Messages from 2004
These are the messages distributed to the Banach list during 2004.
From alspach Mon Feb 2 13:52:05 2004
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Mon, 2 Feb 2004 13:52:05 -0600
Date: Mon, 2 Feb 2004 13:52:05 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200402021952.i12Jq5e28824 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by B. Klartag
Status: R
This is an announcement for the paper "An isomorphic version of the
slicing problem" by B. Klartag.
Abstract: Here we show that any n-dimensional centrally symmetric convex
body K has an n-dimensional perturbation T which is convex and centrally
symmetric, such that the isotropic constant of T is universally bounded. T
is close to K in the sense that the Banach-Mazur distance between T
and K is O(log n). If K has a non-trivial type then the distance is
universally bounded. In addition, if K is quasi-convex then there exists
a quasi-convex T with a universally bounded isotropic constant and with
a universally bounded distance to K.
Archive classification: Metric Geometry; Functional Analysis
Remarks: 19 pages
The source file(s), mixed_MM_star.tex: 44341 bytes, is(are) stored in
gzipped form as 0312475.gz with size 13kb. The corresponding postcript
file has gzipped size 72kb.
Submitted from: klartagb at post.tau.ac.il
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.MG/0312475
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From alspach Mon Feb 2 13:54:21 2004
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Mon, 2 Feb 2004 13:54:21 -0600
Date: Mon, 2 Feb 2004 13:54:21 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200402021954.i12JsL828914 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Omran Kouba
Status: R
This is an announcement for the paper "$H^1$-projective Banach spaces"
by Omran Kouba.
Abstract: We study the $H^1$-projective Banach spaces. We prove that
they have the Analytic Radon-Nikodym Property, and that they are cotype
2 spaces which satisfy Grothendieck's Theorem. We show also that the
ultraproduct of $H^1$-projective spaces is $H^1$-projective. Other
results are also discussed.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46M05;46M10;46B08
Citation: Quart. J. Math. Oxford (2), 41(1990), 295-312
Remarks: 17 pages
The source file(s), ART2.Tex: 65188 bytes, is(are) stored in gzipped
form as 0401336.gz with size 21kb. The corresponding postcript file has
gzipped size 83kb.
Submitted from: omran_kouba at hiast.edu.sy
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0401336
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http://arXiv.org/abs/math.FA/0401336
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From alspach Mon Feb 2 13:55:52 2004
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Mon, 2 Feb 2004 13:55:52 -0600
Date: Mon, 2 Feb 2004 13:55:52 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200402021955.i12JtqE28981 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Omran Kouba
Status: R
This is an announcement for the paper "L'Application canonique $J:H^2(X)
\otimes H^2(X)->H^1(X\otimes X)$ n'est pas surjective en g\'en\'eral"
by Omran Kouba.
Abstract: We introduce the $H^1$-projective property, and use it to
construct a Banach space $X$ such that the natural map
$J:H^2(X)\otimes H^2(X) -> H^1(X\otimes X)$ is not onto.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46M05;47A56;47A68
Citation: C.R. Acad. Sci. Paris t.307, Serie I, (1988), 949-953
Remarks: 9 pages, French with abridged english version
The source file(s), ART1.Tex: 27483 bytes, is(are) stored in gzipped
form as 0401335.gz with size 9kb. The corresponding postcript file has
gzipped size 45kb.
Submitted from: omran_kouba at hiast.edu.sy
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0401335
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From alspach Mon Feb 2 13:57:02 2004
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Mon, 2 Feb 2004 13:57:02 -0600
Date: Mon, 2 Feb 2004 13:57:02 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200402021957.i12Jv2Y29031 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Omran Kouba
Status: R
This is an announcement for the paper "On the interpolation of injective
or projective tensor products of Banach spaces" by Omran Kouba.
Abstract: We prove a general result on the factorization of matrix-valued
analytic functions. We deduce that if $(E_0,E_1)$ and $(F_0,F_1)$ are
interpolation pairs with dense intersections, then under some conditions
on the spaces $E_0$, $E_1$, $F_0$ and $F_1$, we have $$ [E_0\hat\otimes
F_0,E_1\hat\otimes F_1]_t= [E_0 ,E_1]_t\hat\otimes[F_0 ,F_1]_t, 0 <
t< 1.$$
We find also conditions on the spaces $E_0$, $E_1$, $F_0$ and $F_1$,
so that
the following holds $$ [E_0\wcheck\otimes F_0,E_1\wcheck\otimes F_1]_t=
[E_0,E_1]_t\wcheck\otimes [F_0,F_1]_t, 0 <t< 1.$$
Some applications of these results are also considered.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B70;47A56;47A68;46M05;46B07
Citation: J. Funct. Anal. 96 (1991), 38-61
Remarks: 26 pages
The source file(s), ART3.Tex: 75244 bytes, is(are) stored in gzipped
form as 0401337.gz with size 22kb. The corresponding postcript file has
gzipped size 93kb.
Submitted from: omran_kouba at hiast.edu.sy
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0401337
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http://arXiv.org/abs/math.FA/0401337
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From alspach Mon Feb 2 14:00:37 2004
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Mon, 2 Feb 2004 14:00:37 -0600
Date: Mon, 2 Feb 2004 14:00:37 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200402022000.i12K0bQ29110 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by E.Ournycheva and B.Rubin
Status: R
This is an announcement for the paper "An analogue of the Fuglede formula
in integral geometry on matrix spaces" by E.Ournycheva and B.Rubin.
Abstract: The well known formula of B. Fuglede expresses the mean value
of the Radon k-plane transform on $R^n$ as a Riesz potential. We extend
this formula to the space of $n \times m$ real matrices and show that
the corresponding matrix k-plane transform $f \to \hat f$ is injective
if and only if
$n-k \ge m$. Different inversion formulas for this transform are
obtained. We
assume that $f \in L^p$ or $f$ is a continuous function satisfying certain
"minimal" conditions at infinity.
Archive classification: Functional Analysis
Mathematics Subject Classification: Primary 44A12; Secondary 47G10
Remarks: AMS LaTeX, 20 pages
The source file(s), Fug8.tex: 50342 bytes, is(are) stored in gzipped
form as 0401127.gz with size 18kb. The corresponding postcript file has
gzipped size 82kb.
Submitted from: ournyce at math.huji.ac.il
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0401127
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From alspach Wed Feb 11 09:41:01 2004
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Wed, 11 Feb 2004 09:41:01 -0600
Date: Wed, 11 Feb 2004 09:41:01 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200402111541.i1BFf1w04404 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Joram Lindenstrauss and David Preiss
Status: R
This is an announcement for the paper "On Fr\'echet differentiability
of Lipschitz maps between Banach spaces" by Joram Lindenstrauss and
David Preiss.
Abstract: A well-known open question is whether every countable collection
of Lipschitz functions on a Banach space X with separable dual has a
common point of Frechet differentiability. We show that the answer is
positive for some infinite-dimensional X. Previously, even for collections
consisting of two functions this has been known for finite-dimensional X
only (although for one function the answer is known to be affirmative
in full generality). Our aims are achieved by introducing a new
class of null sets in Banach spaces (called $\Gamma$-null sets),
whose definition involves both the notions of category and measure,
and showing that the required differentiability holds almost everywhere
with respect to it. We even obtain existence of Fr\'echet derivatives
of Lipschitz functions between certain infinite-dimensional Banach
spaces;no such results have been known previously. Our main result
states that a Lipschitz map between separable Banach spaces is Fr\'echet
differentiable $\Gamma$-almost everywhere provided that it is regularly
Gateaux differentiable $\Gamma$-almost everywhere and the Gateaux
derivatives stay within a norm separable space of operators. It is
easy to see that Lipschitz maps of X to spaces with the Radon-Nikodym
property are Gateaux differentiable $\Gamma$-almost everywhere. Moreover,
Gateaux differentiability implies regular Gateaux differentiability with
exception of another kind of negligible sets, so-called $\sigma$-porous
sets. The answer to the question is therefore positive in every space
in which every $\sigma$-porous set is $\Gamma$-null. We show that this
holds for $C(K)$ with $K$ countable compact, the Tsirelson space and
for all subspaces of $c_0$, but that it fails for Hilbert spaces.
Archive classification: Functional Analysis
Citation: Ann. of Math. (2), Vol. 157 (2003), no. 1, 257--288
Remarks: 32 pages, published version
The source file(s), amlts.sty: 33990 bytes, lindenstrauss.tex: 89631
bytes, is(are) stored in gzipped form as 0402160.tar.gz with size
36kb. The corresponding postcript file has gzipped size 100kb.
Submitted from: dp at math.ucl.ac.uk
The paper may be downloaded from the archive by web browser from URL
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From alspach
Date: Wed, 11 Feb 2004 11:43:20 -0600
From: Dale Alspach <alspach at math.okstate.edu>
To: banach at mail.math.okstate.edu
cc: hojtylli at cc.helsinki.fi
Subject: [Banach] Functional Analysis Workshop in Finland
FUNCTIONAL ANALYSIS WORKSHOP
JOENSUU, FINLAND
June 20.-24., 2004
The workshop is a satellite conference of the 4th European Congress of Mathemat
ics
(4ecm) in Stockholm. The topics of this workshop include Banach spaces and oper
ator
theory, Frechet and related spaces, and applications to analytic function space
s.
There will be 13 invited plenary lectures and, in addition, shorter talks by
the participants. Main plenary lectures will be given by:
Klaus Bierstedt (Paderborn)
Jose Bonet (Valencia)
Alexander Borichev (Bordeaux)
Gilles Godefroy (Paris)
Chen Huaihui (Nanjing)
Serguei Kislyakov (St. Petersburg)
Reinhold Meise (Dusseldorf)
Artur Nicolau (Barcelona)
Edward Odell (Austin)
David Preiss (London)
Eero Saksman (Jyvaskyla)
Joel Shapiro (East Lansing)
Dietmar Vogt (Wuppertal)
Scientific committee: Jari Taskinen (Joensuu, chair), Rauno Aulaskari (Joensuu)
,
Mikael Lindstr\"om (Abo), Hans-Olav Tylli (Helsinki).
Joensuu is a pleasant mid-size town in eastern Finland, which is conveniently
accessible from Helsinki by frequent trains or flights. The scientific programm
e
of the workshop will commence on the morning of June 21.
More information about the workshop (registration, programme, accommodation,
contact addresses, location) can be found on the www-page
http://www.joensuu.fi/mathematics/workshop2004
_______________________________________________
Banach mailing list
Banach at math.okstate.edu
http://mail.math.okstate.edu:8080/mailman/listinfo/banach
From alspach Thu Feb 12 09:12:22 2004
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Thu, 12 Feb 2004 09:12:22 -0600
Date: Thu, 12 Feb 2004 09:12:22 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200402121512.i1CFCMJ11656 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Marius Junge, Zhong-Jin Ruan and David Sherman
Status: R
This is an announcement for the paper "A classification for 2-isometries
of noncommutative Lp-spaces" by Marius Junge, Zhong-Jin Ruan and David
Sherman.
Abstract: In this paper we extend previous results of Banach, Lamperti
and Yeadon on isometries of Lp-spaces to the non-tracial case first
introduced by Haagerup. Specifically, we use operator space techniques
and an extrapolation argument to prove that every 2-isometry T : Lp(M)
to Lp(N) between arbitrary noncommutative Lp-spaces can always be written
in the form T(phi^{1/p}) = w (phi circ pi^{-1} circ E)^{1/p}, for phi
in M_*^+. Here pi is a normal *-isomorphism from M onto the von Neumann
subalgebra pi(M) of N, w is a partial isometry in N, and E is a normal
conditional expectation from N onto pi(M). As a consequence of this,
any 2-isometry is automatically a complete isometry and has completely
contractively complemented range.
Archive classification: Operator Algebras
Remarks: 25 pages
The source file(s), 2isom.tex: 88005 bytes, is(are) stored in gzipped
form as 0402181.gz with size 26kb. The corresponding postcript file has
gzipped size 111kb.
Submitted from: dasherma at ux1.cso.uiuc.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.OA/0402181
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From alspach Fri Feb 13 08:15:17 2004
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Fri, 13 Feb 2004 08:15:17 -0600
Date: Fri, 13 Feb 2004 08:15:17 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200402131415.i1DEFH718695 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by I. Gasparis, E. Odell, and B. Wahl
Status: R
This is an announcement for the paper "Weakly null sequences in the
Banach space C(K)" by I. Gasparis, E. Odell, and B. Wahl.
Abstract: The hierarchy of the block bases of transfinite normalized
averages of a normalized Schauder basic sequence is introduced and a
criterion is given for a normalized weakly null sequence in C(K), the
Banach space of scalar valued functions continuous on the compact metric
space K, to admit a block basis of normalized averages equivalent to the
unit vector basis of c_0, the Banach space of null scalar sequences. As
an application of this criterion, it is shown that every normalized
weakly null sequence in C(K), for countable K, admits a block basis of
normalized averages equivalent to the unit vector basis of c_0.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B03
Remarks: 36 pages
The source file(s), gow5.tex: 137843 bytes, is(are) stored in gzipped
form as 0402202.gz with size 33kb. The corresponding postcript file has
gzipped size 147kb.
Submitted from: combs at mail.ma.utexas.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0402202
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From alspach Wed Feb 18 08:09:09 2004
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Wed, 18 Feb 2004 08:09:09 -0600
Date: Wed, 18 Feb 2004 08:09:09 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200402181409.i1IE99v31667 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Jaroslaw Wawrzycki
Status: R
This is an announcement for the paper "A generalization of the
Markov-Kakutani fixed point theorem" by Jaroslaw Wawrzycki.
Abstract: In this announcement we generalize the Markov-Kakutani fixed
point theorem for abelian semi-groups of affine transformations extending
it on some class of non-commutative semi-groups. As an interesting example
we apply it obtaining a generalization of the invariant version of the
Hahn-Banach theorem.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46A22, 46A55
Remarks: 5 pages, Latex preparation
The source file(s), kakutani.tex: 11176 bytes, is(are) stored in gzipped
form as 0402255.gz with size 4kb. The corresponding postcript file has
gzipped size 32kb.
Submitted from: Jaroslaw.Wawrzycki at ifj.edu.pl
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0402255
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From alspach Fri Feb 20 13:02:24 2004
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Fri, 20 Feb 2004 13:02:23 -0600
Date: Fri, 20 Feb 2004 13:02:23 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200402201902.i1KJ2NH15034 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Javier Parcet and Gilles Pisier
Status: R
This is an announcement for the paper "Non-commutative Khintchine type
inequalities associated with free groups" by Javier Parcet and Gilles
Pisier.
Abstract: Let Fn denote the free group with n generators g1,g2,..,gn. Let
$\lambda$ stand for the left regular representation of Fn and let $\tau$
be the standard trace associated to $\lambda$. Given any positive integer
d, we study the operator space structure of the subspace Wp(n,d) of
Lp(\tau) generated by the family of operators $\lambda(g_{i_1}g_{i_2}
... g_{i_d})$ with $1 \le i_k \le n$. Moreover, our description of this
operator space holds up to a constant which does not depend on n or p,
so that our result remains valid for infinitely many generators. We
also consider the subspace of L_p(\tau) generated by the image under
$\lambda$ of the set of reduced words of length d. Our result extends
to any exponent $1 \le p \le \infty$ a previous result of Buchholz for
the space $W_{\infty}(n,d)$.
Archive classification: Operator Algebras; Functional Analysis
Mathematics Subject Classification: 46L52; 46L53
Remarks: 19 pages
The source file(s), Free.tex: 71069 bytes, is(are) stored in gzipped
form as 0312300.gz with size 17kb. The corresponding postcript file has
gzipped size 94kb.
Submitted from: javier.parcet at uam.es
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.OA/0312300
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From alspach Tue Mar 9 06:34:59 2004
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Tue, 9 Mar 2004 06:34:59 -0600
Date: Tue, 9 Mar 2004 06:34:59 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200403091234.i29CYx115472 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Marius Junge and Javier Parcet
Status: R
This is an announcement for the paper "The norm of sums of independent
non-commutative random variables in $L_p(\ell_1)$" by Marius Junge
and Javier Parcet.
Abstract: We investigate the norm of sums of independent vector-valued
random variables in non-commutative Lp spaces. This allows us to obtain
a uniform family of complete embeddings of the Schatten class Sq^n
in Sp(lq^m) with optimal order m=n^2. Using these embeddings we show
the surprising fact that the sharp type (cotype) index in the sense of
operator spaces for Lp[0,1] is min(p,p') (max(p,p')). Similar techniques
are used to show that the operator space notions of B-convexity and
K-convexity are equivalent.
Archive classification: Functional Analysis; Operator Algebras
Mathematics Subject Classification: 46L07; 46L52; 46L53
Remarks: 30 pages
The source file(s), Lp1.tex: 107978 bytes, is(are) stored in gzipped
form as 0403103.gz with size 29kb. The corresponding postcript file has
gzipped size 133kb.
Submitted from: javier.parcet at uam.es
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0403103
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From alspach Tue Mar 16 11:55:51 2004
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Tue, 16 Mar 2004 11:55:51 -0600
Date: Tue, 16 Mar 2004 11:55:51 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200403161755.i2GHtpI08773 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Gilles Pisier
Status: R
This is an announcement for the paper "Completely bounded maps into
certain Hilbertian operator spaces" by Gilles Pisier.
Abstract: We prove a factorization of completely bounded maps from
a $C^*$-algebra $A$ (or an exact operator space $E\subset A$) to
$\ell_2$ equipped with the operator space structure of $(C,R)_\theta$
($0<\theta<1$) obtained by complex interpolation between the column and
row Hilbert spaces. More precisely, if $F$ denotes $\ell_2$ equipped with
the operator space structure of $(C,R)_\theta$, then $u:\ A \to F$ is
completely bounded iff there are states $f,g$ on $A$ and $C>0$ such that
\[ \forall a\in A\quad \|ua\|^2\le C f(a^*a)^{1-\theta}g(aa^*)^{\theta}.\]
This extends the case $\theta=1/2$ treated in a recent paper with
Shlyakhtenko. The constants we obtain tend to 1 when $\theta \to 0$
or $\theta\to 1$. We use analogues of ``free Gaussian" families in non
semifinite von Neumann algebras. As an application, we obtain that, if
$0<\theta<1$, $(C,R)_\theta$ does not embed completely isomorphically into
the predual of a semifinite von Neumann algebra. Moreover, we characterize
the subspaces $S\subset R\oplus C$ such that the dual operator space $S^*$
embeds (completely isomorphically) into $M_*$ for some semifinite von
neumann algebra $M$: the only possibilities are $S=R$, $S=C$, $S=R\cap C$
and direct sums built out of these three spaces. We also discuss when
$S\subset R\oplus C$ is injective, and give a simpler proof of a result
due to Oikhberg on this question. In the appendix, we present a proof
of Junge's theorem that $OH$ embeds completely isomorphically into
a non-commutative $L_1$-space. The main idea is similar to Junge's,
but we base the argument on complex interpolation and Shlyakhtenko's
generalized circular systems (or ``generalized free Gaussian"), which
somewhat unifies Junge's ideas with those of our work with Shlyakhtenko.
Archive classification: Operator Algebras; Functional Analysis
Mathematics Subject Classification: 46L07, 46L54, 47L25, 47L50
The source file(s), oh3.suite.09.mars.04.tex: 79910 bytes, is(are)
stored in gzipped form as 0403220.gz with size 26kb. The corresponding
postcript file has gzipped size 109kb.
Submitted from: gip at ccr.jussieu.fr
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http://front.math.ucdavis.edu/math.OA/0403220
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From alspach Mon Mar 22 13:32:26 2004
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Date: Mon, 22 Mar 2004 13:32:26 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200403221932.i2MJWQf27375 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Roman Vershynin
Status: R
This is an announcement for the paper "Integer cells in convex sets"
by Roman Vershynin.
Abstract: Every convex body K in R^n admits a coordinate projection PK
that contains at least vol(0.1 K) cells of the integer lattice PZ^n,
provided this volume is at least one. Our proof of this counterpart
of Minkowski's theorem is based on an extension of the combinatorial
density theorem of Sauer, Shelah and Vapnik-Chervonenkis to Z^n. This
leads to a new approach to sections of convex bodies.In particular,
fundamental results of the asymptotic convex geometry such as the Volume
Ratio Theorem and Milman's duality of the diameters admit natural versions
for coordinate sections.
Archive classification: Functional Analysis; Combinatorics
Mathematics Subject Classification: 52C07, 46B07, 05D05
Remarks: 26 pages
The source file(s), vr.tex: 57558 bytes, is(are) stored in gzipped form as
0403278.gz with size 18kb. The corresponding postcript file has gzipped
size 89kb.
Submitted from: vershynin at math.ucdavis.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0403278
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Date: Wed, 24 Mar 2004 09:35:05 -0600 (CST)
From: Bill Johnson <johnson at math.tamu.edu>
To: banach at math.okstate.edu
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Subject: [Banach] Workshop at A&M
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Status: R
Workshop in Linear Analysis and Probability
Department of Mathematics
Texas A&M University
Summer 2004
The Summer 2004 session of the Workshop in Linear Analysis and
Probability at Texas A&M University will be in session from July 19
until August 14. SUMIRFAS will be held August 6-8. For information
about the Workshop, consult the Workshop Home Page, URL
http://www.math.tamu.edu/research/workshops/linanalysis/
Ken Dykemma and Gilles Pisier are organizing a Concentration Week on Free
Probability
Theory and Noncommutative L_p Spaces that will take place August 2-6.
The Workshop is supported in part by grants from the National
Science Foundation. Limited support for local expenses is available.
For logistical help, including requests for support, please contact
Cheryl Dorn (cherylr at math.tamu.edu). For more information on
the Workshop itself, please contact William Johnson
(johnson at math.tamu.edu), David Larson (larson at math.tamu.edu),
Gilles Pisier (pisier at math.tamu.edu), or Joel Zinn
(jzinn at math.tamu.edu). For information about the Concentration Week,
please contact Ken Dykema (kdykema at math.tamu.edu) or Gilles Pisier
(pisier at math.tamu.edu).
_______________________________________________
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Date: Mon, 29 Mar 2004 10:08:24 -0600
From: Dale Alspach <alspach at math.okstate.edu>
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Subject: [Banach] Informal Analysis Seminar at Kent State
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Status: R
Despite numerous requests, we are proud to announce the next
INFORMAL ANALYSIS SEMINAR
KENT STATE UNIVERSITY
SATURDAY, APRIL 10, 2004
Speakers:
Sergei Treil, Brown University
Structured norms, robust control and singular integral
operators,
Alex Solynin, University of Arkansas,
Overdetermined boundary-value problems, quadrature
identities, and applications,
Igor Pritsker, Oklahoma State University
Norms of products of polynomials and a distance function,
As usual, the proceedings will commence at noon in the Mathematics
Building with a truly gourmet luncheon. We can help arrange
accommodation, etc. All are welcome.
V. Andriyevskyy, R. Aron, J. Diestel, P. Enflo, V. Gurariy, V. Lomonosov, A. Tonge
_______________________________________________
Banach mailing list
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From alspach Fri Apr 2 08:10:13 2004
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Fri, 2 Apr 2004 08:10:13 -0600
Date: Fri, 2 Apr 2004 08:10:13 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200404021410.i32EADS16605 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Vassiliki Farmaki
Status: R
This is an announcement for the paper "Ramsey and Nash-Williams
combinatorics via Schreier families" by Vassiliki Farmaki.
Abstract: The main results of this paper (a) extend the finite Ramsey
partition theorem, and (b) employ this extension to obtain a stronger
form of the infinite Nash-Williams partition theorem, and also a new
proof of Ellentuck's, and hence Galvin-Prikry's partition theorem. The
proper tool for this unification of the classical partition theorems at
a more general and stronger level is the system of Schreier families
$({\cal A}_{\xi})$ of finite subsets of the set of natural numbers,
defined for every countable ordinal $\xi$.
Archive classification: Functional Analysis
Mathematics Subject Classification: Primary 05D10; Secondary 05C55
Remarks: 28 pages, preliminary version
The source file(s), Ramseytheorem.tex: 91989 bytes, is(are) stored in
gzipped form as 0404014.gz with size 22kb. The corresponding postcript
file has gzipped size 83kb.
Submitted from: combs at mail.ma.utexas.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0404014
or
http://arXiv.org/abs/math.FA/0404014
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From alspach Thu Apr 8 13:00:38 2004
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Thu, 8 Apr 2004 13:00:38 -0500
Date: Thu, 8 Apr 2004 13:00:38 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200404081800.i38I0cB08305 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Takashi Itoh and Masaru Nagisa
Status: R
This is an announcement for the paper "The numerical radius Haagerup
norm and Hilbert space square factorizations" by Takashi Itoh and
Masaru Nagisa.
Abstract: We study a factorization of bounded linear maps from an operator
space $A$ to its dual space $A^*$. It is shown that $T : A \longrightarrow
A^*$ factors through a pair of a column Hilbert spaces $\mathcal{H}_c$
and its dual space if and only if $T$ is a bounded linear form on $A
\otimes A$ by the canonical identification equipped with a numerical
radius type Haagerup norm. As a consequence, we characterize a bounded
linear map from a Banach space to its dual space, which factors through
a pair of Hilbert spaces.
Archive classification: Operator Algebras
Mathematics Subject Classification: 46L07 (Primary) 47L25, 46B28, 46L06
(Secontary)
Remarks: 16 pages
The source file(s), ina03.tex: 44003 bytes, is(are) stored in gzipped
form as 0404152.gz with size 12kb. The corresponding postcript file has
gzipped size 70kb.
Submitted from: itoh at edu.gunma-u.ac.jp
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.OA/0404152
or
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From alspach Mon Apr 12 08:13:48 2004
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Mon, 12 Apr 2004 08:13:47 -0500
Date: Mon, 12 Apr 2004 08:13:47 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200404121313.i3CDDlp16344 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Mark Rudelson and Roman Vershynin
Status: R
This is an announcement for the paper "Random processes via the
combinatorial dimension: introductory notes" by Mark Rudelson and Roman
Vershynin.
Abstract: This is an informal discussion on one of the basic problems
in the theory of empirical processes, addressed in our preprint
"Combinatorics of random processes and sections of convex bodies",
which is available at ArXiV and from our web pages.
Archive classification: Functional Analysis; Probability Theory
Mathematics Subject Classification: 46B09, 60G15, 68Q15
Remarks: 4 pages
The source file(s), rv-processes-description.tex: 12005 bytes, is(are)
stored in gzipped form as 0404193.gz with size 5kb. The corresponding
postcript file has gzipped size 30kb.
Submitted from: vershynin at math.ucdavis.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0404193
or
http://arXiv.org/abs/math.FA/0404193
or by email in unzipped form by transmitting an empty message with
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From alspach Mon Apr 12 08:14:34 2004
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Mon, 12 Apr 2004 08:14:34 -0500
Date: Mon, 12 Apr 2004 08:14:34 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200404121314.i3CDEYU16393 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Mark Rudelson and Roman Vershynin
Status: R
This is an announcement for the paper "Combinatorics of random processes
and sections of convex bodies" by Mark Rudelson and Roman Vershynin.
Abstract: We find a sharp combinatorial bound for the metric entropy
of sets in R^n and general classes of functions. This solves two basic
combinatorial conjectures on the empirical processes.
1. A class of functions satisfies the uniform Central Limit Theorem
if the
square root of its combinatorial dimension is integrable.
2. The uniform entropy is equivalent to the combinatorial dimension
under
minimal regularity. Our method also constructs a nicely bounded coordinate
section of a symmetric convex body in R^n. In the operator theory, this
essentially proves for all normed spaces the restricted invertibility
principle of Bourgain and Tzafriri.
Archive classification: Functional Analysis; Probability Theory
Mathematics Subject Classification: 46B09, 60G15, 68Q15
Remarks: 49 pages
The source file(s), rv-processes.tex: 122610 bytes, is(are) stored in
gzipped form as 0404192.gz with size 38kb. The corresponding postcript
file has gzipped size 150kb.
Submitted from: vershynin at math.ucdavis.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0404192
or
http://arXiv.org/abs/math.FA/0404192
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From alspach Sat Apr 17 08:07:22 2004
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Sat, 17 Apr 2004 08:07:22 -0500
Date: Sat, 17 Apr 2004 08:07:22 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200404171307.i3HD7Mu20921 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Cleon S. Barroso
Status: R
This is an announcement for the paper "The fixed point property for a
class of nonexpansive maps in L\sp\infty(\Omega,\Sigma,\mu)" by Cleon
S. Barroso.
Abstract: For a finite and positive measure space $(\Omega,\Sigma,\mu)$
and any weakly compact convex subset of $L\sp\infty(\Omega,\Sigma,mu)$,
a fixed point theorem for a class of nonexpansive self-mappings is
proved. An analogous result is obtained for the space $C(\Omega)$. An
illustrative example is given.
Archive classification: Functional Analysis
Mathematics Subject Classification: 47H10
Remarks: 4 pages
The source file(s), Cleonfp.tex: 11461 bytes, is(are) stored in gzipped
form as 0404235.gz with size 4kb. The corresponding postcript file has
gzipped size 32kb.
Submitted from: cleonbar at mat.ufc.br
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0404235
or
http://arXiv.org/abs/math.FA/0404235
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From alspach Tue Apr 20 07:12:08 2004
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Tue, 20 Apr 2004 07:12:08 -0500
Date: Tue, 20 Apr 2004 07:12:08 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200404201212.i3KCC8K18385 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by A. Brudnyi and Yu. Brudnyi
Status: R
This is an announcement for the paper "Metric spaces with linear
extensions preserving Lipschitz condition" by A. Brudnyi and Yu. Brudnyi.
Abstract: We study a new bi-Lipschitz invariant \lambda(M) of a metric
space M; its finiteness means that Lipschitz functions on an arbitrary
subset of M can be linearly extended to functions on M whose Lipschitz
constants are enlarged by a factor controlled by \lambda(M). We prove
that \lambda(M) is finite for several important classes of metric
spaces. These include metric trees of arbitrary cardinality, groups
of polynomial growth, some groups of exponential growth and certain
classes of Riemannian manifolds of bounded geometry. On the other hand
we construct an example of a Riemann surface M of bounded geometry for
which \lambda(M)=\infty.
Archive classification: Metric Geometry; Functional Analysis
Mathematics Subject Classification: 26B35; 54E35; 46B15
Remarks: 71 pages
The source file(s), lip.tex: 181271 bytes, is(are) stored in gzipped
form as 0404304.gz with size 53kb. The corresponding postcript file has
gzipped size 191kb.
Submitted from: albru at math.ucalgary.ca
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.MG/0404304
or
http://arXiv.org/abs/math.MG/0404304
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From alspach Fri Apr 23 10:08:57 2004
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Fri, 23 Apr 2004 10:08:57 -0500
Date: Fri, 23 Apr 2004 10:08:57 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200404231508.i3NF8vf08460 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Piotr W. Nowak
Status: R
This is an announcement for the paper "Coarse embeddings of metric spaces
into Hilbert spaces" by Piotr W. Nowak.
Abstract: There are several characterizations of coarse embeddability
of a discrete metric space into a Hilbert space. In this note we give
such characterizations for general metric spaces. By applying these
results to the spaces $L_p(\mu)$, we get their coarse embeddability into
a Hilbert space for $0<p<2$. This together with a theorem by Banach and
Mazur yields that coarse embeddability into $\ell_2$ and into $L_p(0,1)$
are equivalent when $1 \le p<2$. A theorem by G.Yu and the above allow
to extend to $L_p(\mu)$, $0<p<2$, the range of spaces, coarse embedding
into which guarantees for a finitely generated group $\Gamma$ %(viewed
as a metric space) to satisfy the Novikov Conjecture.
Archive classification: Metric Geometry; Functional Analysis
Mathematics Subject Classification: 46C05; 46T99
Remarks: 8 pages
The source file(s), CoarseembeddingsintoBanachspaces.tex: 25381 bytes,
is(are) stored in gzipped form as 0404401.gz with size 8kb. The
corresponding postcript file has gzipped size 47kb.
Submitted from: pnowak at math.tulane.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.MG/0404401
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Fri, 23 Apr 2004 10:14:18 -0500
Date: Fri, 23 Apr 2004 10:14:18 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200404231514.i3NFEIA08526 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by T. Suzuki
Status: R
This is an announcement for the paper "Common fixed points of commutative
semigroups of nonexpansive mappings" by T. Suzuki.
Abstract: In this paper, we discuss characterizations of common fixed
points of commutative semigroups of nonexpansive mappings. We next
prove convergence theorems to a common fixed point. We finally discuss
nonexpansive retractions onto the set of common fixed points. In our
discussion, we may not assume the strict convexity of the Banach space.
Archive classification: Functional Analysis
Mathematics Subject Classification: 47H20
Remarks: 18 pages
The source file(s), suzuki2.tex: 57526 bytes, is(are) stored in gzipped
form as 0404428.gz with size 13kb. The corresponding postcript file has
gzipped size 77kb.
Submitted from: suzuki-t at mns.kyutech.ac.jp
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0404428
or
http://arXiv.org/abs/math.FA/0404428
or by email in unzipped form by transmitting an empty message with
subject line
uget 0404428
or in gzipped form by using subject line
get 0404428
to: math at arXiv.org.
From alspach Fri Apr 23 10:15:42 2004
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Fri, 23 Apr 2004 10:15:42 -0500
Date: Fri, 23 Apr 2004 10:15:42 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200404231515.i3NFFgV08592 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Piotr W. Nowak
Status: R
This is an announcement for the paper "Group actions on Banach spaces
and a geometric characterization of a-T-menability" by Piotr W. Nowak.
Abstract: We prove a geometric characterization of a-T-menability
through proper, affine, isometric actions on subspaces of $L_p[0,1]$
for $1<p<2$. This answers a question of A.~Valette.
Archive classification: Metric Geometry; Functional Analysis
Remarks: 4 pages
The source file(s), a-T-menable-2.tex: 13180 bytes, is(are) stored in
gzipped form as 0404402.gz with size 5kb. The corresponding postcript
file has gzipped size 33kb.
Submitted from: pnowak at math.tulane.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.MG/0404402
or
http://arXiv.org/abs/math.MG/0404402
or by email in unzipped form by transmitting an empty message with
subject line
uget 0404402
or in gzipped form by using subject line
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to: math at arXiv.org.
From alspach Thu Apr 29 09:53:56 2004
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Thu, 29 Apr 2004 09:53:56 -0500
Date: Thu, 29 Apr 2004 09:53:56 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200404291453.i3TEru406094 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Roman Vershynin
Status: R
This is an announcement for the paper "Isoperimetry of waists and local
versus global asymptotic convex geometries" by Roman Vershynin.
Abstract: Existence of nicely bounded sections of two symmetric convex
bodies K and L implies that the intersection of random rotations of K
and L is nicely bounded. For L = subspace, this main result immediately
yields the unexpected phenomenon: "If K has one nicely bounded section,
then most sections of K are nicely bounded". This 'existence implies
randomness' consequence was proved independently in [Giannopoulos,
Milman and Tsolomitis]. The main result represents a new connection
between thelocal asymptotic convex geometry (study of sections of K) and
the global asymptotic convex geometry (study K as a whole). The method
relies on the new 'isoperimetry of waists' on the sphere due to Gromov.
Archive classification: Functional Analysis
Mathematics Subject Classification: 52A20,46B07
The source file(s), localglobal.tex: 28490 bytes, is(are) stored in
gzipped form as 0404500.gz with size 9kb. The corresponding postcript
file has gzipped size 52kb.
Submitted from: vershynin at math.ucdavis.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0404500
or
http://arXiv.org/abs/math.FA/0404500
or by email in unzipped form by transmitting an empty message with
subject line
uget 0404500
or in gzipped form by using subject line
get 0404500
to: math at arXiv.org.
From alspach Thu Apr 29 09:55:08 2004
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Thu, 29 Apr 2004 09:55:08 -0500
Date: Thu, 29 Apr 2004 09:55:08 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200404291455.i3TEt8806160 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Mark Rudelson and Roman Vershynin
Status: R
This is an announcement for the paper "On random intersections of two
convex bodies. Appendix to: "Isoperimetry of waists and local versus
global asymptotic convex geometries" by R.Vershynin" by Mark Rudelson
and Roman Vershynin.
Abstract: In the paper "Isoperimetry of waists and local versus global
asymptotic convex geometries", it was proved that the existence of
nicely bounded sections of two symmetric convex bodies K and L implies
that the intersection of randomly rotated K and L is nicely bounded. In
this appendix, we achieve a polynomial bound on the diameter of that
intersection (in the ratio of the dimensions of the sections).
Archive classification: Functional Analysis
Mathematics Subject Classification: 52A20, 46B07
The source file(s), localglobal-appendix.tex: 8336 bytes, is(are) stored
in gzipped form as 0404502.gz with size 3kb. The corresponding postcript
file has gzipped size 24kb.
Submitted from: vershynin at math.ucdavis.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0404502
or
http://arXiv.org/abs/math.FA/0404502
or by email in unzipped form by transmitting an empty message with
subject line
uget 0404502
or in gzipped form by using subject line
get 0404502
to: math at arXiv.org.
From banach-bounces at math.okstate.edu Wed Apr 28 08:23:52 2004
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Date: Wed, 28 Apr 2004 08:16:34 -0500
From: Dale Alspach <alspach at math.okstate.edu>
Subject: [Banach] Conference in Granada
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Status: R
Next September, from the 20th to the 24th, the SECOND INTERNATIONAL
COURSE OF MATHEMATICAL ANALISIS IN ANDALUCIA will be held in Granada
(Spain). These courses are held every two years in an Andalusian
city, with the first being in Cádiz, in September 2002. Our aim
is to give an extensive overview of new directions and advances in
Mathematical Analysis. Therefore the researcher is invited to get into
topics seen promising as guidelines for current and future research
in this interesting area of Mathematics. Leading researchers in the
area will provide us with a large variety of topics and open problems,
showing also some tools and techniques that have been helpful in similar
situations. In order to accomplish this goal, both seminars and one-hour
talks will be offered. While the one-hour talk are intended to provide
an overview on a variety of current topics, the seminars will extend
over several days and will therefore allow an in-depth discussion of
certain specific subjects. Moreover, all participants of the meeting
will have the opportunity to present new results of their research in
short communications.
The invited speakers of this Second Course are the following:
Richard M. Aron (Kent State University, USA)
Fernando Bombal (Universidad Complutense de Madrid, Spain)
José Bonet, (Universidad Politécnica de Valencia, Spai
Javier Duoandikoetxea (Universidad del PaÃs Vasco, Spain)
Miguel de Guzmán (Universidad Complutense de Madrid, Spain)(*)
Gilles Godefroy (U. Paris VI , France )
William B. Johnson (Texas A&M University, USA)
Nigel J. Kalton, (University of Missouri, USA)
Michael Neumann (Mississippi State University, USA)
Lawrence Narici (St. John's University, New York, USA)
Kristian Seip (Norwegian University of Sciences and Technology, Norway)
Manuel Valdivia (Universidad de Valencia, Spain)
Joan Verdera (Universidad Autónoma de Barcelona, Spain)
Felipe Zó (Universidad Nacional de San Luis, Argentina)
(*) We are very sorry to announce the death of Professor Miguel de
Guzman (1936-2004), on April 14, 2004. Professor Guzman held a Chair
in Mathematical Analysis at the Universidad Complutense de Madrid and
was a member of the Royal Academy of Sciences. We had looked forward
very much to his participation, as a principal speaker at our meeting.
His guidance, leadership, and wisdom will be very much missed.
The registration fee is 50 euros for students and 100 euros for all
others, provided this fee is paid before July 15th. After July 15, 2004,
the fee will be 100 euros for students and 120 euros others. A gala
dinner is included in this fee. To formalize the registration process,
participants need to complete the inscription form and also to pay
the inscription fee. The electronic version of the inscription form is
available in our web page:
http://www.ugr.es/local/amandal
where one can register on-line. Finally if you have problems to coming
into our web page please contact us.
Lodging is arranged by our Technical Secretary (Eurocongres S.A.)
We have rooms in Students Residence Halls at 20 euros per single room
per night (subsidized fee) and four star hotels at 60.10 per room per
night (which is a special price for our University), with breakfast
included. Both the Student Residence Halls and affiliated hotels are
located within walking distance to the meeting centre (the Faculty of
Science of the Universidad de Granada). We would like to advise you that
despite the fact that Granada has many hotels, the number of room we can
offer you to this special price is very limited. We therefore strongly
suggest that you make your reservation as soon as possible, especially
since September is still high season in Granada. Student Residence and
hotel rooms will be assigned by strict reservation order and, after that,
we cannot guarantee these prices.
The scientific program will be complemented by some of the typical
attractions of Granada and its surroundings (of course, a visit to
the Alhambra is included!). These leisure activities will encourage
links of friendship that are so important for every professional group.
The Organizing Committee invites you to participate in this meeting with
the best wishes that you have a happy and fruitful stay here in Granada.
Yours sincerely.
Victoria Velasco Collado
(Coordinator)
Dpto de Ana¡lisis Matemático
Facultad de Ciencias
Universidad de Granada
18071- Granada (Spain)
E-mail : amandal at ugr.es
_______________________________________________
Banach mailing list
Banach at math.okstate.edu
http://mail.math.okstate.edu:8080/mailman/listinfo/banach
From alspach Fri Apr 30 14:16:34 2004
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Fri, 30 Apr 2004 14:16:33 -0500
Date: Fri, 30 Apr 2004 14:16:33 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200404301916.i3UJGXq14659 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by R. Gonzalo and J. A. Jaramillo
Status: R
This is an announcement for the paper "Estimates of disjoint sequences
in Banach lattices and r. i. function spaces" by R. Gonzalo and
J. A. Jaramillo.
Abstract: We introduce UDSp-property (resp. UDTq-property) in Banach
lattices as the property that every normalized disjoint sequence has
a subsequence with an upper p-estimate (resp. lower q-estimate). In
the case of rearrangement invariant spaces, the relationships with Boyd
indices of the space are studied. Some applications of these properties
are given to the high order smoothness of Banach lattices, in the sense
of the existence of differentiable bump functions.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B42; 46E30; 46G05
The source file(s), disjoint.tex: 39217 bytes, is(are) stored in gzipped
form as 0404526.gz with size 12kb. The corresponding postcript file has
gzipped size 64kb.
Submitted from: jaramil at mat.ucm.es
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0404526
or
http://arXiv.org/abs/math.FA/0404526
or by email in unzipped form by transmitting an empty message with
subject line
uget 0404526
or in gzipped form by using subject line
get 0404526
to: math at arXiv.org.
From banach-bounces at math.okstate.edu Mon May 3 09:54:25 2004
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Date: Mon, 03 May 2004 09:46:16 -0500
From: Dale Alspach <alspach at math.okstate.edu>
Subject: [Banach] Conference in Granada (resend with corrections)
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Status: R
Next September, from the 20th to the 24th, the SECOND
INTERNATIONAL COURSE OF MATHEMATICAL ANALYSIS IN ANDALUCIA will
be held in Granada (Spain). These courses are held every two
years in some Andalusian city, with the first being in Cadiz, in
September 2002.
Our aim is to give an extensive overview of new directions and advances in
Mathematical Analysis. Therefore the researcher is invited to get into
topics seem promising as guidelines for current and future research in this
interesting area of Mathematics. Leading researchers in the field will
provide us with a nice variety of topics and open problems, showing also
some tools and techniques that have been helpful in similar situations. To
this goal, we offer both seminars and one-hour talks. While the one-hour
talk are intended to provide an overview on a variety of current topics, the
seminars will extend over several days and will therefore allow an in-depth
discussion of certain specific subjects. Moreover, all participants of the
meeting will have the opportunity to present new results of their research
in short communications.
The invited speakers of this Second Course are the following:
- Richard M. Aron (Kent State University, USA)
- Fernando Bombal (Universidad Complutense de Madrid, Spain)
- Jose Bonet (Universidad Politecnica de Valencia, Spain).
- Javier Duoandikoetxea (Universidad del Pais Vasco, Spain)
- Miguel de Guzman (Universidad Complutense de Madrid, Spain) (*)
- Gilles Godefroy (University Paris VI , France )
- William B. Johnson (Texas A&M University, USA)
- Nigel J. Kalton (University of Missouri, USA)
- Michael Neumann (Mississippi State University, USA)
- Lawrence Narici (St. John's University, New York, USA)
- Kristian Seip (Norwegian Univ. of Sciences and Technology, Norway)
- Manuel Valdivia (Universidad de Valencia, Spain)
- Joan Verdera (Universitat Autonoma de Barcelona, Spain)
- Felipe Zo (Universidad Nacional de San Luis, Argentina)
(*) We are very sorry to announce the death of Professor Miguel de
Guzman (1936-2004), which occurred on April 14, 2004. Professor
Guzman held a Chair in Mathematical Analysis at the Universidad
Complutense de Madrid and was a member of the Royal Academy of
Sciences. We had looked forward very much to his participation,
as a principal speaker at our meeting. His guidance, leadership,
and wisdom will be very much missed.
The registration fee is 50 euros for students and 100 euros for all others,
provided this fee is paid before July 15th. After July 15, 2004, the fee
will be 100 euros for students and 120 euros others. A gala dinner is
included in this expense. To formalize the registration process,
participants need to complete the inscription form and also to pay the
inscription fee. The electronic version of the inscription form is available
in our web page:
http://www.ugr.es/local/amandal
where one can register on-line. To do it other way, please
contact us.
Lodging is arranged by our Technical Secretary (Eurocongres S.A.) We have
rooms in Students Residence Halls at 20 euros per single room per night
(subsidized fee) and four-star hotels at 60.10 euros per room per night
(which is a special price for our University), with breakfast included. Both
the Student Residence Halls and affiliated hotels are located within walking
distance to the meeting centre (Faculty of Science of the University of
Granada). We would like to advise you that despite the fact that Granada has
many hotels, the number of rooms we can offer you to this special price is
very limited. We therefore strongly suggest that you make your reservation
as soon as possible, especially since September is still high season in
Granada. Student Residence and hotel rooms will be assigned by strict
reservation order and, after that, we cannot guarantee these prices.
The scientific program will be complemented by some of the typical
attractions of Granada and its surroundings (of course, a visit to the
Alhambra is included!). These leisure activities will encourage links of
friendship that are so important for every professional group.
The Organizing Committee invites you to participate in this meeting with the
best wishes that you have a happy and fruitful stay here, in Granada.
Yours sincerely,
Victoria Velasco (Coordinator)
Dpto. de Analisis Matematico
Facultad de Ciencias Universidad de Granada
18071-Granada (Spain)
e-mail: amandal at ugr.es
Organizing/Scientific Committee:
- U. of Granada: Juan F. Mena, Rafael Paya, Angel Rodriguez-Palacios,
Victoria Velasco (coordinator).
- U. of Almeria: Amin Kaidi, J. Carlos Navarro.
- U. of Cadiz: Antonio Aizpuru, Fernando Leon.
- U. of Cordoba: J. Carlos Diaz.
- U. of Huelva: Candido Pineiro, Ramon Rodriguez.
- U. of Jaen: Miguel Marano, Francisco Roca.
- U. of Malaga: Antonio Fernandez, Daniel Girela, Fco. Javier Martin.
- U. of Sevilla: Santiago Diaz, Tomas Dguez Benavides, Carlos Perez, Luis
Rguez Piazza.
Organizing/Local Committee: M. Dolores Acosta, Julio Becerra,
Antonio Moreno, Antonio Peralta
_______________________________________________
Banach mailing list
Banach at math.okstate.edu
http://mail.math.okstate.edu:8080/mailman/listinfo/banach
From alspach at math.okstate.edu Thu May 6 11:29:15 2004
Return-Path: <alspach at math.okstate.edu>
Date: Tue, 04 May 2004 13:44:36 +0200
From: <fcabello at unex.es>
To: banach at math.okstate.edu
Subject: [Banach] V Conference on Banach Spaces (2nd announcement)
Dear Colleagues, this is the second, and last, announcement for
the
V Conference on Banach Spaces
to be held in Caceres during the week 13-17 September 2004.
Most of the available information can be found at the web-site
http://matematicas.unex.es/conference/banach
which will be periodically updated. Caceres is beautiful town at
the north of Extremadura. It is well connected with Madrid by bus
or train; the distance is about 300Km. The Old Town of Caceres
is part of the World Heritage, and anyone interested can get a
virtual tour at the address
http://www.iespana.es/paseovirtual/patrimonio1.htm
The Scientific Committee of the V Conference is formed by
Fernando Bombal, Universidad Complutense de Madrid;
Maria Jesus Carro, Universidad de Barcelona;
Jesus M.F. Castillo, Universidad de Extremadura;
Manuel Gonzalez, Universidad de Cantabria;
William B. Johnson, Texas A&M University;
Robert Phelps, University of Washington and
Angel Rodriguez Palacios, Universidad de Granada.
The main topics of the Conference are:
Geometrical methods in Banach spaces:
renormings, convexity, isometric properties,
Hilbert spaces, orthogonality, local theory...
Homological methods:
exact sequences and twisted sums, derived functors,
categorical properties of Banach spaces, Tensor products,
Ultraproducts, abstract interpolation...
Topological methods:
cardinality and set-theoretic properties, Lipschitz,
uniform ... structures in Banach spaces, topological vector
spaces...
Operator theory:
operator ideals, semigroups of operators, spectral theory,
interpolation, operator spaces and
C*-algebras...
Function spaces:
infinite dimensional holomorphy, continuous functions on Banach
spaces, Banach, Fréchet
.. spaces of continuous functions, lattices...
The following mathematicians have accepted to participate
delivering invited lectures:
S. Argyros, Athens, Greece
F. Cobos, Madrid, Spain
P. Domanski, Poznan, Poland
M. Girardi, St.Louis, USA
G. Godefroy, Paris, France
N. J. Kalton, Missouri, USA
W. B. Johnson, Texas A&M, USA
A. Molto, Valencia, Spain
J. P. Moreno, Madrid, Spain
P. L. Papini, Bologna, Italy
A. Pelczynski, Warszawa, Poland
R. Phelps, Washington, USA
H. O. Tylli, Helsinki, Finland
L. Weis, Karlsruhe, Germany
J. Wengenroth, Trier, Germany.
There will be sections devoted to shorter talks and
communications. The abstract submission form can be found at the
home page. There is a fee of 150 euros and the possibility of a
combined offer: fee + accommodation at the Residencia Munoz
Torrero, which includes breakfast and meal, by 300 euros. Again, the
details about methods of payment and the different options can be
found at the home page. The Organization is negotiating the
publication of the Proceedings volume with some international
publishers.
Please take notice the following deadlines:
* Deadline for submission of abstract: 15 June 2004
* Deadline for reduced rate registration: 15 June 2004
For any further information you may need, do not hesitate to
contact any member of the organization: Felix Cabello
(fcabello at unex.es), Jesus M. F. Castillo (castillo at unex.es),
Ricardo Garcia (rgarcia at unex.es) or send a mail to the address
banach at unex.es
There is a limited number of grants available. Applications can be
sent with just a message to the previous address.
The Conference is sponsored by:
Departamento de Matematicas de la Universidad de Extremadura
Diputacion de Caceres
Junta de Extremadura
Ministerio de Ciencia y Tecnologia
Real Sociedad Matematica Española.
We hope to meet you at Caceres
On behalf of the Organization,
Jesus M. F. Castillo,
Departamento de Matematicas
Universidad de Extremadura
castillo at unex.es
phone number: +34924289563
fax number: +34924272911
_______________________________________________
Banach mailing list
Banach at math.okstate.edu
http://mail.math.okstate.edu:8080/mailman/listinfo/banach
From alspach Tue May 11 08:06:51 2004
Return-Path: <alspach at www.math.okstate.edu>
Received: (from alspach at localhost)
by www.math.okstate.edu (8.11.6/8.8.7) id i4BD6p809973;
Tue, 11 May 2004 08:06:51 -0500
Date: Tue, 11 May 2004 08:06:51 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200405111306.i4BD6p809973 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Tomonari Suzuki
Status: R
This is an announcement for the paper "Fixed point theorems for
asymptotically contractive mappings" by Tomonari Suzuki.
Abstract: In this short paper, we prove fixed point theorems for
nonexpansive mappings whose domains are unbounded subsets of Banach
spaces. These theorems are generalizations of Penot's result in
[Proc. Amer. Math. Soc., 131 (2003), 2371--2377].
Archive classification: Functional Analysis
Mathematics Subject Classification: 47H09
Remarks: 7 pages
The source file(s), suzuki.tex: 18631 bytes, is(are) stored in gzipped
form as 0405163.gz with size 5kb. The corresponding postcript file has
gzipped size 38kb.
Submitted from: suzuki-t at mns.kyutech.ac.jp
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0405163
or
http://arXiv.org/abs/math.FA/0405163
or by email in unzipped form by transmitting an empty message with
subject line
uget 0405163
or in gzipped form by using subject line
get 0405163
to: math at arXiv.org.
From alspach Thu May 13 07:25:27 2004
Return-Path: <alspach at www.math.okstate.edu>
Received: (from alspach at localhost)
by www.math.okstate.edu (8.11.6/8.8.7) id i4DCPQQ24265;
Thu, 13 May 2004 07:25:26 -0500
Date: Thu, 13 May 2004 07:25:26 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200405131225.i4DCPQQ24265 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Piotr Pucha{\l}a
Status: R
This is an announcement for the paper "Continuous version of the Choquet
integral reperesentation theorem" by Piotr Pucha{\l}a.
Abstract: The Choquet - Bishop - de Leeuw theorem states that each element
of a compact convex subset of a locally convex topological Hausdorff space
is a barycenter of a probability measure supported by the set of extreme
points of that set. By the Edgar - Mankiewicz result this remains true
for nonempty closed bounded and convex set provided it has Radon - Nikodym
property. In the paper it is shown, that Choquet - type theorem holds also
for "moving" sets: they are values of a certain multifunction. Namely, the
existence of a suitable weak* continuous family of probability measures
"almost representing" points of such sets is proven. Both compact and
noncompact cases are considered. The continuous versions of the Krein -
Milman theorem are obtained as corollaries.
Archive classification: Functional Analysis
Mathematics Subject Classification: 54C60; 54C65; 46A55; 46B22
Remarks: 8 pages
The source file(s), choquetpreprint.tex: 29699 bytes, is(are) stored in
gzipped form as 0405217.gz with size 10kb. The corresponding postcript
file has gzipped size 48kb.
Submitted from: ppuchala at imi.pcz.pl
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0405217
or
http://arXiv.org/abs/math.FA/0405217
or by email in unzipped form by transmitting an empty message with
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From: Dale Alspach <alspach at math.okstate.edu>
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Subject: [Banach] JOURNAL OF APPLIED FUNCTIONAL ANALYSIS(JAFA)
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Status: R
CALL FOR HIGH QUALITY PAPERS
JOURNAL OF APPLIED FUNCTIONAL ANALYSIS(JAFA)
A quarterly International publication of NOVA Publishing Corporation of
NY,USA.
Editor in Chief: George Anastassiou
Department of Mathematical Sciences
The University of Memphis
Memphis,TN 38152,USA
E mail:
ganastss at memphis.edu
http://www.msci.memphis.edu/~anastasg/jafa/jafa.htm
Managing Editor : Carlo Bardaro (for all submissions)
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The main purpose of the Journal of Applied Functional Analysis(JAFA)
is to publish high quality original research articles, survey articles
and book reviews from all subareas of Applied Functional Analysis in the
broadest form plus from its applications and its connections to other
topics of Mathematical Sciences. A sample list of connected mathematical
areas with this publication includes but is not restricted to:
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Integral and Discrete Transforms, Chaos and Bifurcation, Nonlinear
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are included combinations of the above topics.
Working with Applied Functional Analysis Methods has become a main trend
in many
recent years, so we can understand better and deeper and solve important
problems of
our real and scientific world.
JAFA is a peer-reviewed International Quartely Journal published by NOVA
SCIENCE
Publ. Co. of NY -USA.
We are calling for high quality papers for possible publication. The
contributor should send four copies of the contribution to the MANAGING
EDITOR in TEX,LATEX double spaced. They should be sent ONLY REGULAR
MAIL,NOT REGISTERED MAIL,NO E-MAIL SUBMISSIONS[See: Instructions to
Contributors in
http://www.msci.memphis.edu/~anastasg/jafa/scope.htm .]
Honorary editor : P.L.Butzer (Aachen, Germany)
Associate editors: F.Altomare (Bari,Italy), A.Alvino (Napoli,Italy),
I.Argyros
(Cameron.U,USA), C.Badea (U.Lille, France), E.Balder (Utrecht, Holland),
H.Begehr
(Berlin,Germany), F.Bombal (Madrid, Spain), M.Campiti (Lecce, Italy),
D.Candeloro
(Perugia, Italy), P.Cerone (Melbourne, Australia), M.Dodson (York,UK),
S.Dragomir
(Melbourne, Australia), P.Ferriera (Aveiro, Portugal), G.Goldstein
(Memphis,USA),
J.Goldstein (Memphis, USA), H.Gonska (Duisburg, Germany), K.Groechenig
(GSF-
Neuherberg, Germany),T.X.He (Bloomington,USA), D.Hong (E.Tennesse St.
U,USA), H.Jongen (Aachen, Germany), N.Karayiannis (Houston,USA),
T.Kilgore (Auburn,USA) ,J.K.Kim (Masan Kyungnam,Korea), M.Krbec (Praha,
Czech Republic), P.Maass
(Bremen, Germany), J.Musielak (Poznan, Poland), P.Papini (Bologna,
Italy),
S.Rachev (Karlsruhe, Germany and UC Santa Barbara,USA), P.Ricci (Rome,
Italy),
S.Romanelli (Bari, Italy), B.Shekhtman (Tampa,USA), P.Siafaricas
(Patras,Greece),
R.Stens (Aachen,Germany), J.Trujillo (Tenerife, Spain), T.Vashakmadze
(Tbilisi,Georgia), R.Verma (Toledo,USA), G.Vinti (Perugia, Italy),
U.Westphal (Hannover, Germany), R.Zalik (Auburn, USA).
- --
George A. Anastassiou,Ph.D
Professor of Mathematics
Department of Mathematical Sciences
The University of Memphis,Memphis,TN 38152,USA
Editor-In-Chief JoCAAA, JCAAM ;World Sci.Publ.Book Series:
Concrete & Applicable Math.
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From alspach Fri May 21 21:16:28 2004
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Date: Fri, 21 May 2004 21:16:27 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200405220216.i4M2GR826638 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Mark W. Meckes
Status: R
This is an announcement for the paper "Some remarks on transportation
inequalities and the slicing problem" by Mark W. Meckes.
Abstract: We show that transportation cost inequalities can be used
to derive bounds for isotropic constants of convex bodies. We state
a conjecture about transportation costs (and discuss support for it)
which would have strong consequences for the slicing problem.
Archive classification: Metric Geometry; Functional Analysis
Mathematics Subject Classification: 52A20; 60E15
Remarks: AMSLaTeX
The source file(s), transport.tex: 21567 bytes, is(are) stored in gzipped
form as 0405376.gz with size 7kb. The corresponding postcript file has
gzipped size 47kb.
Submitted from: mark at math.stanford.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.MG/0405376
or
http://arXiv.org/abs/math.MG/0405376
or by email in unzipped form by transmitting an empty message with
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uget 0405376
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From banach-bounces at math.okstate.edu Mon May 24 10:48:57 2004
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Date: Mon, 24 May 2004 10:40:54 -0500
From: Dale Alspach <alspach at math.okstate.edu>
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Subject: [Banach] Winter School, Toulouse 2005
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Status: R
***********************************************************
FIRST ANNOUNCEMENT of the WINTER SCHOOL on
PROBABILISTIC METHODS IN HIGH DIMENSION PHENOMENA
Toulouse, January 10-14, 2005
The school will provide young as well as expert scientists with
the recent probabilistic tools developed for the investigation
of high-dimensional systems. It is part of the project of European
Network Phenomena in High Dimension. It will be composed of the
following five courses:
I.Benjamini (Rehovot) ``Random walks and Percolation on graphs''
C.Borell (Goteborg) ``Minkowski sums in Gaussian analysis''
K.Johansson (Stockholm) ``Determinantal Processes in Random Matrix Theory''
G.Lugosi (Barcelona) ``Concentration of Functions of Independent Random
Variables''
R.Schneider (Freiburg) ``Convexity in Stochastic Geometry''
The conference Webpage is at http://www.lsp.ups-tlse.fr/Proba_Winter_School/.
It contains more information as well as the registration material.
Do not hesitate to print the conference poster
(http://www.lsp.ups-tlse.fr/Proba_Winter_School/poster.pdf) and
to post it in your lab!
***********************************************************************
__________________________________________________________________________
Michel Ledoux ledoux at math.ups-tlse.fr
Institut de Mathematiques Tel : (+33) 561 55 85 74
Universite de Toulouse Fax : (+33) 561 55 60 89
F-31062 Toulouse, France http://www.lsp.ups-tlse.fr/Ledoux/
_______________________________________________
Banach mailing list
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From alspach Mon May 31 09:09:12 2004
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by www.math.okstate.edu (8.11.6/8.8.7) id i4VE9BO12364;
Mon, 31 May 2004 09:09:11 -0500
Date: Mon, 31 May 2004 09:09:11 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200405311409.i4VE9BO12364 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Gilles Lancien and Beata Randrianantoanina
Status: R
This is an announcement for the paper "On the extension of H\"{o}lder
maps with values in spaces of continuous functions" by Gilles Lancien
and Beata Randrianantoanina.
Abstract: We study the isometric extension problem for H\"{o}lder
maps from subsets of any Banach space into $c_0$ or into a space
of continuous functions. For a Banach space $X$, we prove that any
$\alpha$-H\"{o}lder map, with $0<\alpha\leq 1$, from a subset of $X$
into $c_0$ can be isometrically extended to $X$ if and only if $X$
is finite dimensional. For a finite dimensional normed space $X$ and
for a compact metric space $K$, we prove that the set of $\alpha$'s
for which all $\alpha$-H\"{o}lder maps from a subset of $X$ into $C(K)$
can be extended isometrically is either $(0,1]$ or $(0,1)$ and we give
examples of both occurrences. We also prove that for any metric space $X$,
the described above set of $\al$'s does not depend on $K$, but only on
finiteness of $K$.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B20 (46T99, 54C20, 54E35)
Remarks: 16 pages
The source file(s), lancien-randrian.tex: 42206 bytes, is(are) stored in
gzipped form as 0405565.gz with size 13kb. The corresponding postcript
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Submitted from: randrib at muohio.edu
The paper may be downloaded from the archive by web browser from URL
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From alspach Thu Jun 10 11:06:51 2004
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Thu, 10 Jun 2004 11:06:51 -0500
Date: Thu, 10 Jun 2004 11:06:51 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200406101606.i5AG6ps27353 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by V. Farmaki and S. Negrepontis
Status: R
This is an announcement for the paper "Block combinatorics" by V. Farmaki
and S. Negrepontis.
Abstract: In this paper we extend the block combinatorics partition
theorems of Hindman and Milliken in the setting of the recursive system
of the block Schreier families (B^xi) consisting of families defined for
every countable ordinal xi. Results contain (a) a block partition Ramsey
theorem for every countable ordinal xi (Hindman's theorem corresponding
to xi=1, and Milliken's theorem to xi a finite ordinal), (b) a countable
ordinal form of the block Nash-Williams partition theorem, and (c)
a countable ordinal block partition theorem for sets closed in the
infinite block analogue of Ellentuck's topology.
Archive classification: Combinatorics; Functional Analysis
Mathematics Subject Classification: 05D10; 46B20
Remarks: 26 pages, AMS-LaTeX
The source file(s), fn04.tex: 83752 bytes, is(are) stored in gzipped
form as 0406188.gz with size 20kb. The corresponding postcript file has
gzipped size 98kb.
Submitted from: combs at mail.ma.utexas.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.CO/0406188
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http://arXiv.org/abs/math.CO/0406188
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From alspach Wed Jun 16 18:18:38 2004
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Date: Wed, 16 Jun 2004 18:18:38 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200406162318.i5GNIcs14571 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Konrad J. Swanepoel
Status: R
This is an announcement for the paper "Equilateral sets in
finite-dimensional normed spaces" by Konrad J. Swanepoel.
Abstract: This is an expository paper on the largest size of equilateral
sets in finite-dimensional normed spaces.
Archive classification: Metric Geometry; Functional Analysis
Mathematics Subject Classification: 52A21 (Primary) 46B20, 52C17
(Secondary)
Remarks: 30 pages
The source file(s), equilateral.tex: 94432 bytes, is(are) stored in
gzipped form as 0406264.gz with size 29kb. The corresponding postcript
file has gzipped size 128kb.
Submitted from: swanekj at unisa.ac.za
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From alspach Mon Jun 21 13:05:57 2004
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Date: Mon, 21 Jun 2004 13:05:57 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200406211805.i5LI5vZ24220 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Peter A. Loeb and Erik Talvila
Status: R
This is an announcement for the paper "Lusin's Theorem and Bochner
integration" by Peter A. Loeb and Erik Talvila.
Abstract: It is shown that the approximating functions used to define
the Bochner integral can be formed using geometrically nice sets, such as
balls, from a differentiation basis. Moreover, every appropriate sum of
this form will be within a preassigned $\varepsilon$ of the integral, with
the sum for the local errors also less than $\varepsilon$. All of this
follows from the ubiquity of Lebesgue points, which is a consequence of
Lusin's theorem, for which a simple proof is included in the discussion.
Archive classification: Classical Analysis and ODEs; Functional Analysis
Mathematics Subject Classification: 28A20, 28B05; 26A39
Remarks: To appear in Scientiae Mathematicae Japonicae
The source file(s), bochnerbox.tex: 34366 bytes, is(are) stored in gzipped
form as 0406370.gz with size 11kb. The corresponding postcript file has
gzipped size 52kb.
Submitted from: etalvila at math.ualberta.ca
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.CA/0406370
or
http://arXiv.org/abs/math.CA/0406370
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From alspach Tue Jun 22 14:53:00 2004
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Tue, 22 Jun 2004 14:53:00 -0500
Date: Tue, 22 Jun 2004 14:53:00 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200406221953.i5MJr0c31803 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Artem Zvavitch
Status: R
This is an announcement for the paper "The Busemann-Petty problem for
arbitrary measures" by Artem Zvavitch.
Abstract: The aim of this paper is to study properties of sections of
convex bodies with respect to different types of measures. We present
a formula connecting the Minkowski functional of a convex symmetric
body K with the measure of its sections. We apply this formula to study
properties of general measures most of which were known before only in
the case of the standard Lebesgue measure. We solve an analog of the
Busemann-Petty problem for the case of general measures. In addition,
we show that there are measures, for which the answer to the generalized
Busemann-Petty problem is affirmative in all dimensions. Finally,
we apply the latter fact to prove a number of different inequalities
concerning the volume of sections of convex symmetric bodies in $\R^n$
and solve a version of generalized Busemann-Petty problem for sections
by k-dimensional subspaces.
Archive classification: Metric Geometry; Functional Analysis
Mathematics Subject Classification: 52A15, 52A21, 52A38
The source file(s), GBP_Zvavitch.tex: 44254 bytes, is(are) stored in
gzipped form as 0406406.gz with size 12kb. The corresponding postcript
file has gzipped size 65kb.
Submitted from: zvavitch at math.kent.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.MG/0406406
or
http://arXiv.org/abs/math.MG/0406406
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From alspach Fri Jun 25 11:09:04 2004
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Fri, 25 Jun 2004 11:09:04 -0500
Date: Fri, 25 Jun 2004 11:09:04 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200406251609.i5PG94406518 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Valentin Ferenczi and Eloi Medina Galego
Status: R
This is an announcement for the paper "Some equivalence relations which
are Borel reducible to isomorphism between separable Banach spaces"
by Valentin Ferenczi and Eloi Medina Galego.
Abstract: We improve the known results about the complexity of the
relation of isomorphism between separable Banach spaces up to Borel
reducibility, and we achieve this using the classical spaces $c_0$,
$\ell_p$ and $L_p$, $1 \leq p <2$. More precisely, we show that
the relation $E_{K_{\sigma}}$ is Borel reducible to isomorphism and
complemented biembeddability between subspaces of $c_0$ or $\ell_p,
1 \leq p <2$. We show that the relation $E_{K_{\sigma}} \otimes =^+$
is Borel reducible to isomorphism, complemented biembeddability, and
Lipschitz equivalence between subspaces of $L_p, 1 \leq p <2$.
Archive classification: Functional Analysis; Logic
Mathematics Subject Classification: 03E15; 46B03
Remarks: 22 pages; 2 figures
The source file(s), sjm16.tex: 74499 bytes, is(are) stored in gzipped
form as 0406477.gz with size 22kb. The corresponding postcript file has
gzipped size 86kb.
Submitted from: eloi at ime.usp.br
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0406477
or
http://arXiv.org/abs/math.FA/0406477
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From alspach Fri Jun 25 11:09:58 2004
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Fri, 25 Jun 2004 11:09:53 -0500
Date: Fri, 25 Jun 2004 11:09:53 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200406251609.i5PG9rD06567 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Valentin Ferenczi and Eloi Medina Galego
Status: R
This is an announcement for the paper "Some results about the
Schroeder-Bernstein Property for separable Banach spaces" by Valentin
Ferenczi and Eloi Medina Galego.
Abstract: We construct a continuum of mutually non-isomorphic separable
Banach spaces which are complemented in each other. Consequently, the
Schroeder-Bernstein Index of any of these spaces is $2^{\aleph_0}$. Our
construction is based on a Banach space introduced by W. T. Gowers
and B. Maurey in 1997. We also use classical descriptive set theory
methods, as in some work of V. Ferenczi and C. Rosendal, to improve some
results of P. G. Casazza and of N. J. Kalton on the Schroeder-Bernstein
Property for spaces with an unconditional finite-dimensional Schauder
decomposition.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B03, 46B20
Remarks: 25 pages
The source file(s), ferenczigalegoSB.tex: 74499 bytes, is(are) stored in
gzipped form as 0406479.gz with size 22kb. The corresponding postcript
file has gzipped size 87kb.
Submitted from: eloi at ime.usp.br
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0406479
or
http://arXiv.org/abs/math.FA/0406479
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From alspach Thu Jul 8 09:01:52 2004
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Thu, 8 Jul 2004 09:01:52 -0500
Date: Thu, 8 Jul 2004 09:01:52 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200407081401.i68E1qO16723 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Christian Rosendal
Status: R
This is an announcement for the paper "Incomparable, non isomorphic and
minimal Banach spaces" by Christian Rosendal.
Abstract: A Banach space contains either a minimal subspace or a
continuum of incomparable subspaces. General structure results for
analytic equivalence relations are applied in the context of Banach
spaces to show that if $E_0$ does not reduce to isomorphism of the
subspaces of a space, in particular, if the subspaces of the space admit
a classification up to isomorphism by real numbers, then any subspace
with an unconditional basis is isomorphic to its square and hyperplanes
and has an isomorphically homogeneous subsequence.
Archive classification: Functional Analysis; Logic
The source file(s), ArchiveIncomparable.tex: 57150 bytes, is(are) stored
in gzipped form as 0407111.gz with size 19kb. The corresponding postcript
file has gzipped size 81kb.
Submitted from: rosendal at ccr.jussieu.fr
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0407111
or
http://arXiv.org/abs/math.FA/0407111
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From alspach Tue Jul 13 07:24:07 2004
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by www.math.okstate.edu (8.11.6/8.8.7) id i6DCO7v26854;
Tue, 13 Jul 2004 07:24:07 -0500
Date: Tue, 13 Jul 2004 07:24:07 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200407131224.i6DCO7v26854 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Jeremy J. Becnel
Status: R
This is an announcement for the paper "About countably-normed spaces"
by Jeremy J. Becnel.
Abstract: Here we present an overview of countably normed spaces. In
particular, we discuss the main topologies---weak, strong, inductive, and
Mackey---placed on the dual of a countably normed spaces and discuss the
sigma fields generated by these topologies. In particlar, we show that the
strong, inductive, and Mackey topologies are equivalent under reasonable
conditions. Also we show that all four topologies induce the same Borel
field under certain conditions. The purpose in mind is to provide the
background material for many of the results used in White Noise Analysis.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46A11
Remarks: 23 pages, 0 figures, Background material for White Noise Analysis
The source file(s), NuclearSpace.bbl: 1198 bytes, NuclearSpace.tex:
1472 bytes, borel.tex: 5271 bytes, cns.tex: 16479 bytes, compare.tex:
6600 bytes, conclusion.tex: 4430 bytes, inductive.tex: 6567 bytes,
nuclear.sty: 4578 bytes, strong.tex: 17400 bytes, tvs.tex: 14418 bytes,
weak.tex: 3536 bytes, is(are) stored in gzipped form as 0407200.tar.gz
with size 23kb. The corresponding postcript file has gzipped size 103kb.
Submitted from: beck at math.lsu.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0407200
or
http://arXiv.org/abs/math.FA/0407200
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From alspach Wed Jul 14 10:11:39 2004
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Wed, 14 Jul 2004 10:11:39 -0500
Date: Wed, 14 Jul 2004 10:11:39 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200407141511.i6EFBdg02274 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Stanislaw Szarek
Status: R
This is an announcement for the paper "The volume of separable states
is super-doubly-exponentially small" by Stanislaw Szarek.
Abstract: In this note we give sharp estimates on the volume of the set
of separable states on N qubits. In particular, the magnitude of the
"effective radius" of that set in the sense of volume is determined up
to a factor which is a (small) power of N, and thus precisely on the
scale of powers of its dimension. Additionally, one of the appendices
contains sharp estimates (by known methods) for the expected values of
norms of the GUE random matrices. We employ standard tools of classical
convexity, high-dimensional probability and geometry of Banach spaces.
Archive classification: Quantum Physics; Functional Analysis
Remarks: 20 p., LATEX; an expanded version of the original submission:
more background material from convexity and geometry of Banach spaces, more
exhaustive bibliography and improved quality of references to the
bibliography
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/quant-ph/0310061
or
http://arXiv.org/abs/quant-ph/0310061
or by email in unzipped form by transmitting an empty message with
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From alspach Thu Jul 15 07:10:59 2004
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Thu, 15 Jul 2004 07:10:59 -0500
Date: Thu, 15 Jul 2004 07:10:59 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200407151210.i6FCAxo08836 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by S. Artstein, V. Milman, and S. J. Szarek
Status: R
This is an announcement for the paper "Duality of metric entropy" by
S. Artstein, V. Milman, and S. J. Szarek.
Abstract: For two convex bodies K and T in $R^n$, the covering number of K
by T, denoted N(K,T), is defined as the minimal number of translates of T
needed to cover K. Let us denote by $K^o$ the polar body of K and by D the
euclidean unit ball in $R^n$. We prove that the two functions of t, N(K,tD)
and N(D, tK^o), are equivalent in the appropriate sense, uniformly
over symmetric convex bodies K in $R^n$ and over positive integers n. In
particular, this verifies the duality conjecture for entropy numbers
of linear operators, posed by Pietsch in 1972, in the central case when
either the domain or the range of the operator is a Hilbert space.
Archive classification: Functional Analysis; Metric Geometry
Mathematics Subject Classification: 46B10; 47A05; 52C17; 51F99
Remarks: 17 p., LATEX
The source file(s), ArtMilSzaAoM.tex: 40692 bytes, is(are) stored in
gzipped form as 0407236.gz with size 14kb. The corresponding postcript
file has gzipped size 68kb.
Submitted from: szarek at cwru.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0407236
or
http://arXiv.org/abs/math.FA/0407236
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From alspach Thu Jul 15 07:12:37 2004
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Thu, 15 Jul 2004 07:12:37 -0500
Date: Thu, 15 Jul 2004 07:12:37 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200407151212.i6FCCb608886 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by S. Artstein, V. Milman, S. J. Szarek, and N. Tomczak-Jaegermann
Status: R
This is an announcement for the paper "On convexified packing
and entropy duality" by S. Artstein, V. Milman, S. J. Szarek, and
N. Tomczak-Jaegermann.
Abstract: For a compact operator acting between two Banach spaces,
a 1972 duality conjecture due to Pietsch asserts that its entropy
numbers and those of its adjoint are equivalent. This is equivalent
to a dimension-free inequality relating covering (or packing) numbers
for convex bodies to those of their polars. The duality conjecture has
been recently proved (see math.FA/0407236) in the central case when one
of the Banach spaces is Hilbertian, which - in the geometric setting -
corresponds to a duality result for symmetric convex bodies in Euclidean
spaces. In the present paper we define a new notion of "convexified
packing," show a duality theorem for that notion, and use it to prove the
duality conjecture under much milder conditions on the spaces involved
(namely, that one of them is K-convex).
Archive classification: Functional Analysis; Metric Geometry
Mathematics Subject Classification: 46B10; 46B07; 46B50; 47A05; 52C17;
51F99
Remarks: 6 p., LATEX
The source file(s), ConvPackShort5.tex: 21620 bytes, is(are) stored in
gzipped form as 0407238.gz with size 8kb. The corresponding postcript
file has gzipped size 43kb.
Submitted from: szarek at cwru.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0407238
or
http://arXiv.org/abs/math.FA/0407238
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From alspach Thu Jul 15 07:14:39 2004
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Thu, 15 Jul 2004 07:14:39 -0500
Date: Thu, 15 Jul 2004 07:14:39 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200407151214.i6FCEd408935 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Stanislaw J. Szarek, and Nicole Tomczak-Jaegermann
Status: R
This is an announcement for the paper "Saturating constructions for
normed spaces" by Stanislaw J. Szarek and Nicole Tomczak-Jaegermann .
Abstract: We prove several results of the following type: given finite
dimensional normed space V there exists another space X with
log(dim X) = O(log(dim V)) and such that every subspace (or quotient) of X,
whose dimension is not "too small," contains a further subspace isometric
to V. This sheds new light on the structure of such large subspaces or
quotients (resp., large sections or projections of convex bodies) and
allows to solve several problems stated in the 1980s by V. Milman. The
proofs are probabilistic and depend on careful analysis of images of
convex sets under Gaussian linear maps.
Archive classification: Functional Analysis; Probability
Mathematics Subject Classification: 46B20; 52A21; 52A22; 60D05
Remarks: 27 p., LATEX
The source file(s), SzarekTomczakSat1.tex: 71711 bytes, is(are) stored
in gzipped form as 0407233.gz with size 25kb. The corresponding postcript
file has gzipped size 105kb.
Submitted from: szarek at cwru.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0407233
or
http://arXiv.org/abs/math.FA/0407233
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From alspach Thu Jul 15 07:16:46 2004
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Thu, 15 Jul 2004 07:16:46 -0500
Date: Thu, 15 Jul 2004 07:16:46 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200407151216.i6FCGko09002 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Stanislaw J. Szarek and Nicole Tomczak-Jaegermann
Status: R
This is an announcement for the paper "Saturating constructions for
normed spaces II" by Stanislaw J. Szarek and Nicole Tomczak-Jaegermann.
Abstract: We prove several results of the following type: given finite
dimensional normed space V possessing certain geometric property there
exists another space X having the same property and such that
(1) log(dim X) = O(log(dim V)) and (2) every subspace of X, whose dimension
is not "too small," contains a further well-complemented subspace nearly
isometric to V. This sheds new light on the structure of large subspaces
or quotients of normed spaces (resp., large sections or linear images
of convex bodies) and provides definitive solutions to several problems
stated in the 1980s by V. Milman. The proofs are probabilistic and depend
on careful analysis of images of convex sets under Gaussian linear maps.
Archive classification: Functional Analysis; Probability
Mathematics Subject Classification: 46B20; 46B07; 52A21; 52A22; 60D05
Remarks: 35 p., LATEX
The source file(s), SzarekTomczakSat2.tex: 104176 bytes, is(are) stored
in gzipped form as 0407234.gz with size 33kb. The corresponding postcript
file has gzipped size 127kb.
Submitted from: szarek at cwru.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0407234
or
http://arXiv.org/abs/math.FA/0407234
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From alspach Fri Jul 16 08:16:23 2004
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Fri, 16 Jul 2004 08:16:23 -0500
Date: Fri, 16 Jul 2004 08:16:23 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200407161316.i6GDGNc16496 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Julio Becerra-Guerrero and Miguel Martin
Status: R
This is an announcement for the paper "The Daugavet property of
$C^*$-algebras, $JB^*$-triples, and of their isometric preduals"
by Julio Becerra-Guerrero and Miguel Martin.
Abstract: A Banach space $X$ is said to have the Daugavet property if
every rank-one operator $T:X\longrightarrow X$ satisfies $\|Id + T\|
= 1 + \|T\|$. We give geometric characterizations of this property
in the settings of $C^*$-algebras, $JB^*$-triples and their isometric
preduals. We also show that, in these settings, the Daugavet property
passes to ultrapowers, and thus, it is equivalent to an stronger property
called the uniform Daugavet property.
Archive classification: Functional Analysis; Operator Algebras
Mathematics Subject Classification: Primary 17C; 46B04; 46B20; 46L05;
46L70; Secondary 46B22, 46M07
Remarks: 18 pages
The source file(s), BeceMart.tex: 68626 bytes, is(are) stored in gzipped
form as 0407214.gz with size 19kb. The corresponding postcript file has
gzipped size 90kb.
Submitted from: mmartins at ugr.es
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0407214
or
http://arXiv.org/abs/math.FA/0407214
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Subject: [Banach] SUMIRFAS Announcement
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ANNOUNCEMENT OF SUMIRFAS 2004
The Informal Regional Functional Analysis Seminar
August 6 - 8
Texas A&M University, College Station
Schedule: Talks for SUMIRFAS will be posted on the Workshop in
Linear Analysis and Probability page, URL
http://www.math.tamu.edu/research/workshops/linanalysis/
Below is a list of speakers, current as of July 18.
The Home Page also contains other information about the Workshop,
including a list of participants and a schedule of seminars.
Housing: Contact Cheryl Williams, (cherylr at math.tamu.edu; 979/845-9424,
office; 979/ 845-6028, fax) for help with housing. Please tell Cheryl the
type of accommodation you desire (smoking or nonsmoking).
We expect to be able to cover housing for most participants from support
the National Science Foundation has provided for the Workshop. Preference
will be given to participants who do not have other sources of support,
such as sponsored research grants. When you ask Cheryl to book your room,
please tell her if you are requesting support.
Dinner: There will be a dinner at 6:30 p.m. on Saturday, August 7, at
Imperial Chinese Restaurant, 2232 S. Texas Ave. in College Station. The
cost for the subsidized dinner is $15 per person for faculty and
accompanying
persons and $10 per person for student participants. Please tell Cheryl
Dorn if
you (and spouse or companion, if applicable) will attend. Checks should be
made out to Math. Dept., TAMU.
** DINNER RESERVATIONS SHOULD BE MADE BY August 2
and PAYMENT MADE BY August 6. **
W. Johnson, johnson at math.tamu.edu
K. Dykema, kdykema at math.tamu.edu
D. Larson, larson at math.tamu.edu
G. Pisier,pisier at math.tamu.edu
J. Zinn, jzinn at math.tamu.edu
SUMIRFAS talks (as of July 18)
Hari Bercovici, A classical proof of a conformal mapping theorem derived
from free probability theory
Uffe Haagerup, Random Matrices and C*-algebras
Alexander Koldobsky, Intersection bodies and $L_p$-spaces
Michael Lacey, Hankel Operators and Product BMO
Narutaka Ozawa, New progress in the classification of group von Neumann
algebras
Assaf Naor, Markov chains in metric s