Messages from 2006
These are the messages distributed to the Banach list during 2006.
From alspach at www.math.okstate.edu Mon Jan 9 06:24:31 2006
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Date: Mon, 9 Jan 2006 06:24:31 -0600 (CST)
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200601091224.k09COVdu001309 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 "Random sets of isomorphism
of linear operators on Hilbert space" by Roman Vershynin.
Abstract: This note deals with a problem of the probabilistic Ramsey
theory. Given a linear operator T on a Hilbert space with an
orthogonal basis, we define the isomorphic structure Sigma(T) as
the family of all finite subsets of the basis such that T restricted
to their span is a nice isomorphism. We give an optimal bound on
the size of Sigma(T). This improves and extends in several ways the
principle of restricted invertibility due to Bourgain and Tzafriri.
With an appropriate notion of randomness, we obtain a randomized
principle of restricted invertibility.
Archive classification: Functional Analysis; Probability
Mathematics Subject Classification: 46B09
Remarks: 10 pages
The source file(s), imsart.sty: 47558 bytes, sets-of-isomorphism.tex:
27134 bytes, is(are) stored in gzipped form as 0601112.tar.gz with
size 21kb. The corresponding postcript file has gzipped size 51kb.
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/0601112
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From alspach at www.math.okstate.edu Sun Jan 15 17:25:30 2006
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Date: Sun, 15 Jan 2006 17:25:30 -0600 (CST)
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200601152325.k0FNPUld035128 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 "A universal Lipschitz extension
property of Gromov hyperbolic spaces" by A. Brudnyi and Yu. Brudnyi.
Abstract: A metric space has the universal Lipschitz extension
property if for each subspace S embedded quasi-isometrically into
an arbitrary metric space M there exists a continuous linear extension
of Banach-valued Lipschitz functions on S to those on all of M. We
show that the finite direct sum of Gromov hyperbolic spaces of
bounded geometry is universal in the sense of this definition.
Archive classification: Metric Geometry; Functional Analysis
Mathematics Subject Classification: Primary 26B35, Secondary 54E35,
46B15
Remarks: 31 pages
The source file(s), univ.tex: 78011 bytes, is(are) stored in gzipped
form as 0601205.gz with size 22kb. The corresponding postcript file
has gzipped size 105kb.
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/0601205
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From alspach at www.math.okstate.edu Tue Jan 17 07:15:32 2006
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Date: Tue, 17 Jan 2006 07:15:32 -0600 (CST)
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200601171315.k0HDFWGK054875 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-Avidan, O. Friedland, V. Milman, and S. Sodin
Status: R
This is an announcement for the paper "Polynomial bounds for large
Bernoulli sections of $\ell_1^N$" by S. Artstein-Avidan, O. Friedland,
V. Milman, and S. Sodin.
Abstract: We prove a quantitative version of the bound on the
smallest singular value of a Bernoulli covariance matrix (due to
Bai and Yin). Then we use this bound, together with several recent
developments, to show that the distance from a random (1-delta) n
- dimensional section of l_1^n, realised as an image of a sign
matrix, to an Euclidean ball is polynomial in 1/delta (and independent
of n), with high probability.
Archive classification: Functional Analysis; Metric Geometry;
Mathematical Physics
Remarks: 22 pages
The source file(s), polyl13.tex: 38003 bytes, is(are) stored in
gzipped form as 0601369.gz with size 13kb. The corresponding postcript
file has gzipped size 68kb.
Submitted from: sodinale at post.tau.ac.il
The paper may be downloaded from the archive by web browser from
URL
http://front.math.ucdavis.edu/math.FA/0601369
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From banach-bounces at math.okstate.edu Wed Jan 18 10:13:37 2006
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Date: Wed, 18 Jan 2006 06:09:41 -0800
From: George Anastassiou <ganastss at memphis.edu>
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Subject: [Banach] JOURNALS CALLING FOR PAPERS
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Status: R
Journals are Calling for Papers
Journal of Computational Analysis and Applications(JoCAAA),
Journal of Concrete and Applicable Mathematics(JCAAM),
Journal of Applied Functional Analysis(JAFA)
are calling for high quality articles for possible publication.
Above journals publish in the broad areas of Applied,Computational and
Numerical
Mathematics and also their connections to Pure Mathematics.
For more details,scopes,information to authors,editorial boards,etc
please visit:
www.eudoxuspress.com
--
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,JAFA;World Sci.Publ.Book Series:
Concrete & Applicable Math.
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From alspach at www.math.okstate.edu Tue Jan 24 08:51:02 2006
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Date: Tue, 24 Jan 2006 08:51:01 -0600 (CST)
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200601241451.k0OEp1b8071323 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Denny H. Leung and Wee-Kee Tang
Status: R
This is an announcement for the paper "More mixed Tsirelson spaces
that are not isomorphic to their modified versions" by Denny H.
Leung and Wee-Kee Tang.
Abstract: The class of mixed Tsirelson spaces is an important source
of examples in the recent development of the structure theory of
Banach spaces. The related class of modifed mixed Tsirelson spaces
has also been well studied. In the present paper, we investigate
the problem of comparing isomorphically the mixed Tsirelson space
T[(S_n,\theta_{n})_{n=1}^{\infty}] and its modified version
T_{M}[(S_{n},\theta_{n})_{n=1}^{\infty}]. It is shown that these
spaces are not isomorphic for a large class of parameters (\theta_{n}).
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B20; 46B45
The source file(s), LeungTangModMTS.tex: 95277 bytes, is(are) stored
in gzipped form as 0601542.gz with size 23kb. The corresponding
postcript file has gzipped size 117kb.
Submitted from: wktang at nie.edu.sg
The paper may be downloaded from the archive by web browser from
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From alspach at www.math.okstate.edu Tue Jan 24 08:52:16 2006
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Date: Tue, 24 Jan 2006 08:52:16 -0600 (CST)
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200601241452.k0OEqGIB071357 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Jakub Duda and Boaz Tsaban
Status: R
This is an announcement for the paper "Games in Banach spaces:
Questions and several answers" by Jakub Duda and Boaz Tsaban.
Abstract: Aronszajn-null sets are a notion of negligible sets for
infinite dimensional Banach spaces generalizing Lebesgue measure
zero sets on the real line and the Euclidean space. We present a
game-theoretic approach to Aronszajn null sets, and discuss the
ensuing open problems.
Archive classification: Functional Analysis; Logic
Remarks: Call for solutions
The source file(s), Anull4.tex: 22039 bytes, is(are) stored in
gzipped form as 0601556.gz with size 7kb. The corresponding postcript
file has gzipped size 42kb.
Submitted from: boaz.tsaban at weizmann.ac.il
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From banach-bounces at math.okstate.edu Wed Jan 25 08:34:23 2006
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From: Dale Alspach <alspach at math.okstate.edu>
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Subject: [Banach] Conference to Celebrate the Life and Work of Vladimir
Gurariy
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Status: R
Dear Friends,
The Department of Mathematical Sciences of Kent State
University is planning a Conference to Celebrate the Life and Work
of Vladimir Gurariy. The meeting will take place on
Friday-Saturday, March 10-11, 2006.
There will be several components to this meeting which will
only be able to touch on the contributions, in so many different
areas, that Vladimir made. In particular, speakers at the meeting
will include Per Enflo (Kent), Wolfgang Lusky (Paderborn), Mikhail
Ostrovskii (New York), Peter Sarnak (Princeton), and Juan Seoane
(Kent). We anticipate several other speakers, and we also invite
participants to offer talks at this meeting. In addition, there
will be a concert on Friday evening featuring performances of
piano and vocal music composed by Vladimir.
It will be a great help to the organizers if people could
let us know of their intended participation. With thanks and best
wishes,
Richard Aron (aron at math.kent.edu), Joe Diestel
(j_diestel at hotmail.com), Per Enflo (enflo at math.kent.edu), Victor
Lomonosov (lomonoso at math.kent.edu), Andrew Tonge
(tonge at math.kent.edu), and Artem Zvavitch
(zvavitch at math.kent.edu).
_______________________________________________
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From alspach at www.math.okstate.edu Tue Jan 31 19:05:45 2006
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Date: Tue, 31 Jan 2006 19:05:44 -0600 (CST)
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200602010105.k1115iAo002140 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Pavel Shvartsman
Status: R
This is an announcement for the paper "On extensions of Sobolev
functions defined on regular subsets of metric measure spaces"
by Pavel Shvartsman.
Abstract: We characterize the restrictions of first order Sobolev
functions to regular subsets of a homogeneous metric space and prove
the existence of the corresponding linear extension operator.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46E35
The source file(s), SobolevExtension.tex: 96827 bytes, is(are)
stored in gzipped form as 0601679.gz with size 18kb. The corresponding
postcript file has gzipped size 80kb.
Submitted from: pshv at math.technion.ac.il
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URL
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From alspach at www.math.okstate.edu Tue Jan 31 19:06:42 2006
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Date: Tue, 31 Jan 2006 19:06:41 -0600 (CST)
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200602010106.k1116feT002173 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, Christian Le Merdy and Quanhua Xu
Status: R
This is an announcement for the paper "$H^{\infty}$ functional
calculus and square functions on noncommutative $L^p$-spaces" by
Marius Junge, Christian Le Merdy and Quanhua Xu.
Abstract: In this work we investigate semigroups of operators acting
on noncommutative $L^p$-spaces. We introduce noncommutative square
functions and their connection to sectoriality, variants of Rademacher
sectoriality, and $H^\infty$ functional calculus. We discuss several
examples of noncommutative diffusion semigroups. This includes
Schur multipliers, $q$-Ornstein-Uhlenbeck semigroups, and the
noncommutative Poisson semigroup on free groups.
Archive classification: Functional Analysis
Mathematics Subject Classification: Primary 47A60; Secondary 46L55,
46L69
Remarks: 118 pages
The source file(s), JLX.tex: 355560 bytes (looks big), is(are)
stored in gzipped form as 0601645.gz with size 94kb. The corresponding
postcript file has gzipped size 394kb.
Submitted from: qx at math.univ-fcomte.fr
The paper may be downloaded from the archive by web browser from
URL
http://front.math.ucdavis.edu/math.FA/0601645
or
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From alspach at www.math.okstate.edu Tue Jan 31 19:07:25 2006
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From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200602010107.k1117PJF002205 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Michel Talagrand
Status: R
This is an announcement for the paper "Maharam's problem" by Michel
Talagrand.
Abstract: We construct an exhaustive submeasure that is not equivalent
to a measure. This solves problems of J. von Neumann (1937) and
D. Maharam (1947).
Archive classification: Functional Analysis
Mathematics Subject Classification: 28A12
The source file(s), s1.TEX: 75873 bytes, is(are) stored in gzipped
form as 0601689.gz with size 23kb. The corresponding postcript file
has gzipped size 105kb.
Submitted from: spinglass at talagrand.net
The paper may be downloaded from the archive by web browser from
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From alspach at www.math.okstate.edu Thu Feb 2 16:22:24 2006
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From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200602022222.k12MMOrk099584 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by G. Androulakis and K. Beanland
Status: R
This is an announcement for the paper "A hereditarily indecomposable
asymptotic $\ell_2$ Banach space" by G. Androulakis and K. Beanland.
Abstract: A Hereditarily Indecomposable asymptotic $\ell_2$ Banach
space is constructed. The existence of such a space answers a
question of B. Maurey and verifies a conjecture of W.T. Gowers.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B20; 46B03
Remarks: 29 pages
The source file(s), HIHilbert.tex: 98830 bytes, is(are) stored in
gzipped form as 0601778.gz with size 25kb. The corresponding postcript
file has gzipped size 139kb.
Submitted from: kjbeanland at smcm.edu
The paper may be downloaded from the archive by web browser from
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From alspach at www.math.okstate.edu Thu Feb 23 07:14:06 2006
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Date: Thu, 23 Feb 2006 07:14:06 -0600 (CST)
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200602231314.k1NDE6Dn021360 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Bernhard Haak, Jan van Neerven and Mark Veraar
Status: R
This is an announcement for the paper "A stochastic Datko-Pazy
theorem" by Bernhard Haak, Jan van Neerven and Mark Veraar.
Abstract: Let $H$ be a Hilbert space and $E$ a Banach space. In
this note we present a sufficient condition for an operator $R:
H\to E$ to be $\ga$--radonifying in terms of Riesz sequences in
$H$. This result is applied to recover a result of Lutz Weis and
the second named author on the $R$-boundedness of resolvents, which
is used to obtain a Datko-Pazy type theorem for the stochastic
Cauchy problem. We also present some perturbation results.
Archive classification: Functional Analysis
Mathematics Subject Classification: 47D06; 28C20; 46B09; 46B15;
47N30
Remarks: 10 pages
The source file(s), Haak-vanNeerven-Veraar-arxiv.tex: 33344 bytes,
is(are) stored in gzipped form as 0602427.gz with size 10kb. The
corresponding postcript file has gzipped size 60kb.
Submitted from: bernhard.haak at math.uni-karlsruhe.de
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From alspach at www.math.okstate.edu Thu Feb 23 07:14:49 2006
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Date: Thu, 23 Feb 2006 07:14:49 -0600 (CST)
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200602231314.k1NDEnIr021392 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Olvido Delgado and Javier Soria
Status: R
This is an announcement for the paper "Optimal domain for the Hardy
operator" by Olvido Delgado and Javier Soria.
Abstract: We study the optimal domain for the Hardy operator
considered with values in a rearrangement invariant space. In
particular, this domain can be represented as the space of integrable
functions with respect to a vector measure defined on a $\delta$-ring.
A precise description is given for the case of the minimal Lorentz
spaces.
Archive classification: Functional Analysis; Classical Analysis and
ODEs
Mathematics Subject Classification: 46E30, 46B25
Remarks: 15 pages
The source file(s), DeSo.tex: 40756 bytes, is(are) stored in gzipped
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has gzipped size 66kb.
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From alspach at www.math.okstate.edu Mon Feb 27 07:11:29 2006
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From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200602271311.k1RDBTRv067008 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Boris Rubin
Status: R
This is an announcement for the paper "Generalized cosine transforms
and classes of star bodies" by Boris Rubin.
Abstract: The spherical Radon transform on the unit sphere can be
regarded as a member of the analytic family of suitably normalized
generalized cosine transforms. We derive new formulas for these
transforms and apply them to study classes of intersections bodies
in convex geometry.
Archive classification: Functional Analysis; Differential Geometry
Mathematics Subject Classification: 44A12
The source file(s), an_red.tex: 66611 bytes, is(are) stored in
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Submitted from: borisr at math.lsu.edu
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From alspach at www.math.okstate.edu Tue Feb 28 07:38:02 2006
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To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Wieslaw Kubis
Status: R
This is an announcement for the paper "Linearly ordered compacta
and Banach spaces with a projectional resolution of the identity"
by Wieslaw Kubis.
Abstract: We construct a compact linearly ordered space $K$ of
weight aleph one, such that the space $C(K)$ is not isomorphic to
a Banach space with a projectional resolution of the identity, while
on the other hand, $K$ is a continuous image of a Valdivia compact
and every separable subspace of $C(K)$ is contained in a 1-complemented
separable subspace. This answers two questions due to O. Kalenda
and V. Montesinos.
Archive classification: Functional Analysis; General Topology
Mathematics Subject Classification: Primary: 46B03, 46B26; Secondary:
54F05, 46E15, 54C35
Remarks: 13 pages
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Status: R
Banach space theory:
classical topics and new directions
4-8 September 2006 · Cáceres · Spain
http://www.banachspaces.com
A Satellite Conference of the International
Congress of Mathematicians, Madrid 2006
The conference aims to contemplate the topic of Banach spaces from an open
and broader point of view; so, in addition to classical Banach space
theory, related topics of active research have been included. The main
lines of the conference are:
· Structure and geometry of infinite dimensional Banach and quasi-Banach
spaces.
· Infinite dimensional topology.
· Asymptotic geometric analysis.
· Categorical and homological methods.
· Applications of descriptive set theory.
PROGRAM
During the mornings there will take place the invited lectures
MAIN SPEAKERS
S. Argyros, National Technical University, Athens, Greece.
K. Ball, University College London, London, UK.
J. Bastero, Universidad de Zaragoza, Zaragoza, Spain.
F. Bombal, Universidad Complutense, Madrid, Spain.
G. Godefroy, Université Paris 6, Paris, France.
N.J. Kalton, University of Missouri, Columbia (Missouri), USA.
V. Milman, University of Tel Aviv, Tel Aviv, Israel.
A. Naor, Microsoft Research, Redmond (Washington), USA.
J. Orihuela, Universidad de Murcia, Murcia, Spain.
A. Rodríguez-Palacios, Universidad de Granada, Granada, Spain.
S. Szarek, Case Western Reserve University, Cleveland (Ohio), USA. E.
Odell, University of Texas, Austin (Texas), USA.
M. Valdivia, Universidad de Valencia, Valencia, Spain.
SCIENTIFIC COMMITTEE
J.M.F. Castillo, Universidad de Extremadura, Badajoz, Spain (Coordinator).
W.B. Johnson, Texas A&M University, U.S.A.
J. Lindenstrauss, Hebrew University, Jerusalem, Israel.
B. Maurey, Université Paris 7, France.
A. Pajor, Université de Marne-la-Vallée, France.
A. Pelczynski, Polish Academy of Sciences, Warsawa, Poland.
D. Preiss, University College, London, England.
N. Tomczak-Jaegermann, University of Alberta, Canada.
CONTRIBUTED TALKS
During the evenings there will be sessions of contributed talks of 15-30
min. People willing to deliver a talk are kindly encouraged to send a
message to the organization (banach at unex.es) or visit the web site of
the conference (http://www.banachspaces.com) and click the icon
contributed talks. The deadline for submission of abstracts is 31 May 2006.
THEMATIC SESSIONS
There is the possibility to group contributed talks in thematic sessions.
People interested in organizing such sessions please send a proposal to
the coordinator (castillo at unex.es).
PLACE
The conference will take place in Cáceres, in the Complejo Cultural S.
Francisco. The old town of Cáceres has been declared by the Unesco part
of the World Heritage (at the home-page of the conference there is a link
to perform a virtual tour). Cáceres is well connected with Madrid by
either bus or train. The Complejo S. Francisco is an old palace of XIV
siecle entirely reformed and kindly leased by the Diputación de Cáceres
for this meeting. Information and pictures of the palace can be seen at
the home-page of the conference.
REGISTRATION. There will be a registration fee of 100 EURO (150 EURO after
15 May 2006), with a reduced fee of 50 EURO for students. Click the icon
registration at http://www.banachspaces.com to see the different
possibilities of payment.
ACCOMMODATION. There is the possibility of housing at the Residence Diego
Muñoz Torrero, placed in front of the Complejo S. Francisco, site of the
conference. The price of is 30 EURO per day and person in a double room.
There is also a combined offer registration fee + accommodation at the
Residence + breakfast + lunch (not dinner) during all the Conference for a
total of 300 EURO.
CONTACT
Departamento de Matemáticas,
Universidad de Extremadura,
Avda de Elvas s/n,
06071-Badajoz
Spain
Phone: +34 924 289 563
Fax: +34 924 272 911
e-mail: banach at unex.es
ORGANIZATION
Javier Alonso, Patricia Arjona, Francisco Arranz, Manolo Báez, Carlos
Benítez, Félix Cabello Sánchez, Carmen Calvo, Jesús M.F. Castillo, Rosa
Díez, Manuel Fernández García-Hierro, Juan Antonio García, Ricardo García,
Germán Giraldez, Eva López, Pedro Martín, Francisco Montalvo, Yolanda
Moreno, Mª Angeles Mulero, Antonio Oyola, Carmen Ortiz, Paloma Pérez,
Antonio Pulgarín, Mª Luisa Soriano, Jesús Suárez, Antonio Ullán, Diego
Yáñez.
PREVIOUS CONFERENCES
Since 1996, the Department of Mathematics of the University of
Extremadura organizes the even years a Banach space conference in either
Badajoz or Cáceres. The proceedings of Conferences I-IV have appeared in
Extracta Mathematicae, and can be found in the journal web-site
http://unex.es/extracta/extracta.html. The proceedings of the V Conference
will be published by the Cambridge University Press as a volume in the
Lecture Notes Series of the London Mathematical Society. All information
about the V Conference (Cáceres 2004) and its proceedings can be found at
the web-site
http://www.banachspaces.com/banach04/
--
Banach space theory: classical topics & new directions
Caceres, 4-8 September 2006
_______________________________________________
Banach mailing list
Banach at math.okstate.edu
http://mail.math.okstate.edu/mailman/listinfo/banach
From alspach at www.math.okstate.edu Tue Mar 7 21:29:56 2006
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Date: Tue, 7 Mar 2006 21:29:56 -0600 (CST)
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200603080329.k283Tu6A033390 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. Odell, Th. Schlumprecht, and A. Zsak
Status: R
This is an announcement for the paper "On the structure of asymptotic
l_p spaces" by E. Odell, Th. Schlumprecht, and A. Zsak.
Abstract: We prove that if X is a separable, reflexive space which
is asymptotic l_p, then X embeds into a reflexive space Z having
an asymptotic l_p finite-dimensional decomposition. This result
leads to an intrinsic characterization of subspaces of spaces with
an asymptotic l_p FDD. More general results of this type are also
obtained.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B20
Remarks: 32 pages
The source file(s), asymptotic-ell-p.tex: 108321 bytes, is(are)
stored in gzipped form as 0603063.gz with size 30kb. The corresponding
postcript file has gzipped size 143kb.
Submitted from: a.zsak at dpmms.cam.ac.uk
The paper may be downloaded from the archive by web browser from
URL
http://front.math.ucdavis.edu/math.FA/0603063
or
http://arXiv.org/abs/math.FA/0603063
or by email in unzipped form by transmitting an empty message with
subject line
uget 0603063
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From alspach at www.math.okstate.edu Thu Mar 9 07:15:53 2006
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Date: Thu, 9 Mar 2006 07:15:53 -0600 (CST)
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200603091315.k29DFrMp084782 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
Status: R
This is an announcement for the paper "A Banach space dichotomy for
quotients of subspaces" by Valentin Ferenczi.
Abstract: A Banach space $X$ with a Schauder basis is defined to
have the restricted quotient hereditarily indecomposable (QHI)
property if $X/Y$ is hereditarily indecomposable (HI) for any
infinite codimensional subspace $Y$ with a successive finite-dimensional
decomposition on the basis of $X$. A reflexive space with the
restricted QHI property is in particular HI, has HI dual, and is
saturated with subspaces which are HI and have HI dual.
The following dichotomy theorem is proved: any infinite dimensional
Banach space contains a quotient of subspace which either has an
unconditional basis, or has the restricted QHI property.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B03, 46B10
Remarks: 25 pages
The source file(s), dichotomyferenczi0306.tex: 67293 bytes, is(are)
stored in gzipped form as 0603188.gz with size 20kb. The corresponding
postcript file has gzipped size 78kb.
Submitted from: ferenczi at ccr.jussieu.fr
The paper may be downloaded from the archive by web browser from
URL
http://front.math.ucdavis.edu/math.FA/0603188
or
http://arXiv.org/abs/math.FA/0603188
or by email in unzipped form by transmitting an empty message with
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uget 0603188
or in gzipped form by using subject line
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From banach-bounces at math.okstate.edu Wed Mar 15 07:38:35 2006
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From: J R Partington <pmt6jrp at maths.leeds.ac.uk>
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Subject: [Banach] LMS meeting and workshop in functional analysis
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Status: R
LMS Northern Regional Meeting and Workshop in Functional Analysis
There will be a Meeting of the London Mathematical Society at the
University of Leeds, UK on Monday 3rd July 2006, at which the speakers
will be:
Uffe Haagerup (Odense) and Nigel Kalton (Missouri).
This is to be followed by a workshop on functional analysis, the theme
being "bounded and unbounded operators on Banach and Hilbert spaces".
Haagerup and Kalton will give further talks, and additional speakers
include:
Michel Crouzeix (Rennes), Ken Davidson (Waterloo), Alexander Helemskii
(Moscow), Thomas Ransford (Laval and Oxford), Thomas Schlumprecht
(Texas A&M), Hanne Schultz (Odense), Steen Thorbjoernsen (Odense), and
Lutz Weis (Karlsruhe).
For full details and instructions how to register for the meeting,
see
http://www.maths.leeds.ac.uk/pure/analysis/lms/
Jonathan R. Partington
j.r.partington at leeds.ac.uk
_______________________________________________
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From alspach at www.math.okstate.edu Wed Mar 15 07:45:14 2006
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Date: Wed, 15 Mar 2006 07:45:14 -0600 (CST)
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200603151345.k2FDjEQT053854 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
Status: R
This is an announcement for the paper "Still more on norms of
completely positive maps" by Stanislaw J. Szarek.
Abstract: King and Ruskai asked whether the norm of a completely
positive map acting between Schatten classes of operators is equal
to that of its restriction to the real subspace of self-adjoint
operators. Proofs have been promptly supplied by Watrous and
Audenaert. Here we provide one more proof, in fact of a slightly
more general fact, under the (slightly weaker) assumption of
2-positivity. The argument is elementary and self-contained.
Archive classification: Quantum Physics; Functional Analysis
Remarks: 2 pages
Submitted from: szarek at cwru.edu
The paper may be downloaded from the archive by web browser from
URL
http://front.math.ucdavis.edu/quant-ph/0603110
or
http://arXiv.org/abs/quant-ph/0603110
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From alspach at www.math.okstate.edu Tue Mar 21 09:29:40 2006
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Date: Tue, 21 Mar 2006 09:29:40 -0600 (CST)
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200603211529.k2LFTeAf018124 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Emanuel Milman
Status: R
This is an announcement for the paper "A remark on two duality
relations" by Emanuel Milman.
Abstract: We remark that an easy combination of two known results
yields a positive answer, up to log(n) terms, to a duality conjecture
that goes back to Pietsch. In particular, we show that for any two
symmetric convex bodies K,T in R^n, denoting by N(K,T) the minimal
number of translates of T needed to cover K, one has:
N(K,T) <= N(T*,(C log(n))^{-1} K*)^{C log(n) loglog(n)}, where
K*,T* are the polar bodies to K,T, respectively, and C > 1 is a
universal constant. As a corollary, we observe a new duality result
(up to log(n) terms) for Talagrand's \gamma_p functionals.
Archive classification: Functional Analysis; Metric Geometry
Remarks: 13 pages
The source file(s), Duality-Of-Entropy.bbl: 4703 bytes,
Duality-Of-Entropy.tex: 31314 bytes, is(are) stored in gzipped form
as 0603461.tar.gz with size 12kb. The corresponding postcript file
has gzipped size 60kb.
Submitted from: emanuel.milman at weizmann.ac.il
The paper may be downloaded from the archive by web browser from
URL
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or
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From banach-bounces at math.okstate.edu Thu Mar 23 13:42:09 2006
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Date: Thu, 23 Mar 2006 11:17:15 -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 Analysis and Probability
Department of Mathematics
Texas A&M University
Summer 2006
The Summer 2006 session of the Workshop in Linear Analysis and
Probability at Texas A&M University will be in session from July 10
until August 11. For information about the Workshop, consult the Workshop
Home Page, URL
http://www.math.tamu.edu/research/workshops/linanalysis/
The Informal Regional Functional Analysis Seminar (SUMIRFAS) will be held
August 4-6.
Sanjeev Aurora <arora at CS.Princeton.EDU>, Moses Charikar
<moses at CS.Princeton.EDU>, Bill Johnson <johnson at math.tamu.edu>, Nati
Linial <nati at cs.huji.ac.il>, and Assaf Naor <anaor at microsoft.com> are
organizing a Concentration Week on "Metric Geometry and Geometric
Embeddings of Discrete Metric Spaces" that will take place July 17-22.
The purpose of the Concentration Week is to bring together researchers in
Computer Science, Analysis, and Geometric Group Theory who are interested
in various aspects of metric geometry in the expectation that interaction
among experts, students, and post docs in the various areas will be
fruitful. The first day will be devoted to introductory talks designed to
introduce non experts to the subject.
Pete Casazza <pete at math.missouri.edu>, David Larson
<larson at math.tamu.edu>, Gestur Olafsson <olafsson at math.lsu.edu>, and
Thomas Schlumprecht <schlump at math.tamu.edu> are organizing a Concentration
Week on "Frames, Banach spaces and Signal Processing" that will take place
August 7 - August 11. The purpose of the Concentration Week is to bring
researchers in Frame and Wavelet theory / Signal and Image processing
together with researchers in Banach space theory to generate a
"cross-fertilization" of areas.
The Workshop is supported in part by grants from the National Science
Foundation (NSF). Minorities, women, graduate students, and young
researchers are especially encouraged to attend.
For logistical support, including requests for support, please contact
Cara Barton <cara 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 on "Metric Geometry and
Geometric Embeddings of Discrete Metric Spaces", contact Bill Johnson
<johnson at math.tamu.edu>.
For information about the Concentration Week on "Frames, Banach spaces and
Signal Processing" contact David Larson <larson at math.tamu.edu> or Thomas
Schlumprecht <schlump at math.tamu.edu>.
_______________________________________________
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From alspach at www.math.okstate.edu Tue Mar 28 09:06:24 2006
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Date: Tue, 28 Mar 2006 09:06:24 -0600 (CST)
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200603281506.k2SF6OUj057571 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 and Rafael Villa
Status: R
This is an announcement for the paper "A lower bound for the
equilateral number of normed spaces" by Konrad J Swanepoel and
Rafael Villa.
Abstract: We show that if the Banach-Mazur distance between an
n-dimensional normed space X and ell infinity is at most 3/2, then
there exist n+1 equidistant points in X. By a well-known result of
Alon and Milman, this implies that an arbitrary n-dimensional normed
space admits at least e^{c sqrt(log n)} equidistant points, where
c>0 is an absolute constant. We also show that there exist n
equidistant points in spaces sufficiently close to n-dimensional
ell p (1 < p < infinity).
Archive classification: Metric Geometry; Functional Analysis
Mathematics Subject Classification: 46B04 (Primary); 46B20, 52A21,
52C17 (Secondary)
Remarks: 5 pages
The source file(s), equilateral-lower3.tex: 14633 bytes, is(are)
stored in gzipped form as 0603614.gz with size 5kb. The corresponding
postcript file has gzipped size 39kb.
Submitted from: swanekj at unisa.ac.za
The paper may be downloaded from the archive by web browser from
URL
http://front.math.ucdavis.edu/math.MG/0603614
or
http://arXiv.org/abs/math.MG/0603614
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From alspach at www.math.okstate.edu Wed Apr 5 13:44:24 2006
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From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200604051844.k35IiOV7026070 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Olivier Guedon and Mark Rudelson
Status: R
This is an announcement for the paper "L_p moments of random vectors
via majorizing measures" by Olivier Guedon and Mark Rudelson.
Abstract: For a random vector X in R^n, we obtain bounds on the
size of a sample, for which the empirical p-th moments of linear
functionals are close to the exact ones uniformly on an n-dimensional
convex body K. We prove an estimate for a general random vector and
apply it to several problems arising in geometric functional analysis.
In particular, we find a short Lewis type decomposition for any
finite dimensional subspace of L_p. We also prove that for an
isotropic log-concave random vector, we only need about n^{p/2}
\log n sample points so that the empirical p-th moments of the
linear functionals are almost isometrically the same as the exact
ones. We obtain a concentration estimate for the empirical moments.
The main ingredient of the proof is the construction of an appropriate
majorizing measure to bound a certain Gaussian process.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B09, 52A21
Remarks: 32 pages, to appear in Advances in Mathematics
The source file(s), ADVgr06-03-15.tex: 71461 bytes, is(are) stored
in gzipped form as 0507023.gz with size 21kb. The corresponding
postcript file has gzipped size 108kb.
Submitted from: rudelson at math.missouri.edu
The paper may be downloaded from the archive by web browser from
URL
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or
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From alspach at www.math.okstate.edu Thu Apr 6 10:25:04 2006
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Date: Thu, 6 Apr 2006 10:25:04 -0500 (CDT)
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200604061525.k36FP46P036862 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Vladimir Kadets, Miguel Martin, and Javier Meri
Status: R
This is an announcement for the paper "Norm equalities for operators"
by Vladimir Kadets, Miguel Martin, and Javier Meri.
Abstract: A Banach space $X$ has the Daugavet property if the
Daugavet equation $\|\Id + T\|= 1 + \|T\|$ holds for every rank-one
operator $T:X \longrightarrow X$. We show that the most natural
attempts to introduce new properties by considering other norm
equalities for operators (like $\|g(T)\|=f(\|T\|)$ for some functions
$f$ and $g$) lead in fact to the Daugavet property of the space.
On the other hand there are equations (for example $\|\Id + T\|=
\|\Id - T\|$) that lead to new, strictly weaker properties of Banach
spaces.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B20
Remarks: 21 pages
The source file(s), KadMarMer.tex: 56515 bytes, is(are) stored in
gzipped form as 0604102.gz with size 17kb. The corresponding postcript
file has gzipped size 87kb.
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/0604102
or
http://arXiv.org/abs/math.FA/0604102
or by email in unzipped form by transmitting an empty message with
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From alspach at www.math.okstate.edu Mon Apr 17 09:42:11 2006
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Message-Id: <200604171442.k3HEgAN5069366 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Apostolos Giannopoulos, Alain Pajor, and Grigoris Paouris
Status: R
This is an announcement for the paper "A note on subgaussian estimates
for linear functionals on convex bodies" by Apostolos Giannopoulos,
Alain Pajor, and Grigoris Paouris.
Abstract: We give an alternative proof of a recent result of Klartag
on the existence of almost subgaussian linear functionals on convex
bodies. If $K$ is a convex body in ${\mathbb R}^n$ with volume one
and center of mass at the origin, there exists $x\neq 0$ such that
$$|\{ y\in K:\,|\langle y,x\rangle |\gr t\|\langle\cdot
,x\rangle\|_1\}|\ls\exp (-ct^2/\log^2(t+1))$$ for all $t\gr 1$,
where $c>0$ is an absolute constant. The proof is based on the study
of the $L_q$--centroid bodies of $K$. Analogous results hold true
for general log-concave measures.
Archive classification: Functional Analysis; Metric Geometry
Mathematics Subject Classification: 46B07, 52A20
Remarks: 10 pages
The source file(s), subgaussian.tex: 24859 bytes, is(are) stored
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Submitted from: apgiannop at math.uoa.gr
The paper may be downloaded from the archive by web browser from
URL
http://front.math.ucdavis.edu/math.FA/0604299
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http://arXiv.org/abs/math.FA/0604299
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From alspach at www.math.okstate.edu Mon Apr 17 09:43:45 2006
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Date: Mon, 17 Apr 2006 09:43:45 -0500 (CDT)
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200604171443.k3HEhjVg069401 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 "Beyond Hirsch Conjecture:
walks on random polytopes and smoothed complexity of the simplex
method" by Roman Vershynin.
Abstract: The smoothed analysis of algorithms is concerned with the
expected running time of an algorithm under slight random perturbations
of arbitrary inputs. Spielman and Teng proved that the shadow-vertex
simplex method had polynomial smoothed complexity. On a slight
random perturbation of arbitrary linear program, the simplex method
finds the solution after a walk on polytope(s) with expected length
polynomial in the number of constraints n, the number of variables
d and the inverse standard deviation of the perturbation 1/sigma.
We show that the length of walk in the simplex method is actually
polylogarithmic in the number of constraints n. Spielman-Teng's
bound on the walk was O(n^{86} d^{55} sigma^{-30}), up to logarithmic
factors. We improve this to O(min(d^5 log^2(n), d^9 log^4(d), d^3
sigma^{-4})). This shows that the tight Hirsch conjecture n-d on
the the length of walk on polytopes is not a limitation for the
smoothed Linear Programming. Random perturbations create short paths
between vertices.
We propose a randomized phase-I for solving arbitrary linear
programs. Instead of finding a vertex of a feasible set, we add a
vertex at random to the feasible set. This does not affect the
solution of the linear program with constant probability. So, in
expectation it takes a constant number of independent trials until
a correct solution is found. This overcomes one of the major
difficulties of smoothed analysis of the simplex method -- one can
now statistically decouple the walk from the smoothed linear program.
This yields a much better reduction of the smoothed complexity to
a geometric quantity -- the size of planar sections of random
polytopes. We also improve upon the known estimates for that size.
Archive classification: Data Structures and Algorithms; Functional
Analysis
Remarks: 17 pages
Submitted from: vershynin at math.ucdavis.edu
The paper may be downloaded from the archive by web browser from
URL
http://arXiv.org/abs/cs.DS/0604055
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http://front.math.ucdavis.edu/cs.DS/0604055
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From alspach at www.math.okstate.edu Fri Apr 21 07:52:17 2006
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Date: Fri, 21 Apr 2006 07:52:17 -0500 (CDT)
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200604211252.k3LCqHEW016756 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Shiri Artstein, Vitali D. Milman and Yaron Ostrover
Status: R
This is an announcement for the paper "The M-ellipsoid, symplectic
capacities and volume" by Shiri Artstein, Vitali D. Milman and Yaron
Ostrover.
Abstract: In this work we bring together tools and ideology from
two different fields, Symplectic Geometry and Asymptotic Geometric
Analysis, to arrive at some new results. Our main result is a
dimension-independent bound for the symplectic capacity of a convex
body by its volume radius.
Archive classification: Symplectic Geometry; Functional Analysis
Mathematics Subject Classification: 53D05; 53C15; 46B07; 52A20;
46B20
The source file(s), CapMil2006Apr19.tex: 34307 bytes, is(are) stored
in gzipped form as 0604434.gz with size 12kb. The corresponding
postcript file has gzipped size 61kb.
Submitted from: artstein at math.princeton.edu
The paper may be downloaded from the archive by web browser from
URL
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or
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From alspach at www.math.okstate.edu Mon Apr 24 12:23:43 2006
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Date: Mon, 24 Apr 2006 12:23:42 -0500 (CDT)
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200604241723.k3OHNglK052995 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by M. Mirzavaziri and M. S. Moslehian
Status: R
This is an announcement for the paper "Orthogonal constant mappings
in isosceles orthogonal spaces" by M. Mirzavaziri and M. S. Moslehian.
Abstract: In this paper we introduce the notion of orthogonally
constant mapping in an isosceles orthogonal space and establish
stability of orthogonally constant mappings. As an application, we
discuss the orthogonal stability of the Pexiderized quadratic
equation $f(x+y)+g(x+y)=h(x)+k(y)$.
Archive classification: Classical Analysis and ODEs; Functional
Analysis
Mathematics Subject Classification: 39B55; 39B82; 39B52
Remarks: 7 pages, to appear in Kragujevac Math. J
The source file(s), OrtCons_final.tex: 15092 bytes, is(are) stored
in gzipped form as 0604463.gz with size 5kb. The corresponding
postcript file has gzipped size 40kb.
Submitted from: moslehian at ferdowsi.um.ac.ir
The paper may be downloaded from the archive by web browser from
URL
http://front.math.ucdavis.edu/math.CA/0604463
or
http://arXiv.org/abs/math.CA/0604463
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From alspach at www.math.okstate.edu Tue Apr 25 10:54:51 2006
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From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200604251554.k3PFspDt064632 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 "Rosenthal's theorem for
subspaces of noncommutative Lp" by Marius Junge and Javier Parcet.
Abstract: We show that a reflexive subspace of the predual of a von
Neumann algebra embeds into a noncommutative Lp space for some p>1.
This is a noncommutative version of Rosenthal's result for commutative
Lp spaces. Similarly for 1 < q < 2, an infinite dimensional subspace
X of a noncommutative Lq space either contains lq or embeds in Lp
for some q < p < 2. The novelty in the noncommutative setting is a
double sided change of density.
Archive classification: Functional Analysis; Operator Algebras
Remarks: 34 pages
The source file(s), Rosenthal.tex: 103990 bytes, is(are) stored in
gzipped form as 0604510.gz with size 30kb. The corresponding postcript
file has gzipped size 144kb.
Submitted from: jparcet at crm.es
The paper may be downloaded from the archive by web browser from
URL
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From alspach at www.math.okstate.edu Fri Apr 28 08:23:54 2006
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Date: Fri, 28 Apr 2006 08:23:53 -0500 (CDT)
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200604281323.k3SDNrEj006525 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Boaz Klartag and Emanuel Milman
Status: R
This is an announcement for the paper "On volume distribution in
2-convex bodies" by Boaz Klartag and Emanuel Milman.
Abstract: We consider convex sets whose modulus of convexity is
uniformly quadratic. First, we observe several interesting relations
between different positions of such ``2-convex'' bodies; in particular,
the isotropic position is a finite volume-ratio position for these
bodies. Second, we prove that high dimensional 2-convex bodies
posses one-dimensional marginals that are approximately Gaussian.
Third, we improve for 1<p<=2 some bounds on the isotropic constant
of quotients of subspaces of L_p and S_p^m, the Schatten Class
space.
Archive classification: Functional Analysis; Metric Geometry
Remarks: 27 pages
The source file(s), 2-Convex-Bodies.bbl: 7979 bytes, 2-Convex-Bodies.tex:
70706 bytes, is(are) stored in gzipped form as 0604594.tar.gz with
size 24kb. The corresponding postcript file has gzipped size 104kb.
Submitted from: emanuel.milman at weizmann.ac.il
The paper may be downloaded from the archive by web browser from
URL
http://front.math.ucdavis.edu/math.FA/0604594
or
http://arXiv.org/abs/math.FA/0604594
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From alspach at www.math.okstate.edu Fri Apr 28 08:25:05 2006
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Date: Fri, 28 Apr 2006 08:25:05 -0500 (CDT)
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200604281325.k3SDP5Bh006575 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Emanuel Milman
Status: R
This is an announcement for the paper "On Gaussian marginals of
uniformly convex bodies" by Emanuel Milman.
Abstract: We show that many uniformly convex bodies have Gaussian
marginals in most directions in a strong sense, which takes into
account the tails of the distributions. These include uniformly
convex bodies with power type 2, and power type p>2 with some
additional type condition. In particular, all unit-balls of subspaces
of L_p for 1<p<\infty have Gaussian marginals in this strong sense.
Using the weaker Kolmogorov metric, we can extend our results to
arbitrary uniformly convex bodies with power type p, for 2<=p<4.
These results are obtained by putting the bodies in (surprisingly)
non-isotropic positions and by a new concentration of volume
observation for uniformly convex bodies.
Archive classification: Functional Analysis; Metric Geometry;
Probability
Remarks: 21 pages
The source file(s), Gaussian-Marginals.bbl: 5089 bytes,
Gaussian-Marginals.tex: 76495 bytes, is(are) stored in gzipped form
as 0604595.tar.gz with size 24kb. The corresponding postcript file
has gzipped size 93kb.
Submitted from: emanuel.milman at weizmann.ac.il
The paper may be downloaded from the archive by web browser from
URL
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From alspach at www.math.okstate.edu Wed May 3 11:28:57 2006
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Date: Wed, 3 May 2006 11:28:57 -0500 (CDT)
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200605031628.k43GSvJl014416 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Kusraev A.G. and Kutateladze S.S
Status: R
This is an announcement for the paper "Boolean methods in the theory
of vector lattices" by Kusraev A.G. and Kutateladze S.S.
Abstract: This is an overview of the recent results of interaction
of Boolean valued analysis and vector lattice theory.
Archive classification: Functional Analysis; Operator Algebras
Mathematics Subject Classification: 46 A 40
The source file(s), methods.lat: 131684 bytes, is(are) stored in
gzipped form as 0605030.gz with size 38kb. The corresponding postcript
file has gzipped size 123kb.
Submitted from: sskut at member.ams.org
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From banach-bounces at math.okstate.edu Fri May 12 08:06:13 2006
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Date: Thu, 11 May 2006 16:17:05 -0400
From: Artem Zvavitch <zvavitch at math.kent.edu>
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Subject: [Banach] CBMS conference on A Probabalistic and Combinatorial
Approach in Analysis (second announcement)
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Status: R
Dear Friends,
This is the second announcement for the CBMS conference on
'A Probabilistic and Combinatorial Approach in Analysis', with
Professor Mark Rudelson from the University of Missouri as the main
speaker. The conference will be held at the Department of Mathematical
Sciences of Kent State University in August 6-10 2006, followed by the
conference on Analysis and Applications in August 11-12.
We hope that you will be able to participate. Please, let us know as
soon as possible if you are interested in attending. Please also find
more information below:
1)With CBMS funding we will be able to cover the local expenses for
most of the participants. We NEED to know if you wish to have a
dormitory room. We hasten to mention that the dormitory is
brand-spanking new, modern and, we expect, comfortable as well as
conveniently located near to the site of the lectures.
Please, let us know as soon as possible if you would prefer to stay in a
hotel or need any other special housing arrangements. (This may require
additional payment towards the housing costs.)
2) We NEED to know your travel arrangements; in particular, when are you
arriving, by what means are you traveling and, if by air, PLEASE furnish
us with complete details. The nearest airports are Cleveland Hopkins
Airport (CLE) or Akron Canton Regional Airport (CAK). We wish to be
sure to have someone at the correct airport to meet and greet you, take
you to Kent, check you into your domicile, and help you settle in.
3) Along with this information we'll NEED to know how long you will be
with us. Mark Rudelson's lectures are scheduled from August 6 at 11:00AM
until August 10 at 4pm. You may check in to your room as early as August
5. On August 11-12 we will have additional lectures by participants and
we welcome all of you to submit an abstract and title via e-mail as soon
as possible.
The check-out date for the dormitory rooms is August 13.
4) Please note that that breakfast and lunch will be provided by the
conference, and we will send you a list of additional fun events and
excitements in Kent and Cleveland soon.
5) All this information will be also provided on
http://www.math.kent.edu/math/CBMS.cfm
or, please contact Artem Zvavitch (zvavitch at math.kent.edu) for more
information.
Best Regards,
Richard Aron, Joe Diestel, Per Enflo, Victor Lomonosov, Andrew Tonge,
and Artem Zvavitch
_______________________________________________
Banach mailing list
Banach at math.okstate.edu
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From: Dale Alspach <alspach at www.math.okstate.edu>
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To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Pandelis Dodos and Valentin Ferenczi
Status: R
This is an announcement for the paper "Some strongly bounded classes
of Banach spaces" by Pandelis Dodos and Valentin Ferenczi.
Abstract: We show that the classes of separable reflexive Banach
spaces and of spaces with separable dual are strongly bounded. This
gives a new proof of a recent result of E. Odell and Th. Schlumprecht,
asserting that there exists a separable reflexive Banach space
containing isomorphic copies of every separable uniformly convex
Banach spaces.
Archive classification: Functional Analysis
Mathematics Subject Classification: 03E15; 46B03
Remarks: 10 pages
The source file(s), DFversion18.tex: 27085 bytes, is(are) stored
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Submitted from: ferenczi at ccr.jussieu.fr
The paper may be downloaded from the archive by web browser from
URL
http://front.math.ucdavis.edu/math.FA/0605475
or
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From alspach at www.math.okstate.edu Thu Jun 1 18:09:40 2006
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Date: Thu, 1 Jun 2006 18:09:40 -0500 (CDT)
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200606012309.k51N9eK3051050 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.V. Konyagin and L. Vesely
Status: R
This is an announcement for the paper "Decomposable quadratic forms
in Banach spaces" by S.V. Konyagin and L. Vesely.
Abstract: A continuous quadratic form on a real Banach space $X$
is called {\em decomposable} if it is the difference of two nonnegative
(i.e., positively semidefinite) continuous quadratic forms. We prove
that if $X$ belongs to a certain class of superreflexive Banach
spaces, including all $L_p(\mu)$ spaces with $2\le p<\infty$, then
each continuous quadratic form on $X$ is decomposable. On the other
hand, on each infinite-dimensional $L_1(\mu)$ space there exists a
continuous quadratic form $q$ that is not delta-convex (i.e., $q$
is not representable as difference of two continuous convex functions);
in particular, $q$ is not decomposable. Related results concerning
delta-convexity are proved and some open problems are stated.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B99 (Primary) 52A41, 15A63
(Secondary)
Remarks: 11 pages
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Submitted from: Libor.Vesely at mat.unimi.it
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URL
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From alspach at www.math.okstate.edu Thu Jun 1 18:11:00 2006
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Date: Thu, 1 Jun 2006 18:11:00 -0500 (CDT)
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200606012311.k51NB082051095 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Vladimir Kadets, Miguel Martin, and Rafael Paya
Status: R
This is an announcement for the paper "Recent progress and open
questions on the numerical index of Banach spaces" by Vladimir
Kadets, Miguel Martin, and Rafael Paya .
Abstract: The aim of this paper is to review the state-of-the-art
of recent research concerning the numerical index of Banach spaces,
by presenting some of the results found in the last years and
proposing a number of related open problems.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B20, 47A12
Remarks: 27 pages, 4 figures, to appear in RACSAM
The source file(s), KaMaPa.tex: 98692 bytes, adp.eps: 35617 bytes,
dp.eps: 34093 bytes, lush.eps: 26434 bytes, norm.eps: 11837 bytes,
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Submitted from: mmartins at ugr.es
The paper may be downloaded from the archive by web browser from
URL
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From alspach at www.math.okstate.edu Sat Jun 3 16:39:18 2006
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Date: Sat, 3 Jun 2006 16:39:18 -0500 (CDT)
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200606032139.k53LdI1O073655 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Oliver Dragicevic, Stefanie Petermichl, and Alexander Volberg
Status: R
This is an announcement for the paper "Sharp estimates of martingale
transforms in higher dimensions and applications to the Ahlfors-Beurling
operator" by Oliver Dragicevic, Stefanie Petermichl, and Alexander
Volberg.
Abstract: The main aspiration of this note is to construct several
different Haar-type systems in euclidean spaces of higher dimensions
and prove sharp Lp bounds for the corresponding martingale transforms.
In dimension one this was a result of Burkholder. The motivation
for working in this direction is the search for Lp estimates of the
Ahlfors-Beurling operator.
Archive classification: Functional Analysis
Remarks: 41 pages, 12 figures
The source file(s), Fbeds.tex: 100688 bytes, is(are) stored in
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file has gzipped size 121kb.
Submitted from: oliver.dragicevic at fmf.uni-lj.si
The paper may be downloaded from the archive by web browser from
URL
http://front.math.ucdavis.edu/math.FA/0606006
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http://arXiv.org/abs/math.FA/0606006
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From alspach at www.math.okstate.edu Sat Jun 3 16:41:51 2006
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Date: Sat, 3 Jun 2006 16:41:51 -0500 (CDT)
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200606032141.k53LfpkK073703 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Zsolt Pales and Vera Zeidan
Status: R
This is an announcement for the paper "Generalized Jacobian for
functions with infinite dimensional range and domain" by Zsolt
P\'ales and Vera Zeidan.
Abstract: In this paper, locally Lipschitz functions acting between
infinite dimensional normed spaces are considered. When the range
is a dual space and satisfies the Radon--Nikod\'ym property, Clarke's
generalized Jacobian will be extended to this setting. Characterization
and fundamental properties of the extended generalized Jacobian are
established including the nonemptiness, the $\beta$-compactness,
the $\beta$-upper semicontinuity, and a mean-value theorem. A
connection with known notions is provided and chain rules are proved
using key results developed. This included the vectorization and
restriction theorem, and the extension theorem. Therefore, the
generalized Jacobian introduced in this paper is proved to enjoy
all the properties required of a derivative like-set.
Archive classification: Functional Analysis
Mathematics Subject Classification: 49J52
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Submitted from: zeidan at math.msu.edu
The paper may be downloaded from the archive by web browser from
URL
http://front.math.ucdavis.edu/math.FA/0605771
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From alspach at www.math.okstate.edu Wed Jun 7 08:44:37 2006
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Date: Wed, 7 Jun 2006 08:44:37 -0500 (CDT)
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200606071344.k57DibpQ017902 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Eugene Ostrovsky and Leonid Sirota
Status: R
This is an announcement for the paper "Some new moment rearrangement
invariant spaces; theory and applications" by Eugene Ostrovsky and
Leonid Sirota.
Abstract: In this article we introduce and investigate some new
Banach spaces, so - called moment spaces, and consider applications
to the Fourier series, singular integral operators, theory of
martingales.
Archive classification: Functional Analysis
Mathematics Subject Classification: Primary (1991) 37B30,33K55
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Submitted from: leos at post.sce.ac.il
The paper may be downloaded from the archive by web browser from
URL
http://front.math.ucdavis.edu/math.FA/0605732
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From alspach at www.math.okstate.edu Wed Jun 14 06:41:32 2006
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Date: Wed, 14 Jun 2006 06:41:32 -0500 (CDT)
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200606141141.k5EBfWU2089222 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Mathieu Meyer and Shlomo Reisner
Status: R
This is an announcement for the paper "Shadow systems and volume
of polar convex bodies" by Mathieu Meyer and Shlomo Reisner.
Abstract: We prove that the reciprocal of the volume of the polar
bodies, about the Santal\'o point, of a {\em shadow system\/} of
convex bodies $K_t$, is a convex function of $t$. Thus extending
to the non-symmetric case a result of Campi and Gronchi. The case
that the reciprocal of the volume is an affine function of $t$ is
also investigated and is characterized under certain conditions.
We apply these results to prove exact reverse Santal\'o inequality
for polytopes in $\rd{d}$ that have at most $d+3$ vertices.
Archive classification: Functional Analysis
Remarks: to appear in Mathematika
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URL
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From alspach at www.math.okstate.edu Wed Jun 14 06:42:34 2006
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Date: Wed, 14 Jun 2006 06:42:34 -0500 (CDT)
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200606141142.k5EBgYhx089253 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. J. Dilworth, E. Odell, Th. Schlumprecht, and Andras Zsak
Status: R
This is an announcement for the paper "Coefficient quantization in
Banach spaces" by S. J. Dilworth, E. Odell, Th. Schlumprecht, and
Andras Zsak.
Abstract: Let (e_i) be a dictionary for a separable Banach space
X. We consider the problem of approximation by linear combinations
of dictionary elements with quantized coefficients drawn usually
from a `finite alphabet'. We investigate several approximation
properties of this type and connect them to the Banach space geometry
of X. The existence of a total minimal system with one of these
properties, namely the coefficient quantization property, is shown
to be equivalent to X containing c_0.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B20; 41A65
Remarks: LaTeX, 28 pages
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Subject: [Banach] Banach space theory - Last announcement
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Status: R
Dear colleague,
this is the last announcement of the Satellite conference of the world
congress ICM2006:
Banach space theory: classical topics and new directions
http://www.banachspaces.com
The conference aim is to contemplate the topic of Banach spaces from an
open and broader point of view; so, in addition to classical Banach space
theory, related topics of active research have been included. There will
be a special session on Polynomials on Banach spaces organized by R. Aron,
D. García and M. Maestre. The main lines of the conference can thus be
described as:
·Structure and geometry of infinite dimensional Banach and quasi-Banach
spaces
·Infinite dimensional topology
·Asymptotic geometric analysis
·Categorical and homological methods
·Applications of descriptive set theory
·Polynomials on Banach spaces
The list of main speakers includes so far:
S. Argyros, National Technical University, Athens, Greece
J. Bastero, Universidad de Zaragoza, Zaragoza, Spain
F. Bombal, Universidad Complutense, Madrid, Spain
G. Godefroy, Université Paris 6, Paris, France
N.J. Kalton, University of Missouri, Columbia (Missouri), USA
J. Lindenstrauss, The Hebrew University of Jerusalem, Jerusalem, Israel
V. Milman, University of Tel Aviv, Tel Aviv, Israel
A. Naor, Microsoft Research, Redmond (Washington), USA
J. Orihuela, Universidad de Murcia, Murcia, Spain
A. Rodríguez-Palacios, Universidad de Granada, Granada, Spain
S. Szarek, Case Western Reserve University, Cleveland (Ohio), USA
E. Odell, University of Texas, Austin (Texas), USA
M. Valdivia, Universidad de Valencia, Valencia, Spain
General information about the conference
Place.
The conference will take place in Cáceres, in the Complejo Cultural San
Francisco, from 4 to 8 September, 2006.
Registration.
The ordinary registration fee is 100 EUR. For students, there is a reduced
fee of 50 EUR. There is also a combined offer that includes catering and
accommodation. See Combined offer to read about it.
Catering.
You are offered the possibility of getting a ticket that allows you to
have breakfast and lunch (not dinner) from 4 to 8 September. Price is 80
EUR. There is also a combined offer that includes registration fee and
accommodation. See Combined offer to read about it.
Accommodation.
There is the possibility of housing at the Residence Diego Muñoz Torrero,
placed in front of the site of the conference. Price is 30 EUR per day and
person in double room. There is also a combined offer that includes
registration fee and catering. See Combined offer to read about it. Of
course, you can choose to look for your own accommodation. A list of some
hotels appears in the conference web-site.
Combined offer.
You can choose a combined offer registration that includes: registration
fee, accommodation at the Residence Diego Muñoz Torrero, and catering
(breakfast and lunch, not dinner) during the conference, for a total of
300 EUR.
Invited lectures.
It is intended that in the mornings there will take place the invited
lectures by the main speakers.
Contributed talks.
In the evenings, there will be sessions of contributed talks of 15-30 min.
People willing to deliver a talk are encouraged to send an abstract using
the proper form at the web site. Deadline for submission of abstracts is
July 15, 2006.
Thematic sessions.
There is the possibility to group contributed talks in thematic sessions.
People interested in organizing such sessions should send a proposal to
the contact address of the organization.
Proceedings.
The proceedings of the conference shall be published in the journal
Extracta Mathematicae. The deadline for submissin of abstracts is 21
December 2006.
History of Banach Space Conferences.
Since 1996, the Department of Mathematics of the University of Extremadura
organizes, at even years, a Banach Spaces conferece in either Badajoz or
Cáceres. The proceedings of Conferences I-IV have appeared in Extracta
Mathematicae and can be found at
http://www.unex.es/extracta/extracta.html.
The proceedings of the V Conference will be published by the Cambridge
University Press as a volume in the Lecture Notes Series of the London
Mathematical Society. All the information about the V Conference (Cáceres,
2004) and its proceedings can be found at
http://www.banachspaces.com/banach04
Scientific Committee
• W.B. Johnson, Texas A&M University, College Station (Texas), USA
• J. Lindenstrauss, The Hebrew University of Jerusalem, Jerusalem, Israel
• B. Maurey, Université Paris 7, Paris, France
• A. Pajor, Université de Marne-la-Vallée, Marne-la-Vallée, France
• A. Pelczynski, Polish Academy of Sciences, Warsawa, Poland
• D. Preiss, University College London, London, UK
• N. Tomczak-Jaegermann, University of Alberta, Edmonton (Alberta), Canada
• J.M.F. Castillo, Universidad de Extremadura, Badajoz, Spain
--
Banach space theory:
classical topics & new directions
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From alspach at www.math.okstate.edu Fri Jun 23 06:48:41 2006
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Date: Fri, 23 Jun 2006 06:48:41 -0500 (CDT)
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200606231148.k5NBmfLv092048 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Michael Cwikel and Svante Janson
Status: R
This is an announcement for the paper "Complex interpolation of
compact operators mapping into the couple (FL^{\infty},FL_{1}^{\infty})"
by Michael Cwikel and Svante Janson.
Abstract: If (A_0,A_1) and (B_0,B_1) are Banach couples and a linear
operator T from A_0 + A_1 to B_0 + B_1 maps A_0 compactly into B_0
and maps A_1 boundedly into B_1, does T necessarily also map
[A_0,A_1]_s compactly into [B_0,B_1]_s for s in (0,1)?
After 42 years this question is still not answered, not even in
the case where T is also compact from A_1 to B_1. But affirmative
answers are known for many special choices of (A_0,A_1) and (B_0,B_1).
Furthermore it is known that it would suffice to resolve this
question in the special case where (B_0,B_1) is the special couple
(l^\infty(FL^\infty), l^\infty(FL^\infty_1)). Here FL^\infty is the
space of all sequences which are Fourier coefficients of bounded
functions, FL^\infty_1 is the weighted space of all sequences (a_n)
such that (e^n a_n) is in FL^\infty, and thus B_0 and B_1 are the
spaces of bounded sequences of elements in these spaces (i.e., they
are spaces of doubly indexed sequences).
We provide an affirmative answer to this question in the related
but simpler case where (B_0,B_1) is the special couple
(FL^\infty,FL^\infty_1).
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B70
Remarks: 21 pages
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Submitted from: svante.janson at math.uu.se
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From alspach at www.math.okstate.edu Mon Jul 10 11:13:40 2006
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Date: Mon, 10 Jul 2006 11:13:40 -0500 (CDT)
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200607101613.k6AGDewP083488 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Jorge Galindo
Status: R
This is an announcement for the paper "On unitary representability
of topological groups" by Jorge Galindo.
Abstract: We prove that the additive group $(E^\ast,\tau_k(E))$ of
an $\mathscr{L}_\infty$-Banach space $E$, with the topology $\tau_k(E)$
of uniform convergence on compact subsets of $E$, is topologically
isomorphic to a subgroup of the unitary group of some Hilbert space
(is \emph{unitarily representable}). This is the same as proving
that the topological group $(E^\ast,\tau_k(E))$ is uniformly
homeomorphic to a subset of $\ell_2^\kappa$ for some $\kappa$.
As an immediate consequence, preduals of commutative von Neumann
algebras or duals of commutative $C^\ast$-algebras are unitarily
representable in the topology of uniform convergence on compact
subsets. The unitary representability of free locally convex spaces
(and thus of free Abelian topological groups) on compact spaces,
follows as well.
The above facts cannot be extended to noncommutative von Neumann
algebras or general Schwartz spaces.
Archive classification: General Topology; Functional Analysis
Mathematics Subject Classification: 43A35; 46A99; 22A10
Remarks: 11 pages
The source file(s), unitfreejunio2006.tex: 39726 bytes, is(are)
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Submitted from: jgalindo at mat.uji.es
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http://arXiv.org/abs/math.GN/0607193
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From alspach at www.math.okstate.edu Tue Jul 11 14:44:42 2006
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Date: Tue, 11 Jul 2006 14:44:42 -0500 (CDT)
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200607111944.k6BJig0B095971 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 "Composite cosine transforms"
by E. Ournycheva and B. Rubin.
Abstract: The cosine transforms of functions on the unit sphere
play an important role in convex geometry, the Banach space theory,
stochastic geometry and other areas. Their higher-rank generalization
to Grassmann manifolds represents an interesting mathematical object
useful for applications. We introduce more general integral transforms
that reveal distinctive features of higher-rank objects in full
generality. We call these new transforms the composite cosine
transforms, by taking into account that their kernels agree with
the composite power function of the cone of positive definite
symmetric matrices. We show that injectivity of the composite cosine
transforms can be studied using standard tools of the Fourier
analysis on matrix spaces. In the framework of this approach, we
introduce associated generalized zeta integrals and give new simple
proofs to the relevant functional relations. Our technique is based
on application of the higher-rank Radon transform on matrix spaces.
Archive classification: Functional Analysis
Mathematics Subject Classification: Primary 42B10; Secondary 52A22
Remarks: 15 pages
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Submitted from: ournyche at math.kent.edu
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From banach-bounces at math.okstate.edu Thu Jul 13 16:23:17 2006
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