.
File length:92K
-----------------------------------------------
This is the abstract of the paper "An elementary example of a Banach
space not isomorphic to its complex conjugate" by N. Kalton. The paper
is typed in AMSTeX. The paper may be downloaded from the bulletin board
by
ftp to ftp.math.okstate.edu or transmitting the commands
begin
send kaltoncmplxbsp.atx
end
to: banach-files at math.okstate.edu.
Abstract:We give a simple and explicit example of a complex Banach
space which is not isomorphic to its complex conjugate, and
hence of two real-isomorphic spaces which are not
complex-isomorphic.
File length:11K
From banach-request at math.okstate.edu Fri Feb 11 15:53:16 1994
To: banach-dist at math.okstate.edu
Subject: Abstract of a paper by A. Arias
Date: Fri, 11 Feb 94 15:09:12 CST
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 842
Status: RO
X-Lines: 28
<<<<<<<<<DO NOT REPLY TO THIS MESSAGE.>>>>>>>>>>>>>>>>>>>>>
This is the abstract of the paper "Nest algebras in $c_1$}" by A.
Arias.
The paper is typed in TeX. The paper may be downloaded
from the bulletin board by ftp to ftp.math.okstate.edu
or transmitting the commands
begin
send ariasnstalgc1.tex
end
to: banach-files at math.okstate.edu.
Abstract:In this paper we address some basic questions of the Banach
space
structure of the nest algebras in the trace class; in particular, we
study whether any two of them are isomorphic to each other, and show
that the nest algebras in the trace class have bases. We construct
three non-isomorphic examples of nest algebras in $c_1$; present a new
proof of the primarity of $c_1$ (Arazy, [Ar1], [Ar2]), and prove that
$K(H)$, and the nest algebras in $B(H)$ are primary.
File length:59K
From banach-request at math.okstate.edu Mon Feb 21 11:40:24 1994
To: banach-dist at math.okstate.edu
Subject: Small correction of last announcement
Date: Mon, 21 Feb 94 10:17:27 CST
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 39
X-Lines: 1
Status: RO
Alvaro Arias paper is typed in AMSTeX.
From banach-request at math.okstate.edu Mon Feb 21 10:12:54 1994
To: banach-dist at math.okstate.edu
Subject: Abstract of a paper by A. Arias
Date: Mon, 21 Feb 94 10:05:23 CST
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 819
X-Lines: 29
Status: RO
<<<<<<<<<DO NOT REPLY TO THIS MESSAGE.>>>>>>>>>>>>>>>>>>>>>
This is the abstract of the paper "Isomorphisms of operator algebras"
by A. Arias. The paper is typed in TeX. The paper may be downloaded
from the bulletin board by ftp to ftp.math.okstate.edu or transmitting
the commands
begin
send ariasisopalg.atx
end
to: banach-files at math.okstate.edu.
Abstract:In this paper we prove that several operator algebras are
completely
isomorphic to each other; e.g., the $C^*_\lambda(F_k)$, $k\geq 2$,
the $C^*$-algebras generated by the regular left representation
$\lambda:F_k\to B(\ell_2(F_k))$, are completely isomorphic to each
other.
We also study the ``non-commutative'' analytic spaces introduced by
G. Popescu [Po], and give applications to Popescu's version of
Von Neumann's inequality.
File length:30K
From banach-request at math.okstate.edu Thu Feb 17 12:36:49 1994
To: banach-dist at math.okstate.edu
Subject: Abstract of a paper by E. Balder, M. Girardi and V. Jalby
Date: Thu, 17 Feb 94 12:28:30 CST
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 1156
Status: RO
X-Status:
X-Lines: 38
<<<<<<<<<DO NOT REPLY TO THIS MESSAGE.>>>>>>>>>>>>>>>>>>>>>
This is the abstract of the paper "From weak to strong types of
$L_E^1$-convergence by the Bocce-criterion" by Erik J. Balder, Maria
Girardi and Vincent Jalby. The paper is typed in AMSTeX. The paper may
be downloaded from the bulletin board by ftp to ftp.math.okstate.edu or
transmitting the commands
begin
send baldergirardijalbyL1Ecnvrg.atx
end
to: banach-files at math.okstate.edu.(Note the "one" not "ell" in
ba...L1E...atx
in the filename.)
Abstract:Necessary and sufficient oscillation conditions are given
for a weakly convergent sequence
(resp. relatively weakly compact set)
in the Bochner-Lebesgue
space $\l1$ to be norm convergent
(resp. relatively norm compact),
thus extending the known results for $\rl1$.
Similarly,
necessary and sufficient oscillation conditions are given
to pass from weak to
limited (and also to Pettis-norm) convergence in $\l1$.
It is shown that tightness is a
necessary and sufficient condition to pass from
limited to strong convergence.
Other implications between several modes of convergence
in $\l1$ are also studied.
File length:66K
From banach-request at math.okstate.edu Tue Feb 22 09:10:52 1994
To: banach-dist at math.okstate.edu
Subject: Abstract of a paper by D. Leung
Date: Tue, 22 Feb 94 9:07:02 CST
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
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<<<<<<<<<DO NOT REPLY TO THIS MESSAGE.>>>>>>>>>>>>>>>>>>>>>
This is the abstract of the paper "Embedding Orlicz Sequence Spaces
into $C(\alpha)$" by D. Leung. The paper is typed in AMSLATeX. The
paper may be downloaded from the bulletin board by ftp to
ftp.math.okstate.edu or transmitting the commands
begin
send leungorlcz.ltx
end
to: banach-files at math.okstate.edu.
Abstract:Let $M$ be a non-degenerate Orlicz function such that there
exist
$\ep > 0$ and $0 < s < 1$ with $\su M(\ep s^i)/M(s^i) <
\infty$. It is shown that the Orlicz sequence space $h_M$ is
isomorphic to a subspace of $C(\om^\om)$. It is also shown
that for any non-degenerate Orlicz function $M$, $h_M$ does not embed
into $C(\al)$ for any $\al < \om^\om$.
File length:20K
From banach-request at math.okstate.edu Wed Mar 2 11:39:35 1994
To: banach-dist at math.okstate.edu
Subject: Abstract of a paper by P.Mueller
Date: Wed, 2 Mar 94 10:13:20 CST
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
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Status: RO
<<<<<<<<<DO NOT REPLY TO THIS MESSAGE.>>>>>>>>>>>>>>>>>>>>>
This is the abstract of the paper "The Banach space $H^1(X,d,\mu)$, II"
by P.Mueller. The paper is typed in LATeX. The paper may be downloaded
from the bulletin board by ftp to ftp.math.okstate.edu or transmitting
the commands
begin
send muellerh1II.ltx
end
to: banach-files at math.okstate.edu.
Abstract:In this paper we give the isomorphic classification of atomic
$H^1(X,d,\mu)$, where $(X,d,\mu)$ is a space of homogeneous type,
hereby completing a line of investigation opened by the work of Bernard
Maurey [Ma1], [Ma2], [Ma3] and continued by Lennard Carleson [C] and
Przemyslaw Wojtaszczyk [Woj1], [Wpj2].
File length:35K
From banach-request at math.okstate.edu Wed Mar 2 09:41:18 1994
To: banach-dist at math.okstate.edu
Subject: Abstract of a paper by A.Arias,T.Figiel,W.Johnson and G.Schechtman
Date: Wed, 2 Mar 94 9:35:20 CST
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 1085
X-Lines: 33
Status: RO
<<<<<<<<<DO NOT REPLY TO THIS MESSAGE.>>>>>>>>>>>>>>>>>>>>>
This is the abstract of the paper "Banach spaces with the $2$-summing
property" by A. Arias, T. Figiel, W. B. Johnson and G. Schechtman. The
paper is typed in AMSTeX. The paper may be downloaded from the bulletin
board by ftp to ftp.math.okstate.edu or transmitting the commands
begin
send ariasfigieljohnschech2sum.atx
end
to: banach-files at math.okstate.edu.
Abstract: A Banach space $X$ has the $2$-summing property if
the norm of every linear operator from $X$ to a Hilbert space is
equal to the $2$-summing norm of the operator.
Up to a point, the theory of spaces which have this property
is independent of the scalar field: the property is
self-dual and any space with the property is a finite dimensional
space of
maximal distance to the Hilbert space of the same dimension.
In the case of real scalars only the real line and real
$\ell_\infty^2$ have the $2$-summing property. In the complex case
there are
more
examples; e.g., all subspaces of complex $\ell_\infty^3$ and their
duals.
File length:77K
From banach-request at math.okstate.edu Wed Mar 2 14:24:34 1994
To: banach-dist at math.okstate.edu
Subject: Program of the Analysis Seminar at Kent State
Date: Wed, 2 Mar 94 14:17:31 CST
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
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Status: RO
INFORMAL ANALYSIS SEMINAR
KENT STATE UNIVERSITY
Saturday, March 19, 1994
The annual Kent State University St. Patrick's Day extravaganza
will commence precisely at approximately high noon, in the new
Mathematics Department Building.
MAIN SPEAKERS
Sergei Treil (Michigan State Univ.)
speaking on
Bases of eigenvectors in invariant subspaces of contractions
Nigel Kalton (Univ. of Missouri)
speaking on
Whitney's Lemma in Banach spaces
Catherine L. Olsen (SUNY-Buffalo)
speaking on
To be announced
Seasonal refreshments and beverages
will be available before, during and after each talk.
Organizers: Richard Aron, Joe Diestel, Per Enflo, Bob Lohman,
Victor Lomonosov, Andrew Tonge
From banach-request at math.okstate.edu Fri Mar 4 14:21:58 1994
To: banach-dist at math.okstate.edu
Subject: Abstract of a paper by B.Randrianantoanina
Date: Fri, 4 Mar 94 13:29:55 CST
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 805
X-Lines: 27
Status: RO
<<<<<<<<<DO NOT REPLY TO THIS MESSAGE.>>>>>>>>>>>>>>>>>>>>>
This is the abstract of the paper "Contractive projections and
isometries in sequence spaces" by B. Randrianantoanina. The paper is
typed in AMSLATeX. The paper may be downloaded from the bulletin board
by ftp to ftp.math.okstate.edu or transmitting the commands
begin
send randricnprjsqnsp.atx
end
to: banach-files at math.okstate.edu.
Abstract:We characterize 1-complemented subspaces of finite codimension
in
strictly monotone
one-$p$-convex, $2<p<\infty,$ sequence spaces. Next we describe, up
to isometric isomorphism, all possible types of 1-unconditional
structures in sequence spaces with few surjective isometries. We also
give a new example of a class of real sequence spaces with few
surjective isometries.
File length:33K
From banach-request at math.okstate.edu Tue Mar 15 09:29:21 1994
To: banach-dist at math.okstate.edu
Subject: Abstract of a paper by M. Junge
Date: Tue, 15 Mar 94 9:19:08 CST
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 1298
Status: RO
X-Lines: 39
<<<<<<<<<DO NOT REPLY TO THIS MESSAGE.>>>>>>>>>>>>>>>>>>>>>
This is the abstract of the paper " Orlicz property of operator spaces
and eigenvalue estimates " by M. Junge. The paper is typed in LATeX.
The paper may be downloaded from the bulletin board by ftp to
ftp.math.okstate.edu or transmitting the commands
begin
send jungeorlczprp.ltx
end
to: banach-files at math.okstate.edu.
Abstract:As is well known absolute convergence and
unconditional convergence for series are equivalent only in finite
dimensional
Banach spaces. Replacing the classical notion of absolutely summing
operators by the notion of 1 summing operators
\[ \summ_k || Tx_k || \leq c || \summ_k e_k
\otimes x_k ||_{\ell_1\otimes_{min}E}\]
in the category of operator spaces, it turns out that there are quite
different interesting
examples of 1 summing operator spaces. Moreover, the eigenvalues of a
composition
$TS$ decreases of order $n^{\frac{1}{q}}$ for all operators $S$
factorizing
completely through a commutative $C^*$-algebra if and only if the 1
summing norm
of the operator $T$ restricted to a $n$-dimensional subspace is not
larger than
$c n^{1-\frac{1}{q}}$, provided $q>2$. This notion of 1 summing
operators
is closely connected to the notion of minimal and maximal operator
spaces.
File length:84K
From banach-request at math.okstate.edu Thu Mar 17 09:17:32 1994
To: banach-dist at math.okstate.edu
Subject: Final announcement for the Spring School at Paseky
Date: Thu, 17 Mar 94 9:10:16 CST
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
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X-Lines: 107
Status: RO
***********************************************
* Spring School: Functional Analysis *
* *
* (Paseky, April 1994) *
* *
* Last Announcement *
* *********************************************
The Spring School will be held at Paseky, April 24-30, 1994.
The village Paseky lies in the slopes of the Krkonose Mountains,
in the North Bohemia. Lodging is in two or three bed rooms
in a chalet. There are excellent conditions for sport activities:
walking trips in the immediate surroudings, mini-golf and sauna.
Wearing of slippers in the chalet is absolutely necessary!
*********************************************************************
The program will consist of a series of lectures on:
Asymptotic structures and geometry of
infinite-dimensional convex bodies
(Nicole Tomczak-Jaegermann (University of Alberta, Edmonton)
and
Vitali Milman (University of Tel Aviv))
**********
Recent Developments in infinite dimensional
Banach space theory
(Bernard Maurey (University of Paris VII))
**********
1. Introduction to distortion
2. Tsirelson's space and relatives
3. Schlumprecht's space
4. Consequences of sequential distortion
5. Uniform homeomorphisms between unit spheres
6. The distortion of Hilbert space
(Edward W. Odell (University of Texas)
and
Thomas Schlumprecht (Texas A. & M. University))
Also other participants of the Workshop can contribute to the
scientific
program. Moreover, it is not supposed to fill all the time by lectures;
many informal discussions in a fruitful working atmosphere are
expected.
************************************************************************
The conference fee is $ 250,- (or an equivalent). Reduced rate of
$ 220,- applies provided the registration form reached organizers
before March 15, 1994. The conference fee includes all local expenses
(board and lodging) and transport between Prague and Paseky.
For the accompanying persons the conference fee is the same.
A limited number of students is supposed to pay 140,- only.
The payment of the fee will be done at the registration desk
at Paseky by cash.
A special bus from Prague to Paseky and back is booked
for the beginning and for the end of the Workshop.
The bus from Prague will depart April 24, 1994 at 4 p. m. from Prague.
All participants are to meet at vestibule of metro
station Krizikova (station of line B). To get there from the airport,
take bus No 119 to the metro terminal Dejvicka, then take line A
to Mustek and change the line. From the railway station take metro C
and B to Krizikova.
Bus from Paseky will depart April 30, at 9 a. m. and will be getting
to Prague at 11.30 a. m.
In case of any difficulty you should contact the organizers.
Mailing address: Katedra matematicke analyzy
Matematicko-fyzikalni fakulta UK
Sokolovska 83
186 00 Praha 8
The Czech Republic
Phone/Fax: 42 - 2 - 231 76 62
E-mail: kottas at karlin.mff.cuni.cz or
umzjk at earn.cvut.cz
Please, confirm your participation in a short note (e.g. by e-mail or
fax).
We are using this means of communication and we hope that it will not
be
inconvenient for you.
We look forward to meeting you in Czechoslovakia.
Jaroslav Lukes, Jiri Kottas :-)
From banach-request at math.okstate.edu Fri Mar 18 08:50:20 1994
To: banach-dist at math.okstate.edu
Subject: Missouri Conference Update
Date: Fri, 18 Mar 94 8:46:09 CST
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 23362
X-Lines: 710
Status: RO
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
Subject: Missouri Conference Update
1) To date we have received registrations from over 200 participants
from
23 different countries. We can accomodate up to 300 participants.
We have received about 60 requests for contributed talks.
2) All those who applied for the dormitory package have been approved.
We can support some limited number of additional participants
for this package if registration is received before April 1.
3) It would be helpful for us if all those who are able to do
so easily can pay their registration fee before arriving.
4) Because of the size of the meeting, we cannot guarantee to
accept contributed talks after April 1, 1994.
The Organizing Committee.
INFORMATION
This mailing contains preliminary information about our conference
on
The Interaction Between Functional Analysis, Harmonic Analysis,
and
Probability to be held May 30-June 3, 1994 at the University
of
Missouri, Columbia, Missouri. This is a rather long file, and
we
specifically call your attention to the following sections:
Conference announcement
Travel information
Motel information
Funding information
Conference Proceedings
List of Participants
Registration form
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
The Department of Mathematics at
the
University of Missouri-Columbia
announces
a
Conference
On the Interaction Between
Functional Analysis,
Harmonic Analysis, and
Probability.
May 30- June 3, 1994
Supported by The University of Missouri
and the National Science Foundation
The following people have agreed to speak.
Earl Berkson (University of Illinois)
Jean Bourgain (I H E S, France/University of Illinois)
Don Burkholder (University of Illinois)
Robert Fefferman (University of Chicago)
William B. Johnson (Texas A&M)
Alexander Pelczynski (Polish Academy of Sciences)
Peter Jones (Yale University)
Gilles Pisier (University of Paris/Texas A&M)
Richard Rochberg (Washington University)
Michel Talagrand (University of Paris/Ohio-State University)
Lior Tzafriri (Hebrew University of Jerusalem)
Guido Weiss (Washington University)
For Additional Information send an e-mail message to:
conf at esaab.cs.missouri.edu
To register send the registration form below to:
register at esaab.cs.missouri.edu
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
Travel Information
The travel information is provided to help you in making your
travel
plans. You may be able to take advantage of various discounted
air
fares if you make reservations soon, so we would encourage you to
take
action promptly. The material concerning travel and
motel
accommodations should be self-explanatory.
We also ask that you send back your registration form at your
earliest
convenience, so that we can start filling in the schedule of talks.
It
should also be noted that there is an upper limit to the number
of
participants we can accommodate so we may be forced to decline
late
registrations. There will be another mailing nearer the conference
in
which we give a more detailed schedule. If you want to give a 20 or
30
minute talk, your abstract should accompany your registration form.
We
ask that, if possible, you have your abstract prepared in TeX and
that
you send us both a hard copy and an electronic copy. Please try to
keep
your abstract short and to the point, and, in particular, not more
than
one page (a third to a half a page is much preferred). For joint
work,
please indicate the speaker with an asterisk (*). We will prepare
a
list of abstracts in alphabetical order by speaker. These will
be
distributed at registration. Also, there will be a registration fee
of
$40. It would assist the organizers if this is paid in advance;
of
course it is refundable in the event of non-attendance. The fee
is
waived for the main speakers and graduate students. Please make
your
check payable to: The University of Missouri, Dept of
Mathematics.
We also accept payment by Visa or Master Card.
Other information, about restaurants, use of e-mail, etc., will also
be
provided at registration.
Since this mailing is being sent to two different lists of
e-mail
addresses, it is possible that you will receive multiple copies of
it.
We apologize in advance for this inconvenience.
If you desire further information, please direct your queries to
the
account conf at esaab.cs.missouri.edu. Phone queries should go to
the
Math. Dept. office (314-882-6221). The Dept.'s fax number
is
314-882-1869.
Any correspondence by regular mail should be sent to:
Analysis Conference
Dept Of Mathematics
University of Missouri-Columbia
Columbia, MO 65211
USA
Travelling to and from Columbia, Missouri
We describe here the principal means of access to and from
Columbia.
Details about getting around Columbia will be provided later.
CAR
The main highways through Columbia are Interstate 70 (I-70)
(east-west)
and US Highway 63 (north-south). I-70 runs east-west and connects
to
Kansas City to the west and St. Louis to the east. In particular,
St.
Louis airport (Lambert field) is situated about 18 miles west of
St.
Louis directly on I-70. It is about 110 miles from the airport
to
Columbia. From Kansas City International Airport take I-435 to
I-70:
it is about 150 miles. Columbia airport is 15 miles south of Columbia
on U.S. 63.
AIR
If flying, you can choose between flying to Columbia, St. Louis
and
Kansas City. Columbia airport is served by TWE from St. Louis and
by
Lone Star Airlines from Dallas/Fort Worth. It is about 15-20
miles
south of Columbia. We hope to run vans to pick people up there at
peak
times. There is also Midwest Airport Shuttle (314-874-4048)
which
charges $11 one-way with $1 extra per additional passenger to the
same
destination. Taxis are also available (Checker Cab Co. 449-4191).
Some
motels may also offer shuttle service.
>From St. Louis airport you may rent a car; see driving
instructions
above. Otherwise, there are two choices of public transportation.
Tiger Air Express Limousine service to Columbia (314-443-3544
or
800-333-3026) offers door-to-door service at $40 one-way,
with
departures at approximately one to two-hour intervals. Call to make
a
reservation. (We can make arrangements for overseas participants)
The
final departure from St. Louis is at 9:30 p.m. daily.
The Greyhound bus operates on the following schedule. Call Greyhound
to
make sure that this schedule is still valid.
Lambert Field to Columbia
leave Lambert Field arrive in Columbia
2:40AM 4:40AM
7:50AM 10:05AM
1:50PM 4:20PM
6:40PM 8:45PM
Columbia to Lambert Field
leave Columbia arrive at Lambert Field
2:40AM 4:45AM
10:05AM 12:20PM
4:20PM 6:35PM
Kansas City Airport is somewhat further from Columbia, (about a 3 hour
drive). It is also served by Tiger Air Express on a rather less
frequent schedule. Contact Tiger Air Express for details.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
Motel Information
Participants from the US and Canada are asked to make their
own
reservations directly with the hotel or dormitory. Be sure to ask
for
the conference rate (you may need to mention that this is a special
rate
agreed upon with the Math. Dept. for the Analysis Conference).
Please
make your reservation before the release date (listed
below).
Participants from outside North America may contact the
conference
organizers and specify the accommodation required
The Johnston/Wolpers(Dorm) and Campus Inn are within walking distance
to
campus.
NAME COST FOR: RELEASE
LOCATION/PHONE # ROOMS SINGLE DOUBLE DATE
Johnston/Wolpers(Dorm) 400 $23 $28 first come
Corner of Rollins & Hitt first served
University of Missouri
Columbia, MO 65211
(314)882-7211 (Breakfast
included)
Campus Inn 70 $36 $36 5/16/94
1112 Stadium Blvd
Columbia, MO 65201
(314)449-2731
Days Inn 40 $40 $40 5/15/94
1900 I-70 Dr SW
Columbia, MO 65203
(314)445-8511
Holiday Inn 50 $46 $46 5/15/94
1612 N Providence Rd
Columbia, MO 65202
(314)449-2491
Ramada Inn 50 $46 $46 5/7/94
1100 Vandiver Dr
Columbia, MO 65201
(314)449-0051
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
Funding Information
The conference will be supported by the National Science Foundation,
and
the University of Missouri. We are in the process of seeking
additional
funds and the final budget situation is not yet clear; we have
applied
for funds to cover at least some local expenses of all participants,
but
we will not know if we can do this for some time. Since we
are
expecting a large attendance, we would like those of you who have
other
sources of support to use these. We particularly hope to fund
graduate
students and recent Ph.D's who have no other sources of funding.
We have worked out a deal with the Dormitory which will enable us to
offer meals in the package if we have a sufficient number signed up by
Feb. 15. We are therefore, prepared to guarantee covering the expenses
for meals (breakfast, lunch and dinner)
and accommodation (at a rate equivalent to double occupancy) at
the Dormitory for the first 100 participants who register, pay their
registration fee and sign up for such a package before February 15,
1994.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
Participants List
Name Affiliation
Abramovich, Yuri (IUPUI)
Alspach, Dale Oklahoma, State
Arazy, J. (Haifa)
Arizmendi, P.Hugo Instituto de Matematicas
Aron, R. (Kent State)
Ashbaugh, Mark (MISSOURI)
Asmar, N (Missouri)
Baglama, J. (Kent State)
Bastero, J. (Spain)
Baur, F. Zurich
Bendikov, A. (Germany)
Bennet, G. Indiana University
Berkson, E. (Illinois)
Bernal, A Barcelona
Bernues, J. (Spain)
Bes, J. P. (Kent State)
Bombal, F. G. (Spain)
Borwein, J. (Simon Fraser U.)
Bourgain, J. (IHES/Illinois)
Boyadzhiev, K. (Ohio Northern)
Boza, S. (Spain)
Briem, Eggert Univeristy of Iceland
Brown, L (Wayne State)
Burke, M. R. Prince Edwards Island
Burkholder, D. (Illinois)
Burton, Robert (Oregon State)
Campbell, J. (Memphis State)
Carothers, N. (Bowling Green )
Carro, M. (Spain)
Casazza, P. (Missouri)
Cerda, J. (Spain)
Chang, S.C. (Brock Univ.)
Chao, J. J. A (Cleveland S. U.)
Chen, Z-Q (San Diego)
Cheng, R. (Louisville)
Cho, C-M (Texas A&M)
Choi, Y. (Chicago )
Curto, R. (Iowa)
Cwikel, Michael (Technion, Israel)
Dilworth, S (South-Carolina)
Dinculeanu, N. (Florida)
Dinov, I (Florida State)
Dobrowolski, T. (Oklahoma)
Doust, I. (N.S.W Australia)
Dowling, Patrick Miami University
El-Hossiny, H (Grenoble, France)
Esquivel, M. L. Portugal
Fan, D. (Wisconsin-Milwaukee)
Farmer, J. Northern Colorado
Feffermann, R. A (Chicago)
Figiel, Tadeusz Polish Academy of Science
Finet, C. (Belgium)
Firoozye, N. B. Courant Institute
Franziska, Baur (ZURICH)
Frontisi, J. (MISSOURI)
Fujimoto, I. (Florida)
Galindo, Pablo Kent State
Gan, X.-X. (Morgan State)
Garcia, C. L. (Texas A&M)
Garcia-Cuerva, J. (Spain)
Garicia-Vazquez (Spain)
Geiss, S (Germany)
Girardi, M. (South Carolina)
Godefroy, G Missouri
Goonatilake, H. (Kent State)
Grinell, Raymond West Indies
Gronbaek, N. (Denmark)
Grow, David Rolla
Gulisashvili, A. (Boston U)
Guo. K (Northwestern U.,IL)
Hammack, B. (Illinois)
Han, Y. Auburn University
Hanin, L. (Technion)
Heinig, H. P. McMaster
Hernandez, F. (Spain)
Hinrichs, A. (Germany)
Hitczenko, P. (North Carlonia St)
Hudzik, H. (Memphis State)
Jafari, F. (Wyoming)
Jajte, R. (Poland)
Jaworski, W. (Dalhousie,Canada)
Johnson, W. B. (Texas A&M)
Jones, P. (Yale)
Jonson, A. (Umea, Sweden)
Jovovic, M. (Michigan State)
Jozef, M. (Italy)
Junge, M (Germany)
Kalton, N. (Missouri)
Kaminska, A. (Memphis State)
Kazarian, K. (Spain)
Kelly, Brian (MISSOURI)
Khatskevich, V. A. Haifa
Kirwan, P. (Kent State)
Knaust, H (Texas, El Paso)
Koenig, H. (Germany)
Koldobski, A. (Texas, San Antonio)
Kurylev, Y. (Purdue)
Kusraev, A. G. Russian Academy of Sciences
Kutateladze S.S. Russian Academy of Sciences
Lacey, E. (Texas A&M)
Lacey, M. (Indiana)
Lachaal, Raja (MISSOURI)
Lammers, Mark (MISSOURI)
Latushkin, Y. (Missouri)
Lebedev, V. Tel Aviv
Ledoux, M. (France)
Lennard, C. (Pittisburg)
Leung, D. (Singapore)
Li, S-Y (California, Irvine)
Li, Wenbo Delaware
Lim, N. (Chicago)
Lin, P. K. (Memphis State)
Loeb, P. (Illinois)
Lotto, B. (Vassar )
Madrigal, S. D. (Spain)
Mankiewicz, Piotr Polish Academy of Science
Marcantognini, S. Simon Bolivar
Marsalli, M. (Illinois State)
Marshall, James Illinois College
Martin, M. (Kansas)
Mascioni, V. (Texas)
May, C.
Mendoza, J. (Spain)
Michalopoulos, G. (Illinois)
Milman, M. (I. for Advanced Study
Mitrea, Marius South Carolina
Montgomery-Sth,S (Missouri)
Mupasiri, Douglas Northern Iwoa
Nguyen, N (Wisconsin-Milwaukee)
Nielsen, N. J. (Denmark)
Northshield, S. (SUNY, Plattsburgh)
Octavio, Alfredo IVIC
Odell, T. (Texas, Austin)
Oikhberg, T. (Texas A&M)
Otto, L. (Kent State)
Panman, P (MISSOURI)
Paul, P. J. (Spain)
Pawlowski, P. (Kent State)
Peck, N. T. (Illinois)
Pelczynski, A. (Polish Acad. of Sci.)
Peller, V. (Kansas State)
Pena, A. (Spain)
Petrovic, S. (Indiana)
Pinelis, I. (Michigan Tech)
Pisier, G. (Texas A&M/Paris)
Popescu, Gelu Texas-San Antonio
Price, J. (Maharishi Univ)
Price, K. H. (Steph. F. Aus.)
Radriana, B Bowling Green
Radriana, N Bowling Green
Rammer, A (MISSOURI)
Rao, T.S.S.R.K. (India)
Reyes, Edgar S. Louisiana Univ.
Robdera, A (MISSOURI)
Rochberg, R. (Washington U)
Rodriguez-Piazza (Spain)
Romero-Moreno, C. (Spain)
Saab, E. (Missouri)
Saab, P. (Missouri)
Saccone, S. (Brown)
Salazar, J. (Evora, Portugal)
Salinas, N. (Kansas)
Sampson, G. Auburn University
Saxe, Karen Macalester
Schechtman, G. Weizmann, Inst.
Schluechterman Germany
Schreiber, B. M. (Wayne State)
Sentilles, D. (Missouri)
Serrano, A. B. (Barcelona,Spain)
Shoikhet, D. M. Haifa
Sinnamon, Gord Western Ontario
Skorokhod, I. Ukraine
Smith, Mark Miami University
Song, R. Northwest Univ.
Soria, J. (Spain)
Spalsbury, A. (Kent State)
Spitkovsky, I. (William & Mary)
Szajda, Doug St. Olaf
Szarek, S. J. (Case Western)
Szeptycki, P. (Kansas)
T. de Squire, M (Regina)
Taira, K. (Japan)
Talagrand, M. (Ohio State/Paris)
Tataru, D. (Northwestern U)
Temlyakov, Valdimir South Carolina
Terenzi, Paolo Milano
Torrea, Jose-Luis Autonoma, Univ
Torres, M. (Regina)
Torres, R. H. Michigan
Tsekanovskii, E.
Tzafriri, L. (Hebrew U)
Velasco, M. V. (Spain)
Verbitsky, I (Wayne State)
Wang, J. (Alabama)
Wang, W. (Chicago)
Weis, L. (Germany)
Weiss, G. (Washington, U)
Wenzel, J. (Germany)
Werner, D. (Germany)
Werner, E. (Case Western)
Werner, W. (Germany)
West, G. P. (Kent State)
Wodzak, M. (Germany)
Wojciechowski, Michal Hebrew University
Wojcieszyk, B. (Case Western)
Wojtaszczyk, P. (Warsaw)
Wood, G. (Swansea, UK)
Wozniakowski, Krzysztof Polish Academy of Science
Wu, D. (Notre Dame)
Wu, Z. (Alabama)
Yale, Keith Monatana
Yost, D. (Italy)
Zhang, Litao Univ. of Zhengzhou
Zhao, Shiying UMSL
Zhao, Z. (Missouri)
Zhou, Li (MISSOURI)
Zimmer, B. (Illinois)
Zobin, N. (Technion, Israel)
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
Conference Proceedings
We are planning to publish the Proceedings of the Conference,
probably
in the Contemporary Mathematics series. Papers submitted to
the
Proceedings will be refereed. We hope that of the main speakers
will
contribute to the proceedings. Please let us know on the
registration
form if you would like to submit a paper. The deadline for the
receipt
of the article will be August 1, 1994. Papers should be prepared
in
TeX; more precise details will be forwarded in due course.
Cut all the above and fill below before sending the registration form
Subject: Conference At Missouri
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
Registration Form
Conference
On the Interaction Between
Functional Analysis,
Harmonic Analysis, and
Probability Theory
May 30- June 3, 1994
Please provide all of the following information which is applicable
to
you. Please use the address below only to send your registration
and
your abstract:
register at esaab.cs.missouri.edu
Please register as soon as possible.
Contributed talks will be scheduled as requests come in so it would
be
advisable to respond without undue delay. We will try to accommodate
all
requests, subject to availability.
Name
____________________________________________________________________
E-mail address
_________________________________________________________
(this is our preferred means of communication)
University Address:
_________________________________________________________
________________________________________________________
________________________________________________________
________________________________________________________
Home Address (if requesting support):
_________________________________________________________
________________________________________________________
________________________________________________________
________________________________________________________
(If requesting funding give your SS#)
Social Security
Number:__________________________________________________
Work Phone __________________________________________________
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I plan to attend the Analysis Conference. (Yes/No) _________________
I am sending my registration fee of $40 by mail ______________
Please Charge my Visa or Master card $40 ____________
Visa _____ Master Card_____ Master Card number
_________________________
Expiration Date ____________Name as on the
card_________________________
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________
I plan to contribute a talk. (Yes/No) _________________
I plan to submit a paper to the Proceedings (Yes/No) _______
Please follow exactly the form below. Use Plain TeX or AmsTeX for your
math symbols.
====================================================================
Abstract Form
Last Name:
First Name:
University Name:
Title Of Talk:
Abstract:
End Of Abstract
==========================================================================
The deadline to submit an abstract is April 1, 1994.
I request some support (Yes/No) _______________
If yes, please estimate your expenses in US$____________
Check below if appropriate:
________ I am a graduate student or recent Ph.D. in a nonregular
appointment and wish to apply for partial travel support.
Institution and year of Ph.D. (received or expected)
___________________
_________________________________________________________________________
Send this registration form to:
By e-mail register at esaab.cs.missouri.edu
or
By fax 1-314-882-1869
========================================================================
From banach-request at math.okstate.edu Mon Mar 28 12:05:30 1994
To: banach-dist at math.okstate.edu
Subject: Abstract of a paper by B.Maurey, V.Milman and N.Tomczak-Jaegermann
Date: Mon, 28 Mar 94 11:54:36 CST
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 1177
X-Lines: 32
Status: RO
<<<<<<<<<DO NOT REPLY TO THIS MESSAGE.>>>>>>>>>>>>>>>>>>>>>
This is the abstract of the paper "Asymptotic infinite-dimensional
theory of Banach spaces " by B.Maurey, V.Milman and
N.Tomczak-Jaegermann. The paper is typed in LATeX. The paper may be
downloaded from the bulletin board by ftp to ftp.math.okstate.edu or
transmitting the commands
begin
send maureymilmantomczakasym.ltx
end
to: banach-files at math.okstate.edu.
Abstract:In this paper structure of infinite dimensional Banach spaces
is
studied by using an asymptotic approach based on stabilization at
infinity of finite dimensional subspaces which appear everywhere far
away. This leads to notions of asymptotic structures and asymptotic
versions of a given Banach space. As an example of application of this
approach, a class of asymptotic $l_p$-spaces is introduced and
investigated in detail. Some properties of this class, as duality and
complementation, are analogous to properties of classical $l_p$
spaces, although the latter is more ``regular'' than its classical
counterpart; in contrast, the property exhibited in the uniqueness
theorem is very different than for spaces $l_p$.
File length:92K
From banach-request at math.okstate.edu Thu Mar 31 12:28:33 1994
To: banach-dist at math.okstate.edu
Subject: Abstract of a paper by E. Behrends
Date: Thu, 31 Mar 94 12:21:33 CST
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 796
X-Lines: 27
Status: RO
<<<<<<<<<DO NOT REPLY TO THIS MESSAGE.>>>>>>>>>>>>>>>>>>>>>
This is the abstract of the paper "New proofs of Rosenthal's
$\ell^{1}$--theorem and the Josefson--Nissenzweig theorem " by E.
Behrends. The paper is typed in LATeX. The paper may be downloaded
from
the bulletin board by ftp to ftp.math.okstate.edu or transmitting the
commands
begin
send behrendsl1jn.ltx
end
to: banach-files at math.okstate.edu.
Abstract:We give elementary proofs of the theorems mentioned in the
title. Our methods rely on a simple version of Ramsey theory and a
martingale difference lemma. They also provide quantitative results:
if a Banach space contains $\ell^{1}$ only with a bad constant then
every bounded sequence admits a subsequence which is ``nearly'' a weak
Cauchy sequence.
File length:40K
From banach-request at math.okstate.edu Mon Apr 4 09:36:12 1994
To: banach-dist at math.okstate.edu
Subject: Abstracts of two papers by M. Ostrovskii
Date: Mon, 4 Apr 94 9:30:22 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 1537
X-Lines: 53
Status: RO
<<<<<<<<<DO NOT REPLY TO THIS MESSAGE.>>>>>>>>>>>>>>>>>>>>>
This is the abstract of the paper "Quojections without Banach subspaces
" by M. Ostrovskii. The paper is typed in LATeX. The paper may be
downloaded from the bulletin board by ftp to ftp.math.okstate.edu or
transmitting the commands
begin
send ostrovskiiquojct.ltx
end
to: banach-files at math.okstate.edu.
Abstract: A quojection (projective limit of Banach spaces
with surjective linking mappings) without infinite dimensional
Banach subspaces is constructed. This results answers a question
posed by G.Metafune and V.B.Moscatelli.
File length:6K
<<<<<<<<<<<<<<<<>>>>>>>>>>>>>>>>>>>>>
This is the abstract of the paper "Classes of Banach spaces stable and
unstable with respect to the opening " by M. Ostrovskii. The paper is
typed in LATeX. The paper may be downloaded from the bulletin board by
ftp to ftp.math.okstate.edu or transmitting the commands
begin
send ostrovskiistblopn.ltx
end
to: banach-files at math.okstate.edu.
Abstract: The paper is a complement to the survey:
M.I.Ostrovskii "To\-po\-lo\-gies on the set of all subspaces of a
Banach
space and related questions of Banach space geometry", Quaestiones
Math. (to appear). It contains proofs of some results on stability
of properties of Banach spaces with respect to the geometric opening
stated in the survey without proofs.
Some results of the present paper are of independent interest,
in particular the description of a predual property of the Banach--Saks
property.
File length:39K
From banach-request at math.okstate.edu Fri Apr 8 10:07:01 1994
To: banach-dist at math.okstate.edu
Subject: Abstract of a paper by P. Casazza and H. Jarchow
Date: Fri, 8 Apr 94 9:59:22 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 1209
Status: RO
X-Lines: 41
<<<<<<<<<DO NOT REPLY TO THIS MESSAGE.>>>>>>>>>>>>>>>>>>>>>
This is the abstract of the paper "Self-Induced Compactness in Banach
Spaces" byP.G.Casazza and H.Jarchow. The paper is typed in TeX. The
paper may be downloaded from the bulletin board by ftp to
ftp.math.okstate.edu or transmitting the commands
begin
send casazzajarchowslfcmpct.tex
end
to: banach-files at math.okstate.edu.
Abstract:The question which led to the title of this note is the
following:
{\it If $X$ is a Banach space and $K$ is a compact subset of $X$, is it
possible to find a
compact, or even approximable, operator $v:X\to X$ such that
$K\subset\ol{v(B_X)}$?}
This question was first posed by P.G.Dixon [6] in connection with
investigating the problem of
the existence of approximate identities in certain operator algebras.
We
shall provide a couple
of observations related to the above question and give in particular a
negative answer in case of
approximable operators.
We shall also provide the first examples of Banach spaces having the
approximation property but
failing the bounded compact approximation property though all of their
duals do even have the
metric compact approximation property.
File length:23K
From banach-request at math.okstate.edu Tue Apr 12 13:31:05 1994
To: banach-dist at math.okstate.edu
Subject: Abstracts of two papers by J. Wenzel
Date: Tue, 12 Apr 94 13:19:13 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 2499
X-Lines: 77
Status: RO
<<<<<<<<<DO NOT REPLY TO THIS MESSAGE.>>>>>>>>>>>>>>>>>>>>>
This is the abstract of the paper "Real and complex operator ideals" by
J. Wenzel. The paper is typed in AMSLATeX. The paper may be downloaded
from the bulletin board by ftp to ftp.math.okstate.edu or transmitting
the commands
begin
send wenzelopidls.ltx
end
to: banach-files at math.okstate.edu.
Abstract:The powerful concept of an operator ideal on the class of all
Banach
spaces makes sense in the real and in the complex case. In both
settings we may, for example, consider compact, nuclear, or
$2$--summing operators, where the definitions are adapted to each
other in a natural way. This paper deals with the question whether or
not that fact is based on a general philosophy. Does there exists a
one--to--one correspondence between ``real properties'' and ``complex
properties'' defining an operator ideal? In other words, does there
exist for every real operator ideal a uniquely determined
corresponding complex ideal and vice versa?
Unfortunately, we are not abel to give a final answer. Nevertheless,
some preliminary results are obtained. In particular, we construct
for
every real operator ideal a corresponding complex operator ideal and
for every complex operator ideal a corresponding real one. However,
we
conjecture that there exists a complex operator ideal which can not
be
obtained from a real one by this construction.
The following approach is based on the observation that every
complex Banach space can be viewed as a real Banach space with an
isometry acting on it like the scalar multiplication by the imaginary
unit $i$.
File length:36K
This is the abstract of the paper "Ideal norms and trigonometric
orthonormal systems" by J. Wenzel. The paper is typed in AMSLATeX. The
paper may be downloaded from the bulletin board by ftp to
ftp.math.okstate.edu or transmitting the commands
begin
send wenzelidltrg.ltx
end
to: banach-files at math.okstate.edu.
Abstract: In this article, we characterize the $UMD$--property of a
Banach space $X$
by ideal norms associated with trigonometric orthonormal systems.
The asymptotic behavior of that numerical parameters can be used to
decide
whether or not $X$ is a $UMD$--space. Moreover, in the negative case,
we
obtain a measure that shows how far $X$ is from being a $UMD$--space.
The main result is, that all described parameters are equivalent also
in the
quantitative setting.
File length:37K
From banach-request at math.okstate.edu Thu Apr 14 11:14:27 1994
To: banach-dist at math.okstate.edu
Subject: abstract of a paper by A.Arias and G.Popescu
Date: Thu, 14 Apr 94 11:07:37 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 1224
Status: RO
X-Lines: 39
<<<<<<<<<DO NOT REPLY TO THIS MESSAGE.>>>>>>>>>>>>>>>>>>>>>
This is the abstract of the paper "Factorization and Reflexivity on
Fock spaces" by A.Arias and G.Popescu. The paper is typed in AMSTeX.
The paper may be downloaded from the bulletin board by ftp to
ftp.math.okstate.edu or transmitting the commands
begin
send ariaspopescufock.atx
end
to: banach-files at math.okstate.edu.
Abstract:The framework of the paper is that of the full Fock space
${\Cal F}^2({\Cal H}_n)$ and the Banach algebra $F^\infty$ which can be
viewed
as non-commutative analogues of the Hardy spaces $H^2$ and
$H^\infty$ respectively.
An inner-outer factorization for any element in
${\Cal F}^2({\Cal H}_n)$ as
well as characterization of invertible elements in $F^\infty$ are
obtained. We also give a complete characterization of invariant
subspaces for the left creation operators $S_1,\cdots, S_n$ of
${\Cal F}^2({\Cal H}_n)$.
This enables us to show that every weakly (strongly)
closed unital subalgebra of $\{\varphi(S_1,\cdots,S_n):\varphi\in
F^\infty\}$
is reflexive, extending in this way the classical result of Sarason
[S].
Some properties of inner and outer functions and many examples are also
considered.
File length:52K
From banach-request at math.okstate.edu Wed Apr 20 10:25:39 1994
To: banach-dist at math.okstate.edu
Subject: Abstract of a paper by A. Koldobsky
Date: Wed, 20 Apr 94 10:08:43 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 894
X-Lines: 27
Status: RO
<<<<<<<<<DO NOT REPLY TO THIS MESSAGE.>>>>>>>>>>>>>>>>>>>>>
This is the abstract of the paper "A Banach subspace of $L_{1/2}$ which
does not embed in $L_1$ (isometric version)" by A. Koldobsky.
The paper is typed in AMSTeX. The paper may be downloaded
from the bulletin board by ftp to ftp.math.okstate.edu
or transmitting the commands
begin
send koldobskylhlf.atx
end
to: banach-files at math.okstate.edu.
Abstract:For every $n\geq 3,$ we construct an $n$-dimensional Banach
space which is isometric to a subspace of $L_{1/2}$ but is not
isometric
to a subspace of $L_1.$ The isomorphic version of this problem (posed
by S. Kwapien in 1969) is still open. Another example gives a Banach
subspace of $L_{1/4}$ which does not embed isometrically in $L_{1/2}.$
Note that, from the isomorphic point of view, all the spaces $L_q$ with
$q<1$ have the same Banach subspaces.
File length:18K
From banach-request at math.okstate.edu Wed Apr 20 12:52:31 1994
To: banach-dist at math.okstate.edu
Subject: Abstract of a paper by M. Ostrovskii
Date: Wed, 20 Apr 94 12:17:38 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 1218
X-Lines: 41
Status: RO
<<<<<<<<<DO NOT REPLY TO THIS MESSAGE.>>>>>>>>>>>>>>>>>>>>>
This is the abstract of the paper "Subspaces containing biorthogonal
functionals of bases of different types" by M. Ostrovskii. The paper
is typed in AMSTeX. The paper may be downloaded from the bulletin board
by ftp to ftp.math.okstate.edu or transmitting the commands
begin
send ostrovskiibiofnct.atx
end
to: banach-files at math.okstate.edu.
Abstract:The paper is devoted to two particular cases of the following
general
problem. Let $\alpha$ and $\beta$ be two types of bases in Banach
spaces.
Let a Banach space $X$ has bases of both types and a subspace
$M\subset X^*$ contains the sequence of biorthogonal functionals
of some $\alpha$-basis in $X$. Does $M$ contain a sequence of
biorthogonal
functionals of some $\beta$-basis in $X$?
The following particular cases are considered:
$(\alpha, \beta)$=(Schauder bases, unconditional bases),
$(\alpha, \beta)$=(Nonlinear operational bases, linear operational
bases).
The paper contains an investigation of some of the spaces constructed
by
S.Belle\-not in ``The $J$-sum of Banach spaces'', J. Funct. Anal. {\bf
48}
(1982), 95--106. (These spaces are used in some examples.)
File length:40K
From banach-request at math.okstate.edu Thu Apr 21 09:35:46 1994
To: banach-dist at math.okstate.edu
Subject: Abstract of a paper by S.Dilworth and M.Girardi
Date: Thu, 21 Apr 94 9:30:11 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 804
X-Lines: 27
Status: RO
<<<<<<<<<DO NOT REPLY TO THIS MESSAGE.>>>>>>>>>>>>>>>>>>>>>
This is the abstract of the paper "Nowhere Weak Differentiability of
the Pettis Integral" by S.Dilworth and M.Girardi. The paper is typed
in AMSTeX. The paper may be downloaded from the bulletin board by ftp
to ftp.math.okstate.edu or transmitting the commands
begin
send dilworthgirardiwkdfptts.atx
end
to: banach-files at math.okstate.edu.
Abstract:For each infinite-dimensional Banach space $\X$,
we construct a strongly-measurable
$\X$-valued Pettis integrable function
whose indefinite Pettis integral is nowhere weakly differentiable;
thus, for this function the
Lebesgue Differentiation Theorem fails rather spectacularly. We
also address the degree of
nondifferentiability of the indefinite Pettis integral.
File length:25K
From banach-request at math.okstate.edu Mon Apr 25 15:12:42 1994
To: banach-dist at math.okstate.edu
Subject: Abstracts of three papers by M.Gonzalez and J.Gutierrez
Date: Mon, 25 Apr 94 15:05:06 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 4033
X-Lines: 112
Status: RO
<<<<<<<<<DO NOT REPLY TO THIS MESSAGE.>>>>>>>>>>>>>>>>>>>>>
This is the abstract of the paper "Polynomial Grothendieck properties"
by M.Gonzalez and J.Gutierrez. The paper is typed in LATeX. The paper
may be downloaded from the bulletin board by ftp to
ftp.math.okstate.edu or transmitting the commands
begin
send gonzalezgutierrezpolygroth.ltx
end
to: banach-files at math.okstate.edu.
Abstract:A Banach space $E$ has the Grothendieck property if every
(linear
bounded) operator from $E$ into $c_0$ is weakly compact. It is proved
that, for an integer $k>1$, every $k$-homogeneous polynomial from $E$
into $c_0$ is weakly compact if and only if the space ${\cal P}(^kE)$
of scalar valued polynomials on $E$ is reflexive. This is equivalent
to the symmetric $k$-fold projective tensor product of $E$ (i.e., the
predual of ${\cal P}(^kE)$) having the Grothendieck property. The
Grothendieck property of the projective tensor product
$E\widehat{\bigotimes}F$ is also characterized. Moreover, the
Grothendieck property of $E$ is described in terms of sequences of
polynomials.
Finally, it is shown that if every operator from $E$ into $c_0$
is completely continuous, then so is every polynomial between these
spaces.
File length:33K
This is the abstract of the paper "When every polynomial is
unconditionally converging" by M.Gonzalez and J.Gutierrez.
The paper is typed in LATeX. The paper may be downloaded
from the bulletin board by ftp to ftp.math.okstate.edu
or transmitting the commands
begin
send gonzalezgutierrezpolyuc.ltx
end
to: banach-files at math.okstate.edu.
Abstract:Letting $E$, $F$ be Banach spaces, the main two results of
this paper
are the following: (1) If every (linear bounded) operator
$E\rightarrow F$ is unconditionally converging, then every polynomial
from $E$ to $F$ is unconditionally converging (definition as in the
linear case). (2) If $E$ has the Dunford-Pettis property and every
operator $E\rightarrow F$ is weakly compact, then every $k$-linear
mapping from $E^k$ into $F$ takes weak Cauchy sequences into norm
convergent sequences. In particular, every polynomial from
$\ell_\infty$ into a space containing no copy of $\ell_\infty$ is
completely continuous. This solves a problem raised by the authors in
a previous paper, where they showed that there exist nonweakly compact
polynomials from $\ell_\infty$ into any nonreflexive space.
File length:25K
This is the abstract of the paper "Unconditionally converging
polynomials
on Banach spaces" by M.Gonzalez and J.Gutierrez.
The paper is typed in LATeX. The paper may be downloaded
from the bulletin board by ftp to ftp.math.okstate.edu
or transmitting the commands
begin
send gonzalezgutierrezucpoly.ltx
end
to: banach-files at math.okstate.edu.
Abstract:We prove that weakly unconditionally Cauchy (w.u.C.) series
and
unconditionally converging (u.c.) series are preserved under the
action of polynomials or holomorphic functions on
Banach spaces, with natural restrictions in the latter case. Thus it is
natural to introduce the unconditionally converging polynomials,
defined as polynomials taking w.u.C. series into u.c.\ series, and
analogously, the unconditionally converging holomorphic functions.
We show that most of the classes of polynomials
which have been considered in the literature consist of unconditionally
converging polynomials. Then we study several ``polynomial
properties'' of Banach spaces, defined in terms of relations of
inclusion between classes of polynomials, and also some
``holomorphic properties''. We find remarkable differences with the
corresponding ``linear properties''. For example, we show that a Banach
space $E$ has the polynomial property (V) if and only if
the spaces of homogeneous scalar polynomials
${\cal P}(^k\!E)$, $k\in{\bf N}$, or the space of scalar holomorphic
mappings
of bounded type ${\cal H}_b(E),$ are reflexive. In this case
the dual space $E^*$, like the dual of Tsirelson's space, is reflexive
and contains no copies of $\ell_p$.
File length:44K
From banach-request at math.okstate.edu Fri Apr 29 09:55:38 1994
To: banach-dist at math.okstate.edu
Subject: Abstract of a paper by P. Hitczenko and S.Montgomery-Smith
Date: Fri, 29 Apr 94 9:50:59 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 1148
X-Lines: 34
Status: RO
<<<<<<<<<DO NOT REPLY TO THIS MESSAGE.>>>>>>>>>>>>>>>>>>>>>
This is the abstract of the paper "Tangent Sequences in Orlicz and
Rearrangement Invariant Spaces" by Pawe\l\ Hitczenko and Stephen
J.~Montgomery-Smith. The paper is typed in TeX. The paper may be
downloaded from the bulletin board by ftp to ftp.math.okstate.edu or
transmitting the commands
begin
send hitczenkomontsmithtngntsq.tex
end
to: banach-files at math.okstate.edu.
Abstract:Let $(f_n)$\ and $(g_n)$\ be two sequences of random variables
adapted
to an increasing sequence of $\sigma$-algebras $({\cal F}_n)$\ such
that
the conditional distributions of $f_n$\ and $g_n$\ given ${\cal
F}_{n-1}$\ coincide, and such that the sequence $(g_n)$\ is
conditionally independent. Then it is known that $\normo{\sum f_k}_p
\le C \, \normo{\sum g_k}_p$, $1 \le p \le
\infty$\ , where the constant $C$\ is independent of
$p$. The aim of this paper is to extend this result to
certain classes of Orlicz and rearrangement invariant spaces. This
paper
includes fairly general techniques for obtaining rearrangement
invariant
inequalities from Orlicz norm inequalities.
File length:30K
From banach-request at math.okstate.edu Tue May 3 09:21:32 1994
To: banach-dist at math.okstate.edu
Subject: Abstract of a paper by M.Gonzalez, E.Saksman, and H. Tylli
Date: Tue, 3 May 94 9:11:32 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 1243
X-Lines: 33
Status: RO
<<<<<<<<<DO NOT REPLY TO THIS MESSAGE.>>>>>>>>>>>>>>>>>>>>>
This is the abstract of the paper "Representing non-weakly compact
operators" by M. Gonzalez, E. Saksman, and H. Tylli. The paper is
typed
in TeX. The paper may be downloaded from the bulletin board by ftp to
ftp.math.okstate.edu or transmitting the commands
begin
send gonzalezsaksmantyllinwkcmpop.tex
end
to: banach-files at math.okstate.edu.
Abstract:For each $S \in L(E)$ (with $E$ a Banach space) the operator
$R(S) \in
L(E^{**}/E)$ is defined by $R(S)(x^{**}+E) = S^{**}x^{**}+E$ \quad
($x^{**}\in E^{**}$). We study mapping properties of the correspondence
$S\to R(S),$ which provides a representation $R$ of the weak Calkin
algebra $L(E)/W(E)$ (here $W(E)$ denotes the weakly compact operators
on $E$). Our results display strongly varying behaviour of $R.$ For
instance, there are no non--zero compact operators in Im$(R)$ in the
case of $L^1$ and $C(0,1),$ but $R(L(E)/W(E))$ identifies isometrically
with the class of lattice regular operators on $\ell^2$ for
$E=\ell^2(J)$ (here $J$ is the James' space). Accordingly, there is an
operator $T \in L(\ell^2(J))$ such that $R(T)$ is invertible but $T$
fails to be invertible modulo $W(\ell^2(J)).$
File length:57K
From banach-request at math.okstate.edu Wed May 11 10:41:23 1994
To: banach-dist at math.okstate.edu
Subject: Abstract of a paper by J.Bonet and J.Taskinen
Date: Wed, 11 May 94 10:30:40 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 1016
X-Lines: 31
Status: RO
<<<<<<<<<DO NOT REPLY TO THIS MESSAGE.>>>>>>>>>>>>>>>>>>>>>
This is the abstract of the paper "The subspace problem for weighted
inductive limits of spaces of holomorphic functions" by J.Bonet and
J.Taskinen. The paper is typed in TeX. The paper may be downloaded
from the bulletin board by ftp to ftp.math.okstate.edu or transmitting
the commands
begin
send bonettaskinenndctvlmt.tex
end
to: banach-files at math.okstate.edu.
Abstract:We construct a countable inductive limit of weighted Banach
spaces of
holomorphic functions, which is not a topological subspace of the
corresponding weighted inductive limit of spaces of continuous
functions. The main step of our construction, using a special sequence
of outer holomorphic functions, shows that a certain sequence space is
isomorphic to a complemented subspace of a weighted space of
holomorphic functions in two complex variables.
This example solves in the negative a well-known open problem raised
by Bierstedt, Meise and Summers.
File length:34K
From banach-request at math.okstate.edu Tue May 17 11:16:40 1994
To: banach-dist at math.okstate.edu
Subject: Expiration of bitnet addresses at Texas A&M
Cc: russ at math.okstate.edu
Date: Tue, 17 May 94 11:06:53 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 1209
X-Lines: 26
Status: RO
On June 30, Texas A&M quits bitnet. All bitnet names will change to
Internet names. The translations are:
|> BITNET Names to Internet Names Translation Table
|>
|> TAMU BITNET Node Name T TAMU Internet Node Name
|>
|> tambigrf bigraf.tamu.edu
|> tamchem chemvx.tamu.edu
|> tamcomp comp.tamu.edu
|> tamlmsb lmsbvx.tamu.edu
|> tammvs1 tammvs1.tamu.edu
|> tamodp odpvax.tamu.edu
|> tamphys phys.tamu.edu
|> tamrigel rigel.tamu.edu
|> tamsigma sigma.tamu.edu
|> tamsumma summa.tamu.edu
|> tamug tamug2.tamu.edu
|> tamusda tamusda.tamu.edu
|> tamvenus venus.tamu.edu
|> tamvet vthvax.tamu.edu
|> tamvm1 tamvm1.tamu.edu
|> tamzeus zeus.tamu.edu
From banach-request at math.okstate.edu Tue May 17 12:29:52 1994
To: banach-dist at math.okstate.edu
Subject: Abstract of a paper by P.Casazza,N.Kalton, D.Kutzarova and M.Mastylo
Date: Tue, 17 May 94 11:32:01 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 648
X-Lines: 23
Status: RO
<<<<<<<<<DO NOT REPLY TO THIS MESSAGE.>>>>>>>>>>>>>>>>>>>>>
This is the abstract of the paper "Complex interpolation and
complementably minimal spaces" by P.Casazza,N.Kalton, D.Kutzarova and
M.Mastylo. The paper is typed in AMSTeX. The paper may be downloaded
from the bulletin board by ftp to ftp.math.okstate.edu or transmitting
the commands
begin
send casazzakaltonkutzarovamastylo.atx
end
to: banach-files at math.okstate.edu.
Abstract:We construct a class of super-reflexive complementably minimal
spaces, and study uniformly convex distortions of the norm on Hilbert
space by using methods of complex interpolation.
File length:26K
From banach-request at math.okstate.edu Wed May 25 00:52:38 1994
To: banach-dist at math.okstate.edu
Subject: Abstract of a paper by N. Randrianantoanina
Date: Tue, 24 May 94 11:23:15 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 925
Status: RO
X-Lines: 28
<<<<<<<<<DO NOT REPLY TO THIS MESSAGE.>>>>>>>>>>>>>>>>>>>>>
This is the abstract of the paper "Some properties of space of compact
operators" by N. Randrianantoanina. The paper is typed in AMSLATeX.
The paper may be downloaded from the bulletin board by ftp to
ftp.math.okstate.edu or transmitting the commands
begin
send nrandricmpctop.ltx
end
to: banach-files at math.okstate.edu.
Abstract:Let $X$ be a separable Banach space, $Y$ be a Banach
space and $\Lambda$ be a subset of the dual group of a given compact
metrizable abelian group. We prove that if $X^*$ and $Y$ have the type
I-$\Lambda$-RNP (resp. type II-$\Lambda$-RNP) then $K(X,Y)$ has the
type
I-$\Lambda$-RNP (resp. type II-$\Lambda$-RNP) provided
$L(X,Y)=K(X,Y)$.
Some corollaries are then presented as well as results conserning the
separability assumption on $X$. Similar results for the NearRNP and the
WeakRNP are also presented.
File length:37K
From banach-request at math.okstate.edu Mon Jun 6 12:44:56 1994
To: banach-dist at math.okstate.edu
Subject: Abstract of a paper by F. Chaatit and M. Khamsi
Date: Mon, 6 Jun 94 12:36:22 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 711
X-Lines: 24
Status: RO
<<<<<<<<<DO NOT REPLY TO THIS MESSAGE.>>>>>>>>>>>>>>>>>>>>>
This is the abstract of the paper "Uniform Kadec-Klee Property in
Banach lattices" by F. Chaatit and M. Khamsi. The paper is typed in
LATeX. The paper may be downloaded from the bulletin board by ftp to
ftp.math.okstate.edu or transmitting the commands
begin
send chaatitkhamsiukk.ltx
end
to: banach-files at math.okstate.edu.
Abstract:We prove that a Banach lattice $X$ which does not contain the
$l^n_{\infty}$-uniformly has an equivalent norm which is uniformly
Kadec-Klee for a natural topology $\tau$ on $X$. In case
the Banach lattice is purely atomic, the topology $\tau$ is
the coordinatewise convergence topology.
File length:21K
From banach-request at math.okstate.edu Tue Jun 7 08:43:20 1994
To: banach-dist at math.okstate.edu
Subject: Abstract of a paper by P.K. Lin
Date: Tue, 7 Jun 94 8:39:49 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 955
X-Lines: 31
Status: RO
<<<<<<<<<DO NOT REPLY TO THIS MESSAGE OR MAIL TO
BANACH-DIST.>>>>>>>>>>>
This is the abstract of the paper "A remark on contraction semigroups
on Banach spaces" by P.K. Lin. The paper is typed in TeX. The paper
may be downloaded from the bulletin board by ftp to
ftp.math.okstate.edu or transmitting the commands
begin
send lincntrctsemigrp.ltx
end
to: banach-files at math.okstate.edu.
Abstract:Let $X$ be a complex Banach space and let $J:X \to X^*$ be a
duality
section on $X$ (i.e. $\langle
x,J(x)\rangle=\|J(x)\|\|x\|=\|J(x)\|^2=\|x\|^2$).
For any unit vector $x$ and any
($C_0$) contraction semigroup $T=\{e^{tA}:t \geq 0\}$, Goldstein
proved that if $X$ is a Hilbert space and if $|\langle T(t)
x,J(x)\rangle| \to 1 $ as $t \to \infty$, then $x$ is an
eigenvector of $A$ corresponding to a purely imaginary eigenvalue.
In this article, we prove the similar result holds if $X$ is a
strictly convex complex Banach space.
File length:12K
From banach-request at math.okstate.edu Tue Jun 7 11:42:19 1994
To: banach-dist at math.okstate.edu
Subject: Abstract of a paper by Y.Benyamini
Date: Tue, 7 Jun 94 11:34:38 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 985
X-Lines: 33
Status: RO
<<<<<<<<<DO NOT REPLY TO THIS MESSAGE OR MAIL TO
BANACH-DIST.>>>>>>>>>>>
This is the abstract of the paper "The Uniform Classification of Banach
Spaces" by Y.Benyamini. The paper is typed in AMSTeX. The paper may be
downloaded from the bulletin board by ftp to ftp.math.okstate.edu or
transmitting the commands
begin
send benyaminiunifrm.atx
end
to: banach-files at math.okstate.edu.
Abstract:This is a survey of results on the classification of Banach
spaces as
metric spaces. It is based on a series of lectures I gave at the
Functional Analysis Seminar in 1984-1985, and it appeared in the
1984-1985
issue of the Longhorn Notes. I keep receiving requests for copies,
because
some of the material here does not appear elsewhere and because the
Longhorn Notes are not so easy to get. Having it posted on the
Bulletin
thus seems reasonable despite the fact that it is not updated, and I
thank
the Editors of the Longhorn Notes for their permission to do so.
File length:68K
From banach-request at math.okstate.edu Tue Jun 7 13:19:47 1994
To: banach-dist at math.okstate.edu
Subject: Abstracts of two papers by M. Talagrand
Date: Tue, 7 Jun 94 13:04:42 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 3913
Status: RO
X-Lines: 104
<<<<<<<<<DO NOT REPLY TO THIS MESSAGE OR MAIL TO
BANACH-DIST.>>>>>>>>>>>
This is the abstract of the paper "Concentration of Measure and
Isoperimetric Inequalities in Product Spaces" by M. Talagrand. The
paper is typed in AMSTeX. The paper may be downloaded from the bulletin
board by ftp to ftp.math.okstate.edu or transmitting the commands
begin
send talagrandcncenmsr.atx
end
to: banach-files at math.okstate.edu.
Abstract:The concentration of measure prenomenon roughly states that,
if a set
$A$ in a product $\Omega^N$ of probability spaces has measure at least
one half, ``most'' of the points of $\Omega^N$ are ``close'' to $A$.
We proceed to a systematic exploration of this phenomenon. The
meaning of the word ``most'' is made rigorous by isoperimetric-type
inequalities that bound the measure of the exceptional sets. The
meaning of the work ``close'' is defined in three main ways, each of
them giving rise to related, but different inequalities. The
inequalities are all proved through a common scheme of proof.
Remarkably, this simple approach not only yields qualitatively optimal
results, but, in many cases, captures near optimal numerical
constants. A large number of applications are given, in particular
in Percolation, Geometric Probability, Probability in Banach Spaces,
to demonstrate in concrete situations the extremely wide range of
application of the abstract tools.
File length:291K
<<<<<<<<<>>>>>>>>>>>
This is the abstract of the paper " Constructions of Majorizing
Measures, Bernoulli processes and cotype" by M. Talagrand. The paper
is typed in TeX. The paper may be downloaded from the bulletin board by
ftp to ftp.math.okstate.edu or transmitting the commands
begin
send talagrandmjrmsr.atx
end
to: banach-files at math.okstate.edu.
Abstract: We present three methods to construct majorizing measures in
various settings.
These methods are based on direct constructions of increasing
sequences of
partitions through a simple exhaustion procedure rather than on the
construction of well separated ultrametric subspaces. The first scheme
of
construction provides a simple unified proof of the Majorizing
Measure Theorem for Gaussian processes and of the following fact. If
$A,B$
are balanced convex sets in a vector space, and if $A$ is sufficiently
convex, a control of the covering numbers $N(A,\varepsilon B)$ for all
$\varepsilon>0$ implies the (a priori stronger) existence of a
majorizing
measure on $A$ provided with the distance induced by $B$. This
establishes,
apparently for the first time, a clear link between geometry and
majorizing
measures, and generalizes the earlier results on majorizing measures
on
ellipsoids in Hilbert space, that were obtained by specific methods.
Much
of the rest of the paper is concerned with the structure of bounded
Bernoulli (=Radmacher) processes. The main conjecture on their
structure
is reformulated in several ways, that are shown to be equivalent, and
to be
equivalent to the existence of certain majorizing measures. Two
schemes of
construction of majorizing measures related to this problem are
presented. One allows to describe Bernoulli processes
when the index set, provided with the supremum norm, is sufficiently
small.
The other allows to prove a weak form of the main conjecture. This
result,
while not sufficient to characterize boundedness of Bernoulli
processes,
allows to prove the
remarkable fact that for any continuous operator $T$ from $C(K)$ to
$E$,
the Rademacher cotype-2 constant of $T$ is controlled by the maximum of
the
Gaussian cotype-2 constant of $T$ and of its $(2,1)$-summing norm. It
is
also proved, as a consequence of one of the main inequalities on
Bernoulli
processes, that in a Banach space $E$ of dimension $n$, at most
$n\log n \log\log n$ vectors suffices to compute the Rademacher cotype
$2$ constant of $E$ within a universal constant.
File length:120K
From banach-request at math.okstate.edu Tue Jun 7 14:34:58 1994
To: banach-dist at math.okstate.edu
Subject: Abstract of a paper by V.de la Pena,S. Montgomery-Smith, and J. Szulga
Date: Tue, 7 Jun 94 14:09:13 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 1250
X-Lines: 41
Status: RO
<<<<<<<<<DO NOT REPLY TO THIS MESSAGE OR MAIL TO
BANACH-DIST.>>>>>>>>>>>
This is the abstract of the paper "Contraction and decoupling
inequalities for multilinear forms and u-statistics" by V. de la Pena,
S.
Montgomery-Smith, and J. Szulga. The paper is typed in LATeX. The
paper
may be downloaded from the bulletin board by ftp to
ftp.math.okstate.edu or transmitting the commands
begin
send delapenamontsmithszulgadecoup.ltx
end
to: banach-files at math.okstate.edu.
Abstract:We prove decoupling inequalities for
random polynomials in independent random variables with coefficients in
vector
space. We use various means of comparison, including rearrangement
invariant
norms (e.g., Orlicz and Lorentz norms), tail distributions, tightness,
hypercontractivity, etc.
This paper replaces the two papers
Decoupling inequalities for tail probabilities of multilinear forms
in symmetric and hypercontractive variables
by V.H. de la Pe\~na and S.J. Montgomery-Smith
and
Robust decoupling of homogeneous random chaoses
by J. Szulga
both previously submitted to the bulletin board under the filenames
montsmithpenadecoup?.tex szulgadechom?.ltx.
This present paper is accepted for publication by Annals of
Probability.
File length:68K
From banach-request at math.okstate.edu Tue Jun 7 14:35:22 1994
To: banach-dist at math.okstate.edu
Subject: Withdrawal of Paper
Date: Tue, 7 Jun 94 14:28:16 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 608
X-Lines: 16
Status: RO
Stephen Montgomery-Smith announces the withdrawal of his paper
"The Fourier Transform on Rearrangement Invariant Spaces."
This paper was posted to the Banach Bulletin Board under the filename
montsmithhdrfyng.tex.
This paper is being withdrawn, because a number of Russian authors
dealt
with the same subject during the 1960's and 70's. In particular,
A.B. Gulisa\v svili obtained much stronger results in
"Fourier transforms of monotonic functions and the ditribution
function"
Soviet Math. Dokl., Vol 12 (1971), No. 1
A.B. Gulisa\v svili's email address is (temporarily)
GULI at buenga.bu.edu.
From banach-request at math.okstate.edu Tue Jun 7 16:16:47 1994
To: banach-dist at math.okstate.edu
Subject: Abstract of a paper by S. Montgomery-Smith
Date: Tue, 7 Jun 94 14:19:01 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 762
X-Lines: 26
Status: RO
<<<<<<<<<DO NOT REPLY TO THIS MESSAGE OR MAIL TO
BANACH-DIST.>>>>>>>>>>>
This is the abstract of the paper "Stability and Dichotomy of Positive
Semigroups on $L_p$" by S. Montgomery-Smith. The paper is typed in
TeX. The paper may be downloaded from the bulletin board by ftp to
ftp.math.okstate.edu or transmitting the commands
begin
send montsmithpossemigrp.tex
end
to: banach-files at math.okstate.edu.
Abstract:A new proof of a result of Lutz Weis is given, that states
that the
stability of a positive
strongly continuous semigroup $(e^{tA})_{t \ge 0}$\ on $L_p$\
may be determined by the quantity $s(A)$. We also give an example
to show that the dichotomy of the semigroup may not always be
determined by the spectrum $\sigma(A)$.
File length:12K
From banach-request at math.okstate.edu Tue Jun 21 13:02:01 1994
To: banach-dist at math.okstate.edu
Subject: Abstract of a paper by H.P. Rosenthal
Date: Mon, 20 Jun 94 12:26:30 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 2489
X-Lines: 59
Status: RO
<<<<<<<<<DO NOT REPLY TO THIS MESSAGE OR MAIL TO
BANACH-DIST.>>>>>>>>>>>
This is the abstract of the paper "Differences of bounded
semi-continuous functions, I" by H.P. Rosenthal. The paper is typed in
AMSTeX. The paper may be downloaded from the bulletin board by ftp to
ftp.math.okstate.edu or transmitting the commands
begin
send rosenthaldbsc.atx
end
to: banach-files at math.okstate.edu.
Abstract:Structural properties are given for $D(K)$, the Banach algebra
of
(complex) differences of bounded semi-continuous functons on a metric
space $K$. For example, it is proved that if all finite derived sets of
$K$
are non-empty, then a complex function $\varphi$ operates on $D(K)$
(i.e., $\varphi\circ f\in D(K)$ for all $f\in D(K)$) if and only if
$\varphi$ is locally Lipschitz. Another example: if $W\subset K$ and
$g\in D(W)$ is real-valued, then it is proved that $g$ extends to a
$\tilde g$ in $D(K)$ with $\|\tilde g\|_{D(K)} = \|g\|_{D(W)}$.
Considerable
attention is devoted to $SD(K)$, the closure in $D(K)$ of the set of
simple
functions in $D(K)$. Thus it is proved that every member of $SD(K)$ is
a
(complex) difference of semi-continuous functions in $SD(K)$, and that
$|f|$ belongs to $SD(K)$ if $f$ does. An intrinsic characterization of
$SD(K)$ is given, in terms of transfinite oscillation sets. Using the
transfinite oscillations, alternate proofs are given of the results of
Chaatit, Mascioni and Rosenthal that functions of finite Baire-index
belong
to $SD(K)$, and that $SD(K)\ne D(K)$ for interesting $K$.
It is proved that the ``variable oscillation criterion'' characterizes
functions belonging to $B_{1/4}(K)$, thus answering an open problem
raised
in earlier work of Haydon, Odell and Rosenthal. It is also proved that
$f$
belongs to $B_{1/4}(K)$ (if and) only if $f$ is a uniform limit of
simple
$D$-functions of uniformly bounded $D$-norm iff $\osc_\omega f$ is
bounded;
the last equivalence has also been obtained by V.~Farmaki, using other
methods. Elementary computations of the $D$-norm of some special simple
functions are given; for example the $D$-norm of $\chix_A$ for a given
set $A$ is computed precisely, in terms of $\partial^j A$, the $j$-th
boundary of $A$, $j=1,2,\ldots$. The main structural results on $SD(K)$
and $B_{1/4}(K)$ are obtained using the finite oscillations of a given
function. The higher order oscillations are exploited for the study of
the transfinite analogues of $B_{1/4}(K)$, in subsequent work.
File length:184K
From banach-request at math.okstate.edu Thu Jun 30 09:02:14 1994
To: banach-dist at math.okstate.edu
Subject: Abstract of a paper by N. Asmar, B. Kelly, and S. Montgomery-Smith
Date: Thu, 30 Jun 94 8:51:58 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 902
X-Lines: 29
Status: RO
<<<<<<<<<DO NOT REPLY TO THIS MESSAGE OR MAIL TO
BANACH-DIST.>>>>>>>>>>>
This is the abstract of the paper "A Note on UMD Spaces and
Transference in Vector-valued Function Spaces" by N. Asmar, B. Kelly,
and S. Montgomery-Smith. The paper is typed in AMSTeX. The paper may
be downloaded from the bulletin board by ftp to ftp.math.okstate.edu or
transmitting the commands
begin
send asmarkellymontsmithumd.atx
end
to: banach-files at math.okstate.edu.
Abstract:We introduce the notion of an ACF space, that is, a space for
which a
generalized version of M.~Riesz's theorem for conjugate functions with
values in the Banach space is bounded. We use transference to prove
that spaces for which the Hilbert transform is bounded, i\.e\.
$X\in\text{HT}$, are ACF spaces. We then show that Bourgain's proof of
$X\in\text{HT}\implies X\in\text{UMD}$ is a consequence of this
result.
File length:17K
From banach-request at math.okstate.edu Fri Jul 15 10:27:57 1994
To: banach-dist at math.okstate.edu
Subject: Conference at Kent State
Date: Fri, 15 Jul 94 10:13:05 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 2216
Status: RO
X-Lines: 73
Update: CONFERENCE ON POLYNOMIAL INEQUALITIES
(Sept. 29 - Oct. 1, 1994)
Kent State University, Kent, Ohio 44242.
Dear Colleagues,
It is a few months since some of you have heard from
us about this meeting, and perhaps it is a good idea to give
you the very brief update.
We have been fortunate that a number of excellent
mathematicians have tentatively agreed to participate.
Among them are the following:
Miroslaw Baran
Frank Beaucoup
Bernard Beauzamy
Anne Bellido
Peter Borwein
David Boyd
Jerome Degot
Robert Gardner
Narendra Govil
Larry Harris
William Harris
J.C. Hohl
Maciej Klimek
Norm Levenberg
Miguel Lacruz
Jose Llavona
Yolanda Melendez
R.H. Mohapatra
Wieslaw Plesniak
Bruce Reznick
Yannis Sarantopoulos
Jozef Siciak
Richard Varga
We are hoping to have a small-to-medium sized meeting,
of around 50-60 mathematicians. Thus, on the one hand, resources
may be limited. On the other hand, there is always room for one
or two more excellent people! In addition, we would like to do
what we can to encourage young people to attend, and your help
in bringing them to our attention (and vice versa) would be
appreciated.
Our financial situation is still not absolutely clear,
although things are not completely bleak. In particular, we have
recently been informed that the Institute for Mathematics and its
Applications (I.M.A.) has awarded a grant to this meeting. As a
result, we believe it to be likely that we will be able to pay
for the housing (in a nearby motel) for each of the participants
for all 3 nights of the meeting. We still have several grant
applications pending. As soon as we know the outcome of these
applications, we will be able to inform you about whether we
will be able to provide additional support for everyone,
or whether we will be able to provide travel support for some
participants. Needless to say, if you can help us by using
other grant money to pay for your travel and/or accommodation,
then this would be greatly appreciated, and would free up
resources for others.
We'll be in touch again by the end of the Summer with
further details about the meeting.
With best wishes,
Richard M. Aron and Andrew M. Tonge (for the organizers)
July 14, 1994
From banach-request at math.okstate.edu Tue Jul 19 11:43:00 1994
To: banach-dist at math.okstate.edu
Subject: IRFAS
Date: Tue, 19 Jul 94 11:33:05 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 1117
X-Lines: 31
Status: RO
PRELIMINARY ANNOUNCEMENT OF SUMMER TAMIRFAS
The Informal Regional Functional Analysis Seminar
will meet Saturday, August 13 and Sunday, August 14
in 317 Milner Hall at Texas A&M in College Station.
SCHEDULE: TBA. The first talk on Saturday will be at 11 a.m. and
the last talk on Sunday will end at 5 or 6 p.m.
HOUSING: Since this is graduation weekend at A&M, you will
probably have difficulty making reservations directly. We have
reserved some rooms at Day's Inn. You will need to go through Julie
Hodges, (hodges at math.tamu.edu, (409) 845-3261, (409) 845-6028
FaX) to get one of these rooms. Please tell Julie whether you are
requesting support, the type of accomodation you desire (smoking
or nonsmoking), which night(s) you need the room, and give her a
roommate preference.
We expect to be able to cover housing, possibly in a double room,
for most participants. Preference will be given to participants who
do not have other sources of support, such as sponsored research
grants.
W. Johnson, johnson at math.tamu.edu
D. Larson, drl3533 at venus.tamu.edu
J. Zinn, jzinn at math.tamu.edu
From banach-request at math.okstate.edu Wed Jul 20 14:26:30 1994
To: banach-dist at math.okstate.edu
Subject: Abstract of a paper by T.Gowers and B.Maurey
Date: Wed, 20 Jul 94 13:54:25 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 892
X-Lines: 28
Status: RO
<<<<<<<<<DO NOT REPLY TO THIS MESSAGE OR MAIL TO
BANACH-DIST.>>>>>>>>>>>
This is the abstract of the paper "Banach spaces with small spaces of
operators" by T. Gowers and B. Maurey. The paper is typed in TeX. The
paper may be downloaded from the bulletin board by ftp to
ftp.math.okstate.edu or transmitting the commands
begin
send gowersmaureysmlopsp.tex
end
to: banach-files at math.okstate.edu.
Abstract:For a certain class of algebras
$\cal A$ we give a method for constructing Banach spaces $X$ such that
every operator on $X$ is close to an operator in $\cal A$. This is
used to produce spaces with a small amount of structure. We present
several applications.
Amongst them are constructions of a new prime Banach
space, a space isomorphic to its subspaces of codimension two but not
to its hyperplanes and a space isomorphic to its cube but not to its
square.
File length:76K
From banach-request at math.okstate.edu Fri Jul 22 10:50:29 1994
To: banach-dist at math.okstate.edu
Subject: Abstract of a paper by S. Argyros and I. Deliyanni
Date: Fri, 22 Jul 94 10:46:18 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 750
X-Lines: 27
Status: RO
<<<<<<<<<DO NOT REPLY TO THIS MESSAGE OR MAIL TO
BANACH-DIST.>>>>>>>>>>>
This is the abstract of the paper "Examples of asymptotically \ell_^1
Banach spaces" by S. Argyros and I. Deliyanni. The paper is typed in
LATeX. The paper may be downloaded from the bulletin board by ftp to
ftp.math.okstate.edu or transmitting the commands
begin
send argyrosdeliyanniasympl1.ltx
end
to: banach-files at math.okstate.edu.
Abstract:
Two examples of
asymptotic $\ell_{1}$ Banach spaces are given.
The first, $X_{u}$, has an unconditional basis and
is arbitrarily distortable. The second, $X$, does not
contain any unconditional basic sequence. Both are
spaces of the type of Tsirelson. We thus answer
a question raised by W.T.Gowers.
File length:66K
From banach-request at math.okstate.edu Fri Jul 29 10:13:33 1994
To: banach-dist at math.okstate.edu
Subject: Informal Regional Functional Analysis Seminar at Texas A&M
Date: Fri, 29 Jul 94 10:00:47 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 1823
X-Lines: 51
Status: RO
PRELIMINARY ANNOUNCEMENT OF SUMMER IRFAS
The Informal Regional Functional Analysis Seminar
will meet Saturday, August 13 and Sunday, August 14
in 317 Milner Hall at Texas A&M in College Station.
SCHEDULE: TBA. The first talk on Saturday will be at 11 a.m. and the
last
talk on Sunday will end at 5 or 6 p.m.
SPEAKERS: Alvaro Arias, University of Texas at San Antonio,
"Factorization
and relexivity in Foch spaces"
Elias Katsoulis, East Carolina University, "Geometric aspects in the
theory of
nest algebras"
James Kuelbs, University of Wisconsin, "Small ball probabilities and
metric
entropy"
Wenbo Li, University of Delaware, "Slowest points and a
characterization of
reflexivity"
Narcisse Randrianantoanina, University of Texas at Austin,
Baruch Solel, The Technion, "Hilbert modules over operator algebras"
Elisabeth Werner, Case Western Reserve University, "On the Affine
Surface
Area"
Warren Wogen, University of North Carolina, "Composition operators on
Hardy spaces of the unit ball in C^n"
HOUSING: Since this is graduation weekend at A&M, you will probably
have difficulty making reservations directly. We have reserved some
rooms at Day's Inn. You will need to go through Julie Hodges,
(hodges at math.tamu.edu, (409) 845-3261, (409) 845-6028 FaX) to get one
of these rooms. Please tell Julie whether you are requesting support,
the
type of accomodation you desire (smoking or nonsmoking), which
night(s)
you need the room, and give her a roommate preference.
We expect to be able to cover housing, possibly in a double room, for
most
participants. Preference will be given to participants who do not have
other sources of support, such as sponsored research grants.
W. Johnson, johnson at math.tamu.edu (gone Aug. 1- 11)
D. Larson, drl3533 at venus.tamu.edu
J. Zinn, jzinn at math.tamu.edu
From banach-request at math.okstate.edu Tue Aug 16 10:39:55 1994
To: banach-dist at math.okstate.edu
Subject: Abstract of a paper by N. Kalton
Date: Tue, 16 Aug 94 10:26:48 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 466
Status: RO
X-Lines: 22
<<<<<<<<<DO NOT REPLY TO THIS MESSAGE OR MAIL TO
BANACH-DIST.>>>>>>>>>>>
This is the abstract of the paper "The basic sequence problem" by N.
Kalton.
The paper is typed in AMSTeX. The paper may be downloaded
from the bulletin board by ftp to ftp.math.okstate.edu
or transmitting the commands
begin
send kaltonbscsq.atx
end
to: banach-files at math.okstate.edu.
Abstract:We construct a quasi-Banach space $X$ which contains no basic
sequence.
File length:52K
From banach-request at math.okstate.edu Wed Aug 24 11:53:45 1994
To: banach-dist at math.okstate.edu
Subject: Abstract of a paper by N. Kalton
Date: Wed, 24 Aug 94 11:42:52 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 606
Status: RO
X-Lines: 22
<<<<<<<<<DO NOT REPLY TO THIS MESSAGE OR MAIL TO
BANACH-DIST.>>>>>>>>>>>
This is the abstract of the paper "The existence of primitives for
continuous functions in a quasi-Banach space" by N. Kalton. The paper
is typed in AMSTeX. The paper may be downloaded from the bulletin board
by ftp to ftp.math.okstate.edu or transmitting the commands
begin
send kaltonprmtv.atx
end
to: banach-files at math.okstate.edu.
Abstract:We show that if $X$ is a quasi-Banach space with
trivial dual then every continuous function $f:[0,1]\to X$ has a
primitive, answering a question of M.M. Popov.
File length:10K
From banach-request at math.okstate.edu Wed Aug 24 13:35:10 1994
To: banach-dist at math.okstate.edu
Subject: Abstract of a paper by P. Casazza and N. Kalton
Date: Wed, 24 Aug 94 11:50:43 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 1208
Status: RO
X-Lines: 34
<<<<<<<<<DO NOT REPLY TO THIS MESSAGE OR MAIL TO
BANACH-DIST.>>>>>>>>>>>
This is the abstract of the paper "Unconditional bases and
unconditional finite-dimensional decompositions in Banach spaces" by
P.
Casazza and N. Kalton. The paper is typed in AMSTeX. The paper may be
downloaded from the bulletin board by ftp to ftp.math.okstate.edu or
transmitting the commands
begin
send casazzakaltonuncbas.atx
end
to: banach-files at math.okstate.edu.
Abstract:Let $X$ be a Banach space with an unconditional
finite-dimensional Schauder decomposition $(E_n)$. We consider the
general problem of characterizing conditions under which one can
construct an unconditional basis for $X$ by forming an unconditional
basis for each $E_n.$ For example, we show that if
$\sup \dim E_n<\infty$ and $X$ has Gordon-Lewis local unconditional
structure then $X$ has an unconditional basis of this type. We also
give an example of a non-Hilbertian space $X$ with the property that
whenever $Y$ is a closed subspace of $X$ with a UFDD $(E_n)$ such that
$\sup\dim E_n<\infty$ then $Y$ has an unconditional basis, showing that
a recent result of Komorowski and Tomczak-Jaegermann cannot be
improved.
File length:56K
From alspach at math.okstate.edu Fri Sep 9 14:02:20 1994
To: banach-dist at math.okstate.edu
Subject: Positions at Missouri
Date: Fri, 9 Sep 94 14:01:49 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 1109
Status: RO
X-Lines: 24
==========================================================================
INSTITUTION: University of Missouri-Columbia, Columbia, MO
DEPARTMENT: Mathematics
CONTACT PERSON: Elias Saab
E-MAIL ADDRESS: mathumc at mizzou1.missouri.edu
DESCRIPTION:
Applications are invited for up to three tenure-track positions at
Advanced Assistant Professor level
beginning in August of 1995. The positions each require a Ph.D.
in Mathematics, quality teaching, and a distinguished research career.
Selections for the position will be based primarily on demonstrated
research achievement in Commutative Algebra/Algebraic Geometry,
Mathematical Physics or Modern Analysis.
Send a curriculum vitae along with a letter of
application (include e-mail address) and arrange for three letters of
recommendation to be sent to: Elias Saab, Chair at the address above
(zip 65211). The application deadline is January 31, 1995, or until
the position is filled thereafter. Applications received after Feb
28, 1995 cannot be guaranteed consideration. AA/EEO.
(Make sure to use the AMS Application Cover Sheet provided in the EIMS)
From banach-request at math.okstate.edu Thu Sep 22 10:37:38 1994
To: banach-dist at math.okstate.edu
Subject: Advertisement for chairman of U Memphis Dept. of Math.
Date: Thu, 22 Sep 94 10:26:20 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 1660
Status: RO
X-Lines: 45
THE UNIVERSITY OF MEMPHIS
Chair, Department of Mathematical Sciences
The Department includes pure and applied mathematics,
computer science, and statistics. It offers degrees at all
levels including the Ph.D. and provides a very favorable
research environment in terms of library and computing
facilities, teaching load, travel opportunities, etc.
Applicants may be from any area of the mathematical
sciences, and should have a strong and ongoing research
record qualifying for appointment as full professor with
tenure. We seek applicants who can creatively lead a
multidisciplinary group, with evidence of strong adminis-
trative skills and a demonstrated commitment to excellence
in teaching, research, and other scholarly activities
The University of Memphis (formerly Memphis State
University) is the largest of 46 institutions in the
Tennessee Board of Regents system, the seventh largest
system of higher education in the nation. It is an Equal
Opportunity/Affirmative Action University committed to
education of a non-racially identifiable student body.
Women and minorities are strongly urged to apply.
The selection process will begin February 1, 1995 and
continue until the position is filled. The term as chair
will begin in Fall 1995. The successful candidate must be
a U.S. resident or meet Immigration Reform Act criteria.
Applicants should submit a curriculum vitae and names of
references to:
Prof. James E. Jamison
Chair-Search Committee
Department of Mathematical Sciences
The University of Memphis
Memphis, TN 38152
Jamisonj at hermes.msci.memst.edu
An Affirmative Action/Equal Opportunity Employer
From banach-request at math.okstate.edu Thu Oct 13 09:11:04 1994
To: banach-dist at math.okstate.edu
Subject: AMS IMU joint meeting
Date: Thu, 13 Oct 94 9:01:00 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 7946
X-Lines: 246
Status: RO
International Joint Mathematics Meeting
Jerusalem, Israel, May 24-26, 1995
First Announcement
The first joint meeting of the American Mathematical Society
(AMS) and the Israel Mathematical Union (IMU) will be held at
the Hebrew University of Jerusalem, Jerusalem, Israel, from
Wednesday, May 24, to Friday, May 26, 1995.
Joint Program Committee
The members of the Joint Program Committee are
Joan Birman
Miriam Cohen
Steve Gelbart
E. C. Lance
Andy Magid
M.-P. Malliavin
M. Megidor
Lance Small
Uri Srebro
Local Organizing Committee
The members of the Local Organizing Committee are
Moshe Jarden
Lior Tzafriri
Invited Addresses
By invitation of the Joint Program Committee there will be six
invited one-hour addresses.
The speakers, their affiliations, and the titles of their talks
where available are:
Susan Montgomery, University of Southern California, TBA
Shahar Mozes, Hebrew University, TBA
Oded Schramm, Weizmann Institute, TBA
Jacob Rubinstein, The Technion, TBA
John W. Neuberger, University of North Texas, TBA
Special Sessions
By invitation of the same committee and of the local
organizing committee there will be twenty-two special
sessions .
The topics of these sessions and the names and affiliations of
the organizers are as follows:
Additive Number Theory
Melvyn B. Nathanson, Lehman College, New York
Gregory Freiman, Tel Aviv University
Applied Mathematics
Zeev Schuss, Tel Aviv University
Kobi Rubinstein, Technion, Haifa
Approximation Theory
Dany Leviatan, Tel Aviv University
Ed B. Saff, Tampa, Florida
Associative algebra
Louis Rowen, Bar Ilan University, Ramat Gan
Susan Montgomery, University of Southern California, Los Angeles
Automorphic Forms
Steve Gelbart, Weizmann Institute, Rehovot
Braid groups
Joan Birman, Columbia University, New York
Mina Teicher, Bar Ilan University, Ramat Gan
Combinatorics
Noga Alon, Tel Aviv University
Richard Pollack, Courant Institute, New York
Complex Analysis
Hershel Farkas, Hebrew University, Jerusalem
Oded Schramm, Weizmann Institute, Rehovot
Irwin Kra, SUNY, Stony Brook
Ergodic Theory
Jon Aaronson, Tel Aviv University
Hillel Furstenberg, Hebrew University, Jerusalem
Field Arithmetic
Dan Haran, Tel Aviv University
Moshe Jarden, Tel Aviv University
Helmut Voelklein, University of Florida, Gainesville
Functional Analysis
Gideon Schechtman, Weizmann Institute, Rehovot
William. B. Johnson, Texas A&M University, College Station
Geometry
Josef Bernstein, Tel Aviv University
Mina Teicher, Bar Ilan University, Ramat Gan
Group Theory
Alex Lubotzky, Hebrew University, Jerusalem
Shahar Moses, Hebrew University, Jerusalem
Andy Magid, University of Oklahoma, Norton
Logic
Saharon Shelah, Hebrew University, Jerusalem
Gregory Cherlin, Rutgers University, New Brunswick
Mathematical Education
Shlomo Vinner, Hebrew University, Jerusalem
Operator Theory and applications
Israel Gohberg, Tel Aviv University
Henry Landau, Bell Labs, Murray Hill (?))
Optimization and Nonlinear Analysis
Simeon Reich, Technion, Haifa
Victor Mizel, Carnegie Mellon, Pittsburgh
Partial Differential Equations
Eitan Tadmor, Tel Aviv University
Jonathan Goodman, New York University, New York
Probability Theory
Kenneth Hochberg, Bar Ilan University, Ramat Gan
Stochastic Dynamics
Yuri Kifer, Hebrew University, Jerusalem
Dan Stroock, MIT, Boston
Theoretical Computer Sciences
Seffi Naor, Technion, Haifa
Game Theory and Mathematical Economics
Sergiu Hart, Hebrew University, Jerusalem
Robert J. Aumann, Hebrew University, Jerusalem
Abstracts for consideration for these sessions should be
submitted to the appropriate organizer
by e-mail and in the Tex typesetting system,
by December 15, 1995.
Contributed Papers
There will also be sessions for contributed ten-minute papers.
Abstract should be e-mailed in the Tex typesetting system
to AMS by January 1, 1995
Registration
The registration fees are $45 except for students and unemployed
mathematicians for which it is $15.
American participants should register by the AMS.
Non-American participants will register by the IMU.
Social Events
There will be a conference banquet on Thursday, May 25.
Exact time, place and the costs of the banquet will be published
in the next issue of the Notices.
Travel, Accommodation, and Post Conference Tour
Trans-global travel has been assigned as the official travel
agency of the conference. Trans-global offers 3 packages.
These packages are available to each registered participant and
his/her spouse.
1. Congress and Hotel Only:
The following hotels are available on a bed and full Israeli
breakfast basis per room per night:
Double Single
Holiday Inn Hotel 154 127
Renaissance Hotel 130 112
Caesar Hotel Jerusalem 84 64
Sonesta Hotel 81 66
Jerusalem Gate Hotel 79 66
New Shalom Hotel 75 58
Paradise Hotel 75 57
Renaissance, Sonesta, and