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
Return-Path: <alspach at www.math.okstate.edu>
Received: from www.math.okstate.edu (localhost.math.okstate.edu [127.0.0.1])
by www.math.okstate.edu (8.13.3/8.13.3) with ESMTP id k09COVBU001310;
Mon, 9 Jan 2006 06:24:31 -0600 (CST)
(envelope-from alspach at www.math.okstate.edu)
Received: (from alspach at localhost)
by www.math.okstate.edu (8.13.3/8.13.3/Submit) id k09COVdu001309;
Mon, 9 Jan 2006 06:24:31 -0600 (CST)
(envelope-from alspach)
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
or
http://arXiv.org/abs/math.FA/0601112
or by email in unzipped form by transmitting an empty message with
subject line
uget 0601112
or in gzipped form by using subject line
get 0601112
to: math at arXiv.org.
From alspach at www.math.okstate.edu Sun Jan 15 17:25:30 2006
Return-Path: <alspach at www.math.okstate.edu>
Received: from www.math.okstate.edu (localhost.math.okstate.edu [127.0.0.1])
by www.math.okstate.edu (8.13.3/8.13.3) with ESMTP id k0FNPUCr035129;
Sun, 15 Jan 2006 17:25:30 -0600 (CST)
(envelope-from alspach at www.math.okstate.edu)
Received: (from alspach at localhost)
by www.math.okstate.edu (8.13.3/8.13.3/Submit) id k0FNPUld035128;
Sun, 15 Jan 2006 17:25:30 -0600 (CST)
(envelope-from alspach)
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
or
http://arXiv.org/abs/math.MG/0601205
or by email in unzipped form by transmitting an empty message with
subject line
uget 0601205
or in gzipped form by using subject line
get 0601205
to: math at arXiv.org.
From alspach at www.math.okstate.edu Tue Jan 17 07:15:32 2006
Return-Path: <alspach at www.math.okstate.edu>
Received: from www.math.okstate.edu (localhost.math.okstate.edu [127.0.0.1])
by www.math.okstate.edu (8.13.3/8.13.3) with ESMTP id k0HDFW9W054876;
Tue, 17 Jan 2006 07:15:32 -0600 (CST)
(envelope-from alspach at www.math.okstate.edu)
Received: (from alspach at localhost)
by www.math.okstate.edu (8.13.3/8.13.3/Submit) id k0HDFWGK054875;
Tue, 17 Jan 2006 07:15:32 -0600 (CST)
(envelope-from alspach)
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
or
http://arXiv.org/abs/math.FA/0601369
or by email in unzipped form by transmitting an empty message with
subject line
uget 0601369
or in gzipped form by using subject line
get 0601369
to: math at arXiv.org.
From banach-bounces at math.okstate.edu Wed Jan 18 10:13:37 2006
Return-Path: <banach-bounces at math.okstate.edu>
Received: from mail.math.okstate.edu (mail.math.okstate.edu [139.78.112.5])
by www.math.okstate.edu (8.13.3/8.13.3) with ESMTP id k0IGDbr4067643
for <alspach at www.math.okstate.edu>; Wed, 18 Jan 2006 10:13:37 -0600 (CST)
(envelope-from banach-bounces at math.okstate.edu)
Received: from mail.math.okstate.edu (localhost [127.0.0.1])
by mail.math.okstate.edu (Postfix) with ESMTP id B9D053F74E;
Wed, 18 Jan 2006 10:13:37 -0600 (CST)
Received: from mail.math.okstate.edu (localhost [127.0.0.1])
by mail.math.okstate.edu (Postfix) with ESMTP id 4F10C3F728;
Wed, 18 Jan 2006 10:13:37 -0600 (CST)
X-Original-To: banach at math.okstate.edu
Delivered-To: banach at math.okstate.edu
Received: from mail.math.okstate.edu (localhost [127.0.0.1])
by mail.math.okstate.edu (Postfix) with ESMTP id 6A9D83F738
for <banach at math.okstate.edu>; Wed, 18 Jan 2006 08:29:04 -0600 (CST)
Received: from narya.memphis.edu (narya.memphis.edu [141.225.252.107])
by mail.math.okstate.edu (Postfix) with ESMTP id 440C73F6F2
for <banach at math.okstate.edu>; Wed, 18 Jan 2006 08:29:04 -0600 (CST)
Received: from memphis.edu (gelion34.memphis.edu [141.225.225.130])
by narya.memphis.edu (8.12.10/8.12.10) with ESMTP id k0ICCJu4002279;
Wed, 18 Jan 2006 06:12:21 -0600 (CST)
Message-ID: <43CE4C25.B9A48BC1 at memphis.edu>
Date: Wed, 18 Jan 2006 06:09:41 -0800
From: George Anastassiou <ganastss at memphis.edu>
X-Mailer: Mozilla 4.79 [en] (Win98; U)
X-Accept-Language: en,el
MIME-Version: 1.0
To: ganastss <ganastss at memphis.edu>, at-net-dl <at-net-dl at uni-giessen.de>,
rgmia <rgmia at lists.vu.edu.au>, bulletin <bulletin at queue.korea.ac.kr>,
banach <banach at math.okstate.edu>, anna <anna at eureka.vu.edu.au>,
rgmia-request <rgmia-request at lists.vu.edu.au>,
dynsys <dynsys at listserv.unc.edu>, helfrich <helfrich at siam.org>,
"na.digest" <na.digest at na-net.ornl.gov>
X-Virus-Scanned: ClamAV using ClamSMTP
X-Mailman-Approved-At: Wed, 18 Jan 2006 10:13:35 -0600
Subject: [Banach] JOURNALS CALLING FOR PAPERS
X-BeenThere: banach at math.okstate.edu
X-Mailman-Version: 2.1.7
Precedence: list
List-Id: Banach Space Theory News <banach.math.okstate.edu>
List-Unsubscribe: <http://mail.math.okstate.edu/mailman/listinfo/banach>,
<mailto:banach-request at math.okstate.edu?subject=unsubscribe>
List-Archive: <http://mail.math.okstate.edu/pipermail/banach>
List-Post: <mailto:banach at math.okstate.edu>
List-Help: <mailto:banach-request at math.okstate.edu?subject=help>
List-Subscribe: <http://mail.math.okstate.edu/mailman/listinfo/banach>,
<mailto:banach-request at math.okstate.edu?subject=subscribe>
Content-Type: text/plain; charset="us-ascii"
Content-Transfer-Encoding: 7bit
Sender: banach-bounces at math.okstate.edu
Errors-To: banach-bounces at math.okstate.edu
X-Virus-Scanned: ClamAV using ClamSMTP
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.
Springer Consultant-Editor in computational math books
Birkhauser Consultant Editor in A.M.Sci.
CRC-A.M. Advisor
NOVA MATH books ADVISOR
EUDOXUS PRESS LLC PRESIDENT
anastasg at msci.memphis.edu
ganastss at memphis.edu
http://www.EudoxusPress.com
http://www.msci.memphis.edu/~ganastss/jocaaa
http://www.msci.memphis.edu/~ganastss/jcaam
http://www.msci.memphis.edu/~ganastss/jafa
tel:(INT 001)- 901-678-3144 office
901-751-3553 home
901-678-2482 secr.
Fax: 901-678-2480
_______________________________________________
Banach mailing list
Banach at math.okstate.edu
http://mail.math.okstate.edu/mailman/listinfo/banach
From alspach at www.math.okstate.edu Tue Jan 24 08:51:02 2006
Return-Path: <alspach at www.math.okstate.edu>
Received: from www.math.okstate.edu (localhost.math.okstate.edu [127.0.0.1])
by www.math.okstate.edu (8.13.3/8.13.3) with ESMTP id k0OEp175071324;
Tue, 24 Jan 2006 08:51:01 -0600 (CST)
(envelope-from alspach at www.math.okstate.edu)
Received: (from alspach at localhost)
by www.math.okstate.edu (8.13.3/8.13.3/Submit) id k0OEp1b8071323;
Tue, 24 Jan 2006 08:51:01 -0600 (CST)
(envelope-from alspach)
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
URL
http://front.math.ucdavis.edu/math.FA/0601542
or
http://arXiv.org/abs/math.FA/0601542
or by email in unzipped form by transmitting an empty message with
subject line
uget 0601542
or in gzipped form by using subject line
get 0601542
to: math at arXiv.org.
From alspach at www.math.okstate.edu Tue Jan 24 08:52:16 2006
Return-Path: <alspach at www.math.okstate.edu>
Received: from www.math.okstate.edu (localhost.math.okstate.edu [127.0.0.1])
by www.math.okstate.edu (8.13.3/8.13.3) with ESMTP id k0OEqGjB071358;
Tue, 24 Jan 2006 08:52:16 -0600 (CST)
(envelope-from alspach at www.math.okstate.edu)
Received: (from alspach at localhost)
by www.math.okstate.edu (8.13.3/8.13.3/Submit) id k0OEqGIB071357;
Tue, 24 Jan 2006 08:52:16 -0600 (CST)
(envelope-from alspach)
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
The paper may be downloaded from the archive by web browser from
URL
http://front.math.ucdavis.edu/math.FA/0601556
or
http://arXiv.org/abs/math.FA/0601556
or by email in unzipped form by transmitting an empty message with
subject line
uget 0601556
or in gzipped form by using subject line
get 0601556
to: math at arXiv.org.
From banach-bounces at math.okstate.edu Wed Jan 25 08:34:23 2006
Return-Path: <banach-bounces at math.okstate.edu>
Received: from mail.math.okstate.edu (mail.math.okstate.edu [139.78.112.5])
by www.math.okstate.edu (8.13.3/8.13.3) with ESMTP id k0PEYNlR083213
for <alspach at www.math.okstate.edu>; Wed, 25 Jan 2006 08:34:23 -0600 (CST)
(envelope-from banach-bounces at math.okstate.edu)
Received: from mail.math.okstate.edu (localhost [127.0.0.1])
by mail.math.okstate.edu (Postfix) with ESMTP id 7FE463F739;
Wed, 25 Jan 2006 08:34:23 -0600 (CST)
Received: from mail.math.okstate.edu (localhost [127.0.0.1])
by mail.math.okstate.edu (Postfix) with ESMTP id 19E0E3F6C5;
Wed, 25 Jan 2006 08:34:23 -0600 (CST)
X-Original-To: banach at mail.math.okstate.edu
Delivered-To: banach at mail.math.okstate.edu
Received: from mail.math.okstate.edu (localhost [127.0.0.1])
by mail.math.okstate.edu (Postfix) with ESMTP id 2F4353F6A5
for <banach at mail.math.okstate.edu>;
Wed, 25 Jan 2006 08:34:21 -0600 (CST)
Received: from ms417l.math.okstate.edu (ms417l.math.okstate.edu
[139.78.112.67])
(using TLSv1 with cipher DHE-RSA-AES256-SHA (256/256 bits))
(No client certificate requested)
by mail.math.okstate.edu (Postfix) with ESMTP id E9C123F685
for <banach at mail.math.okstate.edu>;
Wed, 25 Jan 2006 08:34:20 -0600 (CST)
Received: from ms417l.math.okstate.edu (ms417l.math.okstate.edu [127.0.0.1])
by ms417l.math.okstate.edu (8.13.1/8.13.1) with ESMTP id k0PEYKkm029796
for <banach>; Wed, 25 Jan 2006 08:34:20 -0600
Message-Id: <200601251434.k0PEYKkm029796 at ms417l.math.okstate.edu>
X-Mailer: exmh version 2.7.2 01/07/2005 with nmh-1.1-RC3
To: banach at math.okstate.edu
Mime-Version: 1.0
Date: Wed, 25 Jan 2006 08:34:20 -0600
From: Dale Alspach <alspach at math.okstate.edu>
X-Virus-Scanned: ClamAV using ClamSMTP
Subject: [Banach] Conference to Celebrate the Life and Work of Vladimir
Gurariy
X-BeenThere: banach at math.okstate.edu
X-Mailman-Version: 2.1.7
Precedence: list
List-Id: Banach Space Theory News <banach.math.okstate.edu>
List-Unsubscribe: <http://mail.math.okstate.edu/mailman/listinfo/banach>,
<mailto:banach-request at math.okstate.edu?subject=unsubscribe>
List-Archive: <http://mail.math.okstate.edu/pipermail/banach>
List-Post: <mailto:banach at math.okstate.edu>
List-Help: <mailto:banach-request at math.okstate.edu?subject=help>
List-Subscribe: <http://mail.math.okstate.edu/mailman/listinfo/banach>,
<mailto:banach-request at math.okstate.edu?subject=subscribe>
Content-Type: text/plain; charset="us-ascii"
Content-Transfer-Encoding: 7bit
Sender: banach-bounces at math.okstate.edu
Errors-To: banach-bounces at math.okstate.edu
X-Virus-Scanned: ClamAV using ClamSMTP
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).
_______________________________________________
Banach mailing list
Banach at math.okstate.edu
http://mail.math.okstate.edu/mailman/listinfo/banach
From alspach at www.math.okstate.edu Tue Jan 31 19:05:45 2006
Return-Path: <alspach at www.math.okstate.edu>
Received: from www.math.okstate.edu (localhost.math.okstate.edu [127.0.0.1])
by www.math.okstate.edu (8.13.3/8.13.3) with ESMTP id k1115iwR002141;
Tue, 31 Jan 2006 19:05:44 -0600 (CST)
(envelope-from alspach at www.math.okstate.edu)
Received: (from alspach at localhost)
by www.math.okstate.edu (8.13.3/8.13.3/Submit) id k1115iAo002140;
Tue, 31 Jan 2006 19:05:44 -0600 (CST)
(envelope-from alspach)
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
The paper may be downloaded from the archive by web browser from
URL
http://front.math.ucdavis.edu/math.FA/0601679
or
http://arXiv.org/abs/math.FA/0601679
or by email in unzipped form by transmitting an empty message with
subject line
uget 0601679
or in gzipped form by using subject line
get 0601679
to: math at arXiv.org.
From alspach at www.math.okstate.edu Tue Jan 31 19:06:42 2006
Return-Path: <alspach at www.math.okstate.edu>
Received: from www.math.okstate.edu (localhost.math.okstate.edu [127.0.0.1])
by www.math.okstate.edu (8.13.3/8.13.3) with ESMTP id k1116f2U002174;
Tue, 31 Jan 2006 19:06:41 -0600 (CST)
(envelope-from alspach at www.math.okstate.edu)
Received: (from alspach at localhost)
by www.math.okstate.edu (8.13.3/8.13.3/Submit) id k1116feT002173;
Tue, 31 Jan 2006 19:06:41 -0600 (CST)
(envelope-from alspach)
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
http://arXiv.org/abs/math.FA/0601645
or by email in unzipped form by transmitting an empty message with
subject line
uget 0601645
or in gzipped form by using subject line
get 0601645
to: math at arXiv.org.
From alspach at www.math.okstate.edu Tue Jan 31 19:07:25 2006
Return-Path: <alspach at www.math.okstate.edu>
Received: from www.math.okstate.edu (localhost.math.okstate.edu [127.0.0.1])
by www.math.okstate.edu (8.13.3/8.13.3) with ESMTP id k1117PHj002206;
Tue, 31 Jan 2006 19:07:25 -0600 (CST)
(envelope-from alspach at www.math.okstate.edu)
Received: (from alspach at localhost)
by www.math.okstate.edu (8.13.3/8.13.3/Submit) id k1117PJF002205;
Tue, 31 Jan 2006 19:07:25 -0600 (CST)
(envelope-from alspach)
Date: Tue, 31 Jan 2006 19:07:25 -0600 (CST)
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
URL
http://front.math.ucdavis.edu/math.FA/0601689
or
http://arXiv.org/abs/math.FA/0601689
or by email in unzipped form by transmitting an empty message with
subject line
uget 0601689
or in gzipped form by using subject line
get 0601689
to: math at arXiv.org.
From alspach at www.math.okstate.edu Thu Feb 2 16:22:24 2006
Return-Path: <alspach at www.math.okstate.edu>
Received: from www.math.okstate.edu (localhost.math.okstate.edu [127.0.0.1])
by www.math.okstate.edu (8.13.3/8.13.3) with ESMTP id k12MMO27099585;
Thu, 2 Feb 2006 16:22:24 -0600 (CST)
(envelope-from alspach at www.math.okstate.edu)
Received: (from alspach at localhost)
by www.math.okstate.edu (8.13.3/8.13.3/Submit) id k12MMOrk099584;
Thu, 2 Feb 2006 16:22:24 -0600 (CST)
(envelope-from alspach)
Date: Thu, 2 Feb 2006 16:22:24 -0600 (CST)
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
URL
http://front.math.ucdavis.edu/math.FA/0601778
or
http://arXiv.org/abs/math.FA/0601778
or by email in unzipped form by transmitting an empty message with
subject line
uget 0601778
or in gzipped form by using subject line
get 0601778
to: math at arXiv.org.
From alspach at www.math.okstate.edu Thu Feb 23 07:14:06 2006
Return-Path: <alspach at www.math.okstate.edu>
Received: from www.math.okstate.edu (localhost.math.okstate.edu [127.0.0.1])
by www.math.okstate.edu (8.13.3/8.13.3) with ESMTP id k1NDE6lV021361;
Thu, 23 Feb 2006 07:14:06 -0600 (CST)
(envelope-from alspach at www.math.okstate.edu)
Received: (from alspach at localhost)
by www.math.okstate.edu (8.13.3/8.13.3/Submit) id k1NDE6Dn021360;
Thu, 23 Feb 2006 07:14:06 -0600 (CST)
(envelope-from alspach)
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
The paper may be downloaded from the archive by web browser from
URL
http://front.math.ucdavis.edu/math.FA/0602427
or
http://arXiv.org/abs/math.FA/0602427
or by email in unzipped form by transmitting an empty message with
subject line
uget 0602427
or in gzipped form by using subject line
get 0602427
to: math at arXiv.org.
From alspach at www.math.okstate.edu Thu Feb 23 07:14:49 2006
Return-Path: <alspach at www.math.okstate.edu>
Received: from www.math.okstate.edu (localhost.math.okstate.edu [127.0.0.1])
by www.math.okstate.edu (8.13.3/8.13.3) with ESMTP id k1NDEnaF021393;
Thu, 23 Feb 2006 07:14:49 -0600 (CST)
(envelope-from alspach at www.math.okstate.edu)
Received: (from alspach at localhost)
by www.math.okstate.edu (8.13.3/8.13.3/Submit) id k1NDEnIr021392;
Thu, 23 Feb 2006 07:14:49 -0600 (CST)
(envelope-from alspach)
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
form as 0602426.gz with size 13kb. The corresponding postcript file
has gzipped size 66kb.
Submitted from: soria at ub.edu
The paper may be downloaded from the archive by web browser from
URL
http://front.math.ucdavis.edu/math.FA/0602426
or
http://arXiv.org/abs/math.FA/0602426
or by email in unzipped form by transmitting an empty message with
subject line
uget 0602426
or in gzipped form by using subject line
get 0602426
to: math at arXiv.org.
From alspach at www.math.okstate.edu Mon Feb 27 07:11:29 2006
Return-Path: <alspach at www.math.okstate.edu>
Received: from www.math.okstate.edu (localhost.math.okstate.edu [127.0.0.1])
by www.math.okstate.edu (8.13.3/8.13.3) with ESMTP id k1RDBTX4067009;
Mon, 27 Feb 2006 07:11:29 -0600 (CST)
(envelope-from alspach at www.math.okstate.edu)
Received: (from alspach at localhost)
by www.math.okstate.edu (8.13.3/8.13.3/Submit) id k1RDBTRv067008;
Mon, 27 Feb 2006 07:11:29 -0600 (CST)
(envelope-from alspach)
Date: Mon, 27 Feb 2006 07:11:29 -0600 (CST)
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
gzipped form as 0602540.gz with size 22kb. The corresponding postcript
file has gzipped size 100kb.
Submitted from: borisr at math.lsu.edu
The paper may be downloaded from the archive by web browser from
URL
http://front.math.ucdavis.edu/math.FA/0602540
or
http://arXiv.org/abs/math.FA/0602540
or by email in unzipped form by transmitting an empty message with
subject line
uget 0602540
or in gzipped form by using subject line
get 0602540
to: math at arXiv.org.
From alspach at www.math.okstate.edu Tue Feb 28 07:38:02 2006
Return-Path: <alspach at www.math.okstate.edu>
Received: from www.math.okstate.edu (localhost.math.okstate.edu [127.0.0.1])
by www.math.okstate.edu (8.13.3/8.13.3) with ESMTP id k1SDc2DZ087042;
Tue, 28 Feb 2006 07:38:02 -0600 (CST)
(envelope-from alspach at www.math.okstate.edu)
Received: (from alspach at localhost)
by www.math.okstate.edu (8.13.3/8.13.3/Submit) id k1SDc2qP087041;
Tue, 28 Feb 2006 07:38:02 -0600 (CST)
(envelope-from alspach)
Date: Tue, 28 Feb 2006 07:38:02 -0600 (CST)
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200602281338.k1SDc2qP087041 at www.math.okstate.edu>
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
The source file(s), cmplmntn_property6.tex: 45742 bytes, is(are)
stored in gzipped form as 0602628.gz with size 14kb. The corresponding
postcript file has gzipped size 66kb.
Submitted from: wkubis at pu.kielce.pl
The paper may be downloaded from the archive by web browser from
URL
http://front.math.ucdavis.edu/math.FA/0602628
or
http://arXiv.org/abs/math.FA/0602628
or by email in unzipped form by transmitting an empty message with
subject line
uget 0602628
or in gzipped form by using subject line
get 0602628
to: math at arXiv.org.
From banach-bounces at math.okstate.edu Thu Mar 2 08:05:28 2006
Return-Path: <banach-bounces at math.okstate.edu>
Received: from mail.math.okstate.edu (mail.math.okstate.edu [139.78.112.5])
by www.math.okstate.edu (8.13.3/8.13.3) with ESMTP id k22E5Svl082409
for <alspach at www.math.okstate.edu>; Thu, 2 Mar 2006 08:05:28 -0600 (CST)
(envelope-from banach-bounces at math.okstate.edu)
Received: from mail.math.okstate.edu (localhost [127.0.0.1])
by mail.math.okstate.edu (Postfix) with ESMTP id CDBB23F771;
Thu, 2 Mar 2006 08:05:27 -0600 (CST)
Received: from mail.math.okstate.edu (localhost [127.0.0.1])
by mail.math.okstate.edu (Postfix) with ESMTP id 613043F717;
Thu, 2 Mar 2006 08:05:27 -0600 (CST)
X-Original-To: banach at math.okstate.edu
Delivered-To: banach at math.okstate.edu
Received: from mail.math.okstate.edu (localhost [127.0.0.1])
by mail.math.okstate.edu (Postfix) with ESMTP id 8FD013F71B
for <banach at math.okstate.edu>; Thu, 2 Mar 2006 07:44:02 -0600 (CST)
Received: from pizarro.unex.es (pizarro.unex.es [158.49.8.2])
by mail.math.okstate.edu (Postfix) with ESMTP id 98DC03F717
for <banach at math.okstate.edu>; Thu, 2 Mar 2006 07:44:01 -0600 (CST)
Received: from localhost (almendralejo.unex.es [158.49.8.199])
by pizarro.unex.es (Postfix/MJ-1.08) with ESMTP id 82302D1258
for <banach at math.okstate.edu>; Thu, 2 Mar 2006 14:44:00 +0100 (CET)
Received: from pizarro.unex.es ([158.49.8.2])
by localhost (emilio [158.49.17.20]) (amavisd-new, port 10024)
with ESMTP id 01005-04 for <banach at math.okstate.edu>;
Thu, 2 Mar 2006 14:44:10 +0100 (CET)
Received: from guadiana.unex.es (guadiana.unex.es [158.49.17.23])
by pizarro.unex.es (Postfix/MJ-1.08) with ESMTP id 6AF6AD125C
for <banach at math.okstate.edu>; Thu, 2 Mar 2006 14:43:21 +0100 (CET)
Received: from cortes.unex.es ([158.49.17.25] helo=cartero ident=www-data)
by guadiana.unex.es with esmtp (Exim 3.35 #1 (Debian))
id 1FEo5R-0001tj-00
for <banach at math.okstate.edu>; Thu, 02 Mar 2006 14:43:21 +0100
Received: from 158.49.22.125 (SquirrelMail authenticated user fcabello)
by cartero with HTTP; Thu, 2 Mar 2006 14:49:28 +0100 (CET)
Message-ID: <1429.158.49.22.125.1141307368.squirrel at cartero>
Date: Thu, 2 Mar 2006 14:49:28 +0100 (CET)
From: =?iso-8859-1?Q?F=E9lix_Cabello_S=E1nchez?= <fcabello at unex.es>
To: banach at math.okstate.edu
User-Agent: SquirrelMail/1.4.4
MIME-Version: 1.0
X-Priority: 3 (Normal)
Importance: Normal
References:
In-Reply-To:
X-Virus-Scanned: by amavisd-new-20030616-p10 (Debian) at unex.es
X-Virus-Scanned: ClamAV using ClamSMTP
X-Mailman-Approved-At: Thu, 02 Mar 2006 08:05:26 -0600
Subject: [Banach] Conference on Banach space theory
X-BeenThere: banach at math.okstate.edu
X-Mailman-Version: 2.1.7
Precedence: list
List-Id: Banach Space Theory News <banach.math.okstate.edu>
List-Unsubscribe: <http://mail.math.okstate.edu/mailman/listinfo/banach>,
<mailto:banach-request at math.okstate.edu?subject=unsubscribe>
List-Archive: <http://mail.math.okstate.edu/pipermail/banach>
List-Post: <mailto:banach at math.okstate.edu>
List-Help: <mailto:banach-request at math.okstate.edu?subject=help>
List-Subscribe: <http://mail.math.okstate.edu/mailman/listinfo/banach>,
<mailto:banach-request at math.okstate.edu?subject=subscribe>
Content-Type: text/plain; charset="iso-8859-1"
Sender: banach-bounces at math.okstate.edu
Errors-To: banach-bounces at math.okstate.edu
X-Virus-Scanned: ClamAV using ClamSMTP
Content-Transfer-Encoding: 8bit
X-MIME-Autoconverted: from quoted-printable to 8bit by www.math.okstate.edu id k22E5Svl082409
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
Return-Path: <alspach at www.math.okstate.edu>
Received: from www.math.okstate.edu (localhost.math.okstate.edu [127.0.0.1])
by www.math.okstate.edu (8.13.3/8.13.3) with ESMTP id k283TuEC033391;
Tue, 7 Mar 2006 21:29:56 -0600 (CST)
(envelope-from alspach at www.math.okstate.edu)
Received: (from alspach at localhost)
by www.math.okstate.edu (8.13.3/8.13.3/Submit) id k283Tu6A033390;
Tue, 7 Mar 2006 21:29:56 -0600 (CST)
(envelope-from alspach)
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
or in gzipped form by using subject line
get 0603063
to: math at arXiv.org.
From alspach at www.math.okstate.edu Thu Mar 9 07:15:53 2006
Return-Path: <alspach at www.math.okstate.edu>
Received: from www.math.okstate.edu (localhost.math.okstate.edu [127.0.0.1])
by www.math.okstate.edu (8.13.3/8.13.3) with ESMTP id k29DFr7w084783;
Thu, 9 Mar 2006 07:15:53 -0600 (CST)
(envelope-from alspach at www.math.okstate.edu)
Received: (from alspach at localhost)
by www.math.okstate.edu (8.13.3/8.13.3/Submit) id k29DFrMp084782;
Thu, 9 Mar 2006 07:15:53 -0600 (CST)
(envelope-from alspach)
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
subject line
uget 0603188
or in gzipped form by using subject line
get 0603188
to: math at arXiv.org.
From banach-bounces at math.okstate.edu Wed Mar 15 07:38:35 2006
Return-Path: <banach-bounces at math.okstate.edu>
Received: from mail.math.okstate.edu (mail.math.okstate.edu [139.78.112.5])
by www.math.okstate.edu (8.13.3/8.13.3) with ESMTP id k2FDcZmj053757
for <alspach at www.math.okstate.edu>; Wed, 15 Mar 2006 07:38:35 -0600 (CST)
(envelope-from banach-bounces at math.okstate.edu)
Received: from mail.math.okstate.edu (localhost [127.0.0.1])
by mail.math.okstate.edu (Postfix) with ESMTP id 804C43F77D;
Wed, 15 Mar 2006 07:38:34 -0600 (CST)
Received: from mail.math.okstate.edu (localhost [127.0.0.1])
by mail.math.okstate.edu (Postfix) with ESMTP id 127AD3F729;
Wed, 15 Mar 2006 07:38:34 -0600 (CST)
X-Original-To: banach at math.okstate.edu
Delivered-To: banach at math.okstate.edu
Received: from mail.math.okstate.edu (localhost [127.0.0.1])
by mail.math.okstate.edu (Postfix) with ESMTP id 425663F754
for <banach at math.okstate.edu>; Wed, 15 Mar 2006 03:43:52 -0600 (CST)
Received: from amsta.leeds.ac.uk (amsta.leeds.ac.uk [129.11.36.1])
by mail.math.okstate.edu (Postfix) with ESMTP id DF76D3F73B
for <banach at math.okstate.edu>; Wed, 15 Mar 2006 03:43:51 -0600 (CST)
Received: from amsta.leeds.ac.uk (localhost [127.0.0.1])
by amsta.leeds.ac.uk (8.13.4/8.13.4) with ESMTP id k2F9g8Wo018907
for <banach at math.okstate.edu>; Wed, 15 Mar 2006 09:42:10 GMT
Received: (from pmt6jrp at localhost)
by amsta.leeds.ac.uk (8.13.4/8.13.4/Submit) id k2F9g88F018905
for banach at math.okstate.edu; Wed, 15 Mar 2006 09:42:08 GMT
From: J R Partington <pmt6jrp at maths.leeds.ac.uk>
Message-Id: <200603150942.k2F9g88F018905 at amsta.leeds.ac.uk>
To: banach at math.okstate.edu
Date: Wed, 15 Mar 2006 09:42:08 +0000 (GMT)
X-Mailer: ELM [version 2.5 PL2]
MIME-Version: 1.0
X-Virus-Scanned: ClamAV using ClamSMTP
X-Mailman-Approved-At: Wed, 15 Mar 2006 07:38:32 -0600
Subject: [Banach] LMS meeting and workshop in functional analysis
X-BeenThere: banach at math.okstate.edu
X-Mailman-Version: 2.1.7
Precedence: list
Reply-To: J.R.Partington at leeds.ac.uk
List-Id: Banach Space Theory News <banach.math.okstate.edu>
List-Unsubscribe: <http://mail.math.okstate.edu/mailman/listinfo/banach>,
<mailto:banach-request at math.okstate.edu?subject=unsubscribe>
List-Archive: <http://mail.math.okstate.edu/pipermail/banach>
List-Post: <mailto:banach at math.okstate.edu>
List-Help: <mailto:banach-request at math.okstate.edu?subject=help>
List-Subscribe: <http://mail.math.okstate.edu/mailman/listinfo/banach>,
<mailto:banach-request at math.okstate.edu?subject=subscribe>
Content-Type: text/plain; charset="us-ascii"
Content-Transfer-Encoding: 7bit
Sender: banach-bounces at math.okstate.edu
Errors-To: banach-bounces at math.okstate.edu
X-Virus-Scanned: ClamAV using ClamSMTP
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
_______________________________________________
Banach mailing list
Banach at math.okstate.edu
http://mail.math.okstate.edu/mailman/listinfo/banach
From alspach at www.math.okstate.edu Wed Mar 15 07:45:14 2006
Return-Path: <alspach at www.math.okstate.edu>
Received: from www.math.okstate.edu (localhost.math.okstate.edu [127.0.0.1])
by www.math.okstate.edu (8.13.3/8.13.3) with ESMTP id k2FDjE8S053855;
Wed, 15 Mar 2006 07:45:14 -0600 (CST)
(envelope-from alspach at www.math.okstate.edu)
Received: (from alspach at localhost)
by www.math.okstate.edu (8.13.3/8.13.3/Submit) id k2FDjEQT053854;
Wed, 15 Mar 2006 07:45:14 -0600 (CST)
(envelope-from alspach)
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
or by email in unzipped form by transmitting an empty message with
subject line
uget /0603110
or in gzipped form by using subject line
get /0603110
to: math at arXiv.org.
From alspach at www.math.okstate.edu Tue Mar 21 09:29:40 2006
Return-Path: <alspach at www.math.okstate.edu>
Received: from www.math.okstate.edu (localhost.math.okstate.edu [127.0.0.1])
by www.math.okstate.edu (8.13.3/8.13.3) with ESMTP id k2LFTepp018125;
Tue, 21 Mar 2006 09:29:40 -0600 (CST)
(envelope-from alspach at www.math.okstate.edu)
Received: (from alspach at localhost)
by www.math.okstate.edu (8.13.3/8.13.3/Submit) id k2LFTeAf018124;
Tue, 21 Mar 2006 09:29:40 -0600 (CST)
(envelope-from alspach)
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
http://front.math.ucdavis.edu/math.FA/0603461
or
http://arXiv.org/abs/math.FA/0603461
or by email in unzipped form by transmitting an empty message with
subject line
uget 0603461
or in gzipped form by using subject line
get 0603461
to: math at arXiv.org.
From banach-bounces at math.okstate.edu Thu Mar 23 13:42:09 2006
Return-Path: <banach-bounces at math.okstate.edu>
Received: from mail.math.okstate.edu (mail.math.okstate.edu [139.78.112.5])
by www.math.okstate.edu (8.13.3/8.13.3) with ESMTP id k2NJg9li000595
for <alspach at www.math.okstate.edu>; Thu, 23 Mar 2006 13:42:09 -0600 (CST)
(envelope-from banach-bounces at math.okstate.edu)
Received: from mail.math.okstate.edu (localhost [127.0.0.1])
by mail.math.okstate.edu (Postfix) with ESMTP id 927C03F79C;
Thu, 23 Mar 2006 13:39:10 -0600 (CST)
Received: from mail.math.okstate.edu (localhost [127.0.0.1])
by mail.math.okstate.edu (Postfix) with ESMTP id 3460A3F782;
Thu, 23 Mar 2006 13:39:10 -0600 (CST)
X-Original-To: banach at math.okstate.edu
Delivered-To: banach at math.okstate.edu
Received: from mail.math.okstate.edu (localhost [127.0.0.1])
by mail.math.okstate.edu (Postfix) with ESMTP id 5BB2B3F74F
for <banach at math.okstate.edu>; Thu, 23 Mar 2006 11:17:17 -0600 (CST)
Received: from hilbert.math.tamu.edu (hilbert.math.tamu.edu [165.91.100.223])
(using TLSv1 with cipher DHE-RSA-AES256-SHA (256/256 bits))
(No client certificate requested)
by mail.math.okstate.edu (Postfix) with ESMTP id 31B143F765
for <banach at math.okstate.edu>; Thu, 23 Mar 2006 11:17:17 -0600 (CST)
Received: from hilbert.math.tamu.edu (localhost [127.0.0.1])
by hilbert.math.tamu.edu (8.12.8/8.12.8) with ESMTP id k2NHHGHr030738
for <banach at math.okstate.edu>; Thu, 23 Mar 2006 11:17:16 -0600
Received: from localhost (johnson at localhost)
by hilbert.math.tamu.edu (8.12.8/8.12.8/Submit) with ESMTP id
k2NHHGpu030734
for <banach at math.okstate.edu>; Thu, 23 Mar 2006 11:17:16 -0600
X-Authentication-Warning: hilbert.math.tamu.edu: johnson owned process doing
-bs
Date: Thu, 23 Mar 2006 11:17:15 -0600 (CST)
From: Bill Johnson <johnson at math.tamu.edu>
To: banach at math.okstate.edu
Message-ID: <Pine.LNX.4.44.0603231115550.27073-100000 at hilbert.math.tamu.edu>
MIME-Version: 1.0
X-Virus-Scanned: ClamAV using ClamSMTP
X-Mailman-Approved-At: Thu, 23 Mar 2006 13:39:08 -0600
Subject: [Banach] Workshop at A&M
X-BeenThere: banach at math.okstate.edu
X-Mailman-Version: 2.1.7
Precedence: list
List-Id: Banach Space Theory News <banach.math.okstate.edu>
List-Unsubscribe: <http://mail.math.okstate.edu/mailman/listinfo/banach>,
<mailto:banach-request at math.okstate.edu?subject=unsubscribe>
List-Archive: <http://mail.math.okstate.edu/pipermail/banach>
List-Post: <mailto:banach at math.okstate.edu>
List-Help: <mailto:banach-request at math.okstate.edu?subject=help>
List-Subscribe: <http://mail.math.okstate.edu/mailman/listinfo/banach>,
<mailto:banach-request at math.okstate.edu?subject=subscribe>
Content-Type: text/plain; charset="us-ascii"
Content-Transfer-Encoding: 7bit
Sender: banach-bounces at math.okstate.edu
Errors-To: banach-bounces at math.okstate.edu
X-Virus-Scanned: ClamAV using ClamSMTP
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>.
_______________________________________________
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 28 09:06:24 2006
Return-Path: <alspach at www.math.okstate.edu>
Received: from www.math.okstate.edu (localhost.math.okstate.edu [127.0.0.1])
by www.math.okstate.edu (8.13.3/8.13.3) with ESMTP id k2SF6O03057572;
Tue, 28 Mar 2006 09:06:24 -0600 (CST)
(envelope-from alspach at www.math.okstate.edu)
Received: (from alspach at localhost)
by www.math.okstate.edu (8.13.3/8.13.3/Submit) id k2SF6OUj057571;
Tue, 28 Mar 2006 09:06:24 -0600 (CST)
(envelope-from alspach)
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
or by email in unzipped form by transmitting an empty message with
subject line
uget 0603614
or in gzipped form by using subject line
get 0603614
to: math at arXiv.org.
From alspach at www.math.okstate.edu Wed Apr 5 13:44:24 2006
Return-Path: <alspach at www.math.okstate.edu>
Received: from www.math.okstate.edu (localhost.math.okstate.edu [127.0.0.1])
by www.math.okstate.edu (8.13.3/8.13.3) with ESMTP id k35IiOjk026071;
Wed, 5 Apr 2006 13:44:24 -0500 (CDT)
(envelope-from alspach at www.math.okstate.edu)
Received: (from alspach at localhost)
by www.math.okstate.edu (8.13.3/8.13.3/Submit) id k35IiOV7026070;
Wed, 5 Apr 2006 13:44:24 -0500 (CDT)
(envelope-from alspach)
Date: Wed, 5 Apr 2006 13:44:24 -0500 (CDT)
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
http://front.math.ucdavis.edu/math.FA/0507023
or
http://arXiv.org/abs/math.FA/0507023
or by email in unzipped form by transmitting an empty message with
subject line
uget 0507023
or in gzipped form by using subject line
get 0507023
to: math at arXiv.org.
From alspach at www.math.okstate.edu Thu Apr 6 10:25:04 2006
Return-Path: <alspach at www.math.okstate.edu>
Received: from www.math.okstate.edu (localhost.math.okstate.edu [127.0.0.1])
by www.math.okstate.edu (8.13.3/8.13.3) with ESMTP id k36FP4UD036863;
Thu, 6 Apr 2006 10:25:04 -0500 (CDT)
(envelope-from alspach at www.math.okstate.edu)
Received: (from alspach at localhost)
by www.math.okstate.edu (8.13.3/8.13.3/Submit) id k36FP46P036862;
Thu, 6 Apr 2006 10:25:04 -0500 (CDT)
(envelope-from alspach)
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
subject line
uget 0604102
or in gzipped form by using subject line
get 0604102
to: math at arXiv.org.
From alspach at www.math.okstate.edu Mon Apr 17 09:42:11 2006
Return-Path: <alspach at www.math.okstate.edu>
Received: from www.math.okstate.edu (localhost.math.okstate.edu [127.0.0.1])
by www.math.okstate.edu (8.13.3/8.13.3) with ESMTP id k3HEgAw5069367;
Mon, 17 Apr 2006 09:42:10 -0500 (CDT)
(envelope-from alspach at www.math.okstate.edu)
Received: (from alspach at localhost)
by www.math.okstate.edu (8.13.3/8.13.3/Submit) id k3HEgAN5069366;
Mon, 17 Apr 2006 09:42:10 -0500 (CDT)
(envelope-from alspach)
Date: Mon, 17 Apr 2006 09:42:10 -0500 (CDT)
From: Dale Alspach <alspach at www.math.okstate.edu>
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
in gzipped form as 0604299.gz with size 8kb. The corresponding
postcript file has gzipped size 54kb.
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
or
http://arXiv.org/abs/math.FA/0604299
or by email in unzipped form by transmitting an empty message with
subject line
uget 0604299
or in gzipped form by using subject line
get 0604299
to: math at arXiv.org.
From alspach at www.math.okstate.edu Mon Apr 17 09:43:45 2006
Return-Path: <alspach at www.math.okstate.edu>
Received: from www.math.okstate.edu (localhost.math.okstate.edu [127.0.0.1])
by www.math.okstate.edu (8.13.3/8.13.3) with ESMTP id k3HEhj9P069402;
Mon, 17 Apr 2006 09:43:45 -0500 (CDT)
(envelope-from alspach at www.math.okstate.edu)
Received: (from alspach at localhost)
by www.math.okstate.edu (8.13.3/8.13.3/Submit) id k3HEhjVg069401;
Mon, 17 Apr 2006 09:43:45 -0500 (CDT)
(envelope-from alspach)
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
or
http://front.math.ucdavis.edu/cs.DS/0604055
or by email in unzipped form by transmitting an empty message with
subject line
uget 0604055
or in gzipped form by using subject line
get 0604055
to: math at arXiv.org.
From alspach at www.math.okstate.edu Fri Apr 21 07:52:17 2006
Return-Path: <alspach at www.math.okstate.edu>
Received: from www.math.okstate.edu (localhost.math.okstate.edu [127.0.0.1])
by www.math.okstate.edu (8.13.3/8.13.3) with ESMTP id k3LCqHC6016757;
Fri, 21 Apr 2006 07:52:17 -0500 (CDT)
(envelope-from alspach at www.math.okstate.edu)
Received: (from alspach at localhost)
by www.math.okstate.edu (8.13.3/8.13.3/Submit) id k3LCqHEW016756;
Fri, 21 Apr 2006 07:52:17 -0500 (CDT)
(envelope-from alspach)
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
http://front.math.ucdavis.edu/math.SG/0604434
or
http://arXiv.org/abs/math.SG/0604434
or by email in unzipped form by transmitting an empty message with
subject line
uget 0604434
or in gzipped form by using subject line
get 0604434
to: math at arXiv.org.
From alspach at www.math.okstate.edu Mon Apr 24 12:23:43 2006
Return-Path: <alspach at www.math.okstate.edu>
Received: from www.math.okstate.edu (localhost.math.okstate.edu [127.0.0.1])
by www.math.okstate.edu (8.13.3/8.13.3) with ESMTP id k3OHNhJh052996;
Mon, 24 Apr 2006 12:23:43 -0500 (CDT)
(envelope-from alspach at www.math.okstate.edu)
Received: (from alspach at localhost)
by www.math.okstate.edu (8.13.3/8.13.3/Submit) id k3OHNglK052995;
Mon, 24 Apr 2006 12:23:42 -0500 (CDT)
(envelope-from alspach)
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
or by email in unzipped form by transmitting an empty message with
subject line
uget 0604463
or in gzipped form by using subject line
get 0604463
to: math at arXiv.org.
From alspach at www.math.okstate.edu Tue Apr 25 10:54:51 2006
Return-Path: <alspach at www.math.okstate.edu>
Received: from www.math.okstate.edu (localhost.math.okstate.edu [127.0.0.1])
by www.math.okstate.edu (8.13.3/8.13.3) with ESMTP id k3PFspeG064633;
Tue, 25 Apr 2006 10:54:51 -0500 (CDT)
(envelope-from alspach at www.math.okstate.edu)
Received: (from alspach at localhost)
by www.math.okstate.edu (8.13.3/8.13.3/Submit) id k3PFspDt064632;
Tue, 25 Apr 2006 10:54:51 -0500 (CDT)
(envelope-from alspach)
Date: Tue, 25 Apr 2006 10:54:51 -0500 (CDT)
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
http://front.math.ucdavis.edu/math.FA/0604510
or
http://arXiv.org/abs/math.FA/0604510
or by email in unzipped form by transmitting an empty message with
subject line
uget 0604510
or in gzipped form by using subject line
get 0604510
to: math at arXiv.org.
From alspach at www.math.okstate.edu Fri Apr 28 08:23:54 2006
Return-Path: <alspach at www.math.okstate.edu>
Received: from www.math.okstate.edu (localhost.math.okstate.edu [127.0.0.1])
by www.math.okstate.edu (8.13.3/8.13.3) with ESMTP id k3SDNrAY006526;
Fri, 28 Apr 2006 08:23:53 -0500 (CDT)
(envelope-from alspach at www.math.okstate.edu)
Received: (from alspach at localhost)
by www.math.okstate.edu (8.13.3/8.13.3/Submit) id k3SDNrEj006525;
Fri, 28 Apr 2006 08:23:53 -0500 (CDT)
(envelope-from alspach)
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
or by email in unzipped form by transmitting an empty message with
subject line
uget 0604594
or in gzipped form by using subject line
get 0604594
to: math at arXiv.org.
From alspach at www.math.okstate.edu Fri Apr 28 08:25:05 2006
Return-Path: <alspach at www.math.okstate.edu>
Received: from www.math.okstate.edu (localhost.math.okstate.edu [127.0.0.1])
by www.math.okstate.edu (8.13.3/8.13.3) with ESMTP id k3SDP5si006576;
Fri, 28 Apr 2006 08:25:05 -0500 (CDT)
(envelope-from alspach at www.math.okstate.edu)
Received: (from alspach at localhost)
by www.math.okstate.edu (8.13.3/8.13.3/Submit) id k3SDP5Bh006575;
Fri, 28 Apr 2006 08:25:05 -0500 (CDT)
(envelope-from alspach)
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
http://front.math.ucdavis.edu/math.FA/0604595
or
http://arXiv.org/abs/math.FA/0604595
or by email in unzipped form by transmitting an empty message with
subject line
uget 0604595
or in gzipped form by using subject line
get 0604595
to: math at arXiv.org.
From alspach at www.math.okstate.edu Wed May 3 11:28:57 2006
Return-Path: <alspach at www.math.okstate.edu>
Received: from www.math.okstate.edu (localhost.math.okstate.edu [127.0.0.1])
by www.math.okstate.edu (8.13.3/8.13.3) with ESMTP id k43GSvbn014417;
Wed, 3 May 2006 11:28:57 -0500 (CDT)
(envelope-from alspach at www.math.okstate.edu)
Received: (from alspach at localhost)
by www.math.okstate.edu (8.13.3/8.13.3/Submit) id k43GSvJl014416;
Wed, 3 May 2006 11:28:57 -0500 (CDT)
(envelope-from alspach)
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
The paper may be downloaded from the archive by web browser from
URL
http://front.math.ucdavis.edu/math.FA/0605030
or
http://arXiv.org/abs/math.FA/0605030
or by email in unzipped form by transmitting an empty message with
subject line
uget 0605030
or in gzipped form by using subject line
get 0605030
to: math at arXiv.org.
From banach-bounces at math.okstate.edu Fri May 12 08:06:13 2006
Return-Path: <banach-bounces at math.okstate.edu>
Received: from mail.math.okstate.edu (mail.math.okstate.edu [139.78.112.5])
by www.math.okstate.edu (8.13.3/8.13.3) with ESMTP id k4CD6DsG018800
for <alspach at www.math.okstate.edu>; Fri, 12 May 2006 08:06:13 -0500 (CDT)
(envelope-from banach-bounces at math.okstate.edu)
Received: from mail.math.okstate.edu (localhost [127.0.0.1])
by mail.math.okstate.edu (Postfix) with ESMTP id BDBF93F79D;
Fri, 12 May 2006 08:06:12 -0500 (CDT)
Received: from mail.math.okstate.edu (localhost [127.0.0.1])
by mail.math.okstate.edu (Postfix) with ESMTP id 51A0D3F78E;
Fri, 12 May 2006 08:06:12 -0500 (CDT)
X-Original-To: banach at math.okstate.edu
Delivered-To: banach at math.okstate.edu
Received: from mail.math.okstate.edu (localhost [127.0.0.1])
by mail.math.okstate.edu (Postfix) with ESMTP id 1C15D3F796
for <banach at math.okstate.edu>; Thu, 11 May 2006 15:17:09 -0500 (CDT)
Received: from mscan1.math.kent.edu (mscan1.math.kent.edu [131.123.47.3])
by mail.math.okstate.edu (Postfix) with ESMTP id E73713F795
for <banach at math.okstate.edu>; Thu, 11 May 2006 15:17:08 -0500 (CDT)
Received: from localhost (localhost.localdomain [127.0.0.1])
by mscan1.math.kent.edu (8.12.10/8.12.10) with ESMTP id k4BKH8vm018758
for <banach at math.okstate.edu>; Thu, 11 May 2006 16:17:08 -0400
Received: from mscan1.math.kent.edu ([127.0.0.1])
by localhost (mscan1.math.kent.edu [127.0.0.1]) (amavisd-new,
port 10024) with LMTP id 16535-09 for <banach at math.okstate.edu>;
Thu, 11 May 2006 16:17:07 -0400 (EDT)
Received: from [131.123.46.154] (mississippi.math.kent.edu [131.123.46.154])
(authenticated bits=0)
by mscan1.math.kent.edu (8.12.10/8.12.10) with ESMTP id k4BKH5W8018742
(version=TLSv1/SSLv3 cipher=DHE-RSA-AES256-SHA bits=256 verify=NO)
for <banach at math.okstate.edu>; Thu, 11 May 2006 16:17:07 -0400
Message-ID: <44639BC1.2000802 at math.kent.edu>
Date: Thu, 11 May 2006 16:17:05 -0400
From: Artem Zvavitch <zvavitch at math.kent.edu>
User-Agent: Thunderbird 1.5.0.2 (Windows/20060308)
MIME-Version: 1.0
To: banach at math.okstate.edu
X-Virus-Scanned: by amavisd-new at math.kent.edu
X-Virus-Scanned: ClamAV using ClamSMTP
X-Mailman-Approved-At: Fri, 12 May 2006 08:06:12 -0500
Subject: [Banach] CBMS conference on A Probabalistic and Combinatorial
Approach in Analysis (second announcement)
X-BeenThere: banach at math.okstate.edu
X-Mailman-Version: 2.1.8
Precedence: list
List-Id: Banach Space Theory News <banach.math.okstate.edu>
List-Unsubscribe: <http://mail.math.okstate.edu/mailman/listinfo/banach>,
<mailto:banach-request at math.okstate.edu?subject=unsubscribe>
List-Archive: <http://mail.math.okstate.edu/pipermail/banach>
List-Post: <mailto:banach at math.okstate.edu>
List-Help: <mailto:banach-request at math.okstate.edu?subject=help>
List-Subscribe: <http://mail.math.okstate.edu/mailman/listinfo/banach>,
<mailto:banach-request at math.okstate.edu?subject=subscribe>
Content-Type: text/plain; charset="us-ascii"
Content-Transfer-Encoding: 7bit
Sender: banach-bounces at math.okstate.edu
Errors-To: banach-bounces at math.okstate.edu
X-Virus-Scanned: ClamAV using ClamSMTP
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
http://mail.math.okstate.edu/mailman/listinfo/banach
From alspach at www.math.okstate.edu Fri May 19 10:38:51 2006
Return-Path: <alspach at www.math.okstate.edu>
Received: from www.math.okstate.edu (localhost.math.okstate.edu [127.0.0.1])
by www.math.okstate.edu (8.13.3/8.13.3) with ESMTP id k4JFcpAm000816;
Fri, 19 May 2006 10:38:51 -0500 (CDT)
(envelope-from alspach at www.math.okstate.edu)
Received: (from alspach at localhost)
by www.math.okstate.edu (8.13.3/8.13.3/Submit) id k4JFcpau000815;
Fri, 19 May 2006 10:38:51 -0500 (CDT)
(envelope-from alspach)
Date: Fri, 19 May 2006 10:38:51 -0500 (CDT)
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200605191538.k4JFcpau000815 at www.math.okstate.edu>
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
in gzipped form as 0605475.gz with size 9kb. The corresponding
postcript file has gzipped size 52kb.
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
http://arXiv.org/abs/math.FA/0605475
or by email in unzipped form by transmitting an empty message with
subject line
uget 0605475
or in gzipped form by using subject line
get 0605475
to: math at arXiv.org.
From alspach at www.math.okstate.edu Thu Jun 1 18:09:40 2006
Return-Path: <alspach at www.math.okstate.edu>
Received: from www.math.okstate.edu (localhost.math.okstate.edu [127.0.0.1])
by www.math.okstate.edu (8.13.3/8.13.3) with ESMTP id k51N9eCo051051;
Thu, 1 Jun 2006 18:09:40 -0500 (CDT)
(envelope-from alspach at www.math.okstate.edu)
Received: (from alspach at localhost)
by www.math.okstate.edu (8.13.3/8.13.3/Submit) id k51N9eK3051050;
Thu, 1 Jun 2006 18:09:40 -0500 (CDT)
(envelope-from alspach)
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
The source file(s), KonyaginVesely.tex: 32898 bytes, birkmult.cls:
53923 bytes, is(are) stored in gzipped form as 0605549.tar.gz with
size 26kb. The corresponding postcript file has gzipped size 56kb.
Submitted from: Libor.Vesely at mat.unimi.it
The paper may be downloaded from the archive by web browser from
URL
http://front.math.ucdavis.edu/math.FA/0605549
or
http://arXiv.org/abs/math.FA/0605549
or by email in unzipped form by transmitting an empty message with
subject line
uget 0605549
or in gzipped form by using subject line
get 0605549
to: math at arXiv.org.
From alspach at www.math.okstate.edu Thu Jun 1 18:11:00 2006
Return-Path: <alspach at www.math.okstate.edu>
Received: from www.math.okstate.edu (localhost.math.okstate.edu [127.0.0.1])
by www.math.okstate.edu (8.13.3/8.13.3) with ESMTP id k51NB0SI051096;
Thu, 1 Jun 2006 18:11:00 -0500 (CDT)
(envelope-from alspach at www.math.okstate.edu)
Received: (from alspach at localhost)
by www.math.okstate.edu (8.13.3/8.13.3/Submit) id k51NB082051095;
Thu, 1 Jun 2006 18:11:00 -0500 (CDT)
(envelope-from alspach)
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,
is(are) stored in gzipped form as 0605781.tar.gz with size 66kb.
The corresponding postcript file has gzipped size 167kb.
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/0605781
or
http://arXiv.org/abs/math.FA/0605781
or by email in unzipped form by transmitting an empty message with
subject line
uget 0605781
or in gzipped form by using subject line
get 0605781
to: math at arXiv.org.
From alspach at www.math.okstate.edu Sat Jun 3 16:39:18 2006
Return-Path: <alspach at www.math.okstate.edu>
Received: from www.math.okstate.edu (localhost.math.okstate.edu [127.0.0.1])
by www.math.okstate.edu (8.13.3/8.13.3) with ESMTP id k53LdIuB073656;
Sat, 3 Jun 2006 16:39:18 -0500 (CDT)
(envelope-from alspach at www.math.okstate.edu)
Received: (from alspach at localhost)
by www.math.okstate.edu (8.13.3/8.13.3/Submit) id k53LdI1O073655;
Sat, 3 Jun 2006 16:39:18 -0500 (CDT)
(envelope-from alspach)
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
gzipped form as 0606006.gz with size 31kb. The corresponding postcript
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
or
http://arXiv.org/abs/math.FA/0606006
or by email in unzipped form by transmitting an empty message with
subject line
uget 0606006
or in gzipped form by using subject line
get 0606006
to: math at arXiv.org.
From alspach at www.math.okstate.edu Sat Jun 3 16:41:51 2006
Return-Path: <alspach at www.math.okstate.edu>
Received: from www.math.okstate.edu (localhost.math.okstate.edu [127.0.0.1])
by www.math.okstate.edu (8.13.3/8.13.3) with ESMTP id k53LfpmX073704;
Sat, 3 Jun 2006 16:41:51 -0500 (CDT)
(envelope-from alspach at www.math.okstate.edu)
Received: (from alspach at localhost)
by www.math.okstate.edu (8.13.3/8.13.3/Submit) id k53LfpkK073703;
Sat, 3 Jun 2006 16:41:51 -0500 (CDT)
(envelope-from alspach)
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
The source file(s), gen-jacobian3a.tex: 25440 bytes, is(are) stored
in gzipped form as 0605771.gz with size 9kb. The corresponding
postcript file has gzipped size 39kb.
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
or
http://arXiv.org/abs/math.FA/0605771
or by email in unzipped form by transmitting an empty message with
subject line
uget 0605771
or in gzipped form by using subject line
get 0605771
to: math at arXiv.org.
From alspach at www.math.okstate.edu Wed Jun 7 08:44:37 2006
Return-Path: <alspach at www.math.okstate.edu>
Received: from www.math.okstate.edu (localhost.math.okstate.edu [127.0.0.1])
by www.math.okstate.edu (8.13.3/8.13.3) with ESMTP id k57DibX1017903;
Wed, 7 Jun 2006 08:44:37 -0500 (CDT)
(envelope-from alspach at www.math.okstate.edu)
Received: (from alspach at localhost)
by www.math.okstate.edu (8.13.3/8.13.3/Submit) id k57DibpQ017902;
Wed, 7 Jun 2006 08:44:37 -0500 (CDT)
(envelope-from alspach)
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
The source file(s), MOMSPC1.tex: 56149 bytes, is(are) stored in
gzipped form as 0605732.gz with size 18kb. The corresponding postcript
file has gzipped size 72kb.
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
or
http://arXiv.org/abs/math.FA/0605732
or by email in unzipped form by transmitting an empty message with
subject line
uget 0605732
or in gzipped form by using subject line
get 0605732
to: math at arXiv.org.
From alspach at www.math.okstate.edu Wed Jun 14 06:41:32 2006
Return-Path: <alspach at www.math.okstate.edu>
Received: from www.math.okstate.edu (localhost.math.okstate.edu [127.0.0.1])
by www.math.okstate.edu (8.13.3/8.13.3) with ESMTP id k5EBfWKk089223;
Wed, 14 Jun 2006 06:41:32 -0500 (CDT)
(envelope-from alspach at www.math.okstate.edu)
Received: (from alspach at localhost)
by www.math.okstate.edu (8.13.3/8.13.3/Submit) id k5EBfWU2089222;
Wed, 14 Jun 2006 06:41:32 -0500 (CDT)
(envelope-from alspach)
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
The source file(s), MMSR.tex: 55818 bytes, is(are) stored in gzipped
form as 0606305.gz with size 18kb. The corresponding postcript file
has gzipped size 93kb.
Submitted from: reisner at math.haifa.ac.il
The paper may be downloaded from the archive by web browser from
URL
http://front.math.ucdavis.edu/math.MG/0606305
or
http://arXiv.org/abs/math.MG/0606305
or by email in unzipped form by transmitting an empty message with
subject line
uget 0606305
or in gzipped form by using subject line
get 0606305
to: math at arXiv.org.
From alspach at www.math.okstate.edu Wed Jun 14 06:42:34 2006
Return-Path: <alspach at www.math.okstate.edu>
Received: from www.math.okstate.edu (localhost.math.okstate.edu [127.0.0.1])
by www.math.okstate.edu (8.13.3/8.13.3) with ESMTP id k5EBgY62089254;
Wed, 14 Jun 2006 06:42:34 -0500 (CDT)
(envelope-from alspach at www.math.okstate.edu)
Received: (from alspach at localhost)
by www.math.okstate.edu (8.13.3/8.13.3/Submit) id k5EBgYhx089253;
Wed, 14 Jun 2006 06:42:34 -0500 (CDT)
(envelope-from alspach)
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
The source file(s), dosz042106-arXiv.tex: 95960 bytes, is(are)
stored in gzipped form as 0606317.gz with size 27kb. The corresponding
postcript file has gzipped size 118kb.
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/0606317
or
http://arXiv.org/abs/math.FA/0606317
or by email in unzipped form by transmitting an empty message with
subject line
uget 0606317
or in gzipped form by using subject line
get 0606317
to: math at arXiv.org.
From banach-bounces at math.okstate.edu Thu Jun 22 07:21:16 2006
Return-Path: <banach-bounces at math.okstate.edu>
Received: from mail.math.okstate.edu (mail.math.okstate.edu [139.78.112.5])
by www.math.okstate.edu (8.13.3/8.13.3) with ESMTP id k5MCLGn9080914
for <alspach at www.math.okstate.edu>; Thu, 22 Jun 2006 07:21:16 -0500 (CDT)
(envelope-from banach-bounces at math.okstate.edu)
Received: from mail.math.okstate.edu (localhost [127.0.0.1])
by mail.math.okstate.edu (Postfix) with ESMTP id 31E133F7AE;
Thu, 22 Jun 2006 07:21:00 -0500 (CDT)
Received: from mail.math.okstate.edu (localhost [127.0.0.1])
by mail.math.okstate.edu (Postfix) with ESMTP id BF1EE3F773;
Thu, 22 Jun 2006 07:20:59 -0500 (CDT)
X-Original-To: banach at math.okstate.edu
Delivered-To: banach at math.okstate.edu
Received: from mail.math.okstate.edu (localhost [127.0.0.1])
by mail.math.okstate.edu (Postfix) with ESMTP id 6A6ED3F7AF
for <banach at math.okstate.edu>; Thu, 22 Jun 2006 04:53:20 -0500 (CDT)
Received: from pizarro.unex.es (pizarro.unex.es [158.49.8.2])
by mail.math.okstate.edu (Postfix) with ESMTP id 736E33F7AD
for <banach at math.okstate.edu>; Thu, 22 Jun 2006 04:53:19 -0500 (CDT)
Received: from localhost (naranjo.unex.es [158.49.8.165])
by pizarro.unex.es (Postfix/MJ-1.08) with ESMTP id 6C411D154A
for <banach at math.okstate.edu>; Thu, 22 Jun 2006 11:53:18 +0200 (CEST)
Received: from pizarro.unex.es ([158.49.8.2])
by localhost (naranjo [158.49.17.21]) (amavisd-new, port 10024)
with ESMTP id 23215-07 for <banach at math.okstate.edu>;
Thu, 22 Jun 2006 11:53:18 +0200 (CEST)
Received: from guadiana.unex.es (guadiana.unex.es [158.49.17.23])
by pizarro.unex.es (Postfix/MJ-1.08) with ESMTP id 5867FD1548
for <banach at math.okstate.edu>; Thu, 22 Jun 2006 11:53:17 +0200 (CEST)
Received: from cortes.unex.es
([158.49.17.25] helo=cartero.unex.es ident=www-data)
by guadiana.unex.es with esmtp (Exim 3.35 #1 (Debian))
id 1FtLsD-0004oD-00
for <banach at math.okstate.edu>; Thu, 22 Jun 2006 11:53:17 +0200
Received: from 158.49.26.101 (SquirrelMail authenticated user fcabello)
by cartero.unex.es with HTTP; Thu, 22 Jun 2006 11:57:03 +0200 (CEST)
Message-ID: <1409.158.49.26.101.1150970223.squirrel at cartero.unex.es>
Date: Thu, 22 Jun 2006 11:57:03 +0200 (CEST)
From: =?iso-8859-1?Q?F=E9lix_Cabello_S=E1nchez?= <fcabello at unex.es>
To: banach at math.okstate.edu
User-Agent: SquirrelMail/1.4.4
MIME-Version: 1.0
X-Priority: 3 (Normal)
Importance: Normal
X-Virus-Scanned: by amavisd-new-20030616-p10 (Debian/siue) at unex.es
X-Virus-Scanned: ClamAV using ClamSMTP
X-Mailman-Approved-At: Thu, 22 Jun 2006 07:20:58 -0500
Subject: [Banach] Banach space theory - Last announcement
X-BeenThere: banach at math.okstate.edu
X-Mailman-Version: 2.1.8
Precedence: list
List-Id: Banach Space Theory News <banach.math.okstate.edu>
List-Unsubscribe: <http://mail.math.okstate.edu/mailman/listinfo/banach>,
<mailto:banach-request at math.okstate.edu?subject=unsubscribe>
List-Archive: <http://mail.math.okstate.edu/pipermail/banach>
List-Post: <mailto:banach at math.okstate.edu>
List-Help: <mailto:banach-request at math.okstate.edu?subject=help>
List-Subscribe: <http://mail.math.okstate.edu/mailman/listinfo/banach>,
<mailto:banach-request at math.okstate.edu?subject=subscribe>
Content-Type: text/plain; charset="iso-8859-1"
Sender: banach-bounces at math.okstate.edu
Errors-To: banach-bounces at math.okstate.edu
X-Virus-Scanned: ClamAV using ClamSMTP
Content-Transfer-Encoding: 8bit
X-MIME-Autoconverted: from quoted-printable to 8bit by www.math.okstate.edu id k5MCLGn9080914
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
_______________________________________________
Banach mailing list
Banach at math.okstate.edu
http://mail.math.okstate.edu/mailman/listinfo/banach
From alspach at www.math.okstate.edu Fri Jun 23 06:48:41 2006
Return-Path: <alspach at www.math.okstate.edu>
Received: from www.math.okstate.edu (localhost.math.okstate.edu [127.0.0.1])
by www.math.okstate.edu (8.13.3/8.13.3) with ESMTP id k5NBmfgx092049;
Fri, 23 Jun 2006 06:48:41 -0500 (CDT)
(envelope-from alspach at www.math.okstate.edu)
Received: (from alspach at localhost)
by www.math.okstate.edu (8.13.3/8.13.3/Submit) id k5NBmfLv092048;
Fri, 23 Jun 2006 06:48:41 -0500 (CDT)
(envelope-from alspach)
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
The source file(s), sj192.tex: 81719 bytes, is(are) stored in gzipped
form as 0606551.gz with size 22kb. The corresponding postcript file
has gzipped size 106kb.
Submitted from: svante.janson at math.uu.se
The paper may be downloaded from the archive by web browser from
URL
http://front.math.ucdavis.edu/math.FA/0606551
or
http://arXiv.org/abs/math.FA/0606551
or by email in unzipped form by transmitting an empty message with
subject line
uget 0606551
or in gzipped form by using subject line
get 0606551
to: math at arXiv.org.
From alspach at www.math.okstate.edu Mon Jul 10 11:13:40 2006
Return-Path: <alspach at www.math.okstate.edu>
Received: from www.math.okstate.edu (localhost.math.okstate.edu [127.0.0.1])
by www.math.okstate.edu (8.13.3/8.13.3) with ESMTP id k6AGDeBu083489;
Mon, 10 Jul 2006 11:13:40 -0500 (CDT)
(envelope-from alspach at www.math.okstate.edu)
Received: (from alspach at localhost)
by www.math.okstate.edu (8.13.3/8.13.3/Submit) id k6AGDewP083488;
Mon, 10 Jul 2006 11:13:40 -0500 (CDT)
(envelope-from alspach)
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)
stored in gzipped form as 0607193.gz with size 13kb. The corresponding
postcript file has gzipped size 62kb.
Submitted from: jgalindo at mat.uji.es
The paper may be downloaded from the archive by web browser from
URL
http://front.math.ucdavis.edu/math.GN/0607193
or
http://arXiv.org/abs/math.GN/0607193
or by email in unzipped form by transmitting an empty message with
subject line
uget 0607193
or in gzipped form by using subject line
get 0607193
to: math at arXiv.org.
From alspach at www.math.okstate.edu Tue Jul 11 14:44:42 2006
Return-Path: <alspach at www.math.okstate.edu>
Received: from www.math.okstate.edu (localhost.math.okstate.edu [127.0.0.1])
by www.math.okstate.edu (8.13.3/8.13.3) with ESMTP id k6BJigWv095972;
Tue, 11 Jul 2006 14:44:42 -0500 (CDT)
(envelope-from alspach at www.math.okstate.edu)
Received: (from alspach at localhost)
by www.math.okstate.edu (8.13.3/8.13.3/Submit) id k6BJig0B095971;
Tue, 11 Jul 2006 14:44:42 -0500 (CDT)
(envelope-from alspach)
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
The source file(s), ctb12.tex: 51867 bytes, is(are) stored in gzipped
form as 0607224.gz with size 18kb. The corresponding postcript file
has gzipped size 80kb.
Submitted from: ournyche at math.kent.edu
The paper may be downloaded from the archive by web browser from
URL
http://front.math.ucdavis.edu/math.FA/0607224
or
http://arXiv.org/abs/math.FA/0607224
or by email in unzipped form by transmitting an empty message with
subject line
uget 0607224
or in gzipped form by using subject line
get 0607224
to: math at arXiv.org.
From banach-bounces at math.okstate.edu Thu Jul 13 16:23:17 2006
Return-Path: <banach-bounces at math.okstate.edu>
Received: from mail.math.okstate.edu (mail.math.okstate.edu [139.78.112.5])
by www.math.okstate.edu (8.13.3/8.13.3) with ESMTP id k6DLNHLH019477
for <alspach at www.math.okstate.edu>; Thu, 13 Jul 2006 16:23:17 -0500 (CDT)
(envelope-from banach-bounces at math.okstate.edu)
Received: from mail.math.okstate.edu (localhost [127.0.0.1])
by mail.math.okstate.edu (Postfix) with ESMTP id A041A3F828;
Thu, 13 Jul 2006 16:23:16 -0500 (CDT)
Received: from mail.math.okstate.edu (localhost [127.0.0.1])
by mail.math.okstate.edu (Postfix) with ESMTP id 374ED3F7F7;
Thu, 13 Jul 2006 16:23:16 -0500 (CDT)
X-Original-To: banach at math.okstate.edu
Delivered-To: banach at math.okstate.edu
Received: from mail.math.okstate.edu (localhost [127.0.0.1])
by mail.math.okstate.edu (Postfix) with ESMTP id AA1563F7D5
for <banach at math.okstate.edu>; Thu, 13 Jul 2006 14:16:52 -0500 (CDT)
Received: from hilbert.math.tamu.edu (hilbert.math.tamu.edu [165.91.100.223])
by mail.math.okstate.edu (Postfix) with ESMTP id 707053F7BE
for <banach at math.okstate.edu>; Thu, 13 Jul 2006 14:16:52 -0500 (CDT)
Received: from hilbert.math.tamu.edu (localhost [127.0.0.1])
by hilbert.math.tamu.edu (8.12.8/8.12.8) with ESMTP id k6DJGpv1015068
for <banach at math.okstate.edu>; Thu, 13 Jul 2006 14:16:51 -0500
Received: from localhost (johnson at localhost)
by hilbert.math.tamu.edu (8.12.8/8.12.8/Submit) with ESMTP id
k6DJGpxr015064
for <banach at math.okstate.edu.>; Thu, 13 Jul 2006 14:16:51 -0500
X-Authentication-Warning: hilbert.math.tamu.edu: johnson owned process doing
-bs
Date: Thu, 13 Jul 2006 14:16:51 -0500 (CDT)
From: Bill Johnson <johnson at math.tamu.edu>
To: banach at math.okstate.edu
Message-ID: <Pine.LNX.4.44.0607131416070.12004-100000 at hilbert.math.tamu.edu>
MIME-Version: 1.0
X-Virus-Scanned: ClamAV using ClamSMTP
X-Mailman-Approved-At: Thu, 13 Jul 2006 16:23:14 -0500
Subject: [Banach] Metric Geometry Concentration Week at A&M
X-BeenThere: banach at math.okstate.edu
X-Mailman-Version: 2.1.8
Precedence: list
List-Id: Banach Space Theory News <banach.math.okstate.edu>
List-Unsubscribe: <http://mail.math.okstate.edu/mailman/listinfo/banach>,
<mailto:banach-request at math.okstate.edu?subject=unsubscribe>
List-Archive: <http://mail.math.okstate.edu/pipermail/banach>
List-Post: <mailto:banach at math.okstate.edu>
List-Help: <mailto:banach-request at math.okstate.edu?subject=help>
List-Subscribe: <http://mail.math.okstate.edu/mailman/listinfo/banach>,
<mailto:banach-request at math.okstate.edu?subject=subscribe>
Content-Type: text/plain; charset="us-ascii"
Content-Transfer-Encoding: 7bit
Sender: banach-bounces at math.okstate.edu
Errors-To: banach-bounces at math.okstate.edu
X-Virus-Scanned: ClamAV using ClamSMTP
Status: R
The Concentration Week on "Metric Geometry and Geometric Embeddings of
Discrete Metric Spaces" will begin with registration at 9:00 AM on Monday,
July 17, and end in the early afternoon on Saturday, July 22. All talks
will be in Blocker 165. The Blocker Building is on Ireland St. just south
of University Dr. on the Texas A&M campus:
http://www.tamu.edu/map/building/overview/BLOC.html.
Coffee and refreshments will be available in Blocker 155.
Registration and Reimbursement. Please register at the registration desk
in Blocker when you arrive on Monday or Tuesday. Most participants will
have their rooms direct billed to the Mathematics Department. If you are
to receive a meal allowance, please fill out the reimbursement sheet given
you at the registration desk with your name, social security number (if
you have one), and the address to which you want the reimbursement check
sent. Sign at the bottom of the form above "Traveler Signature" and check
the appropriate box on that line. If you are not a U. S. resident, please
give Cara your passport to be photocopied.
Banquet. The Concentration Week banquet will be at 6:00 PM Thursday, July
20 at Cafe Eccell,
http://www.cafeeccell.com/, 101 Church Ave. (also called Church St.), at
the intersection of Church Ave. with Wellborn Road. Church Ave. is one
block north of University Dr; it is an easy walk to the restaurant from
Blocker. For technical reasons we must charge a registration fee of $15
per person for the banquet on Thursday, which can be paid when you
register for the Concentration Week. At registration please indicate
which entree (chateau loin filet, grilled chicken breast, voodoo salmon,
or vegetarian) you prefer. If you will arrive after Tuesday, please email
Cara, cara at math.tamu.edu, if you (and a companion, if applicable) will
come to the banquet, because Cara must give the restaurant the number of
diners in advance.
Airport pick up. If you are staying at Hampton Inn, you can request a
shuttle from Hampton Inn upon arrival at Easterwood Airport from the phone
near the car rental desks. Alternatively, you can call the Hampton Inn at
(979) 846-0184 before boarding your flight to tell them your arrival time.
If you are staying elsewhere, you can ask Cara to book University Taxi.
Please give Cara your arrival time and flight number. University Taxi
will bill the Mathematics Department. Give the driver, usually Mr. Yimmy,
your name and tell him you are attending Professor Johnson's Workshop.
The 800 for University Taxi is 1-888-377-4300.
Parking. You can park in the Northside Garage across the street from
Blocker for $8/day if space is available. Entering and leaving the NSG is
a pain and we suggest that instead you park in the Northgate Parking
Garage near Church St. at 309 College Main St. for $3/day.
Informal discussion. Blocker 627 and 628 can be used for informal
discussions. We also have Milner 317
http://www.tamu.edu/map/building/overview/MILN.html
reserved for Workshop activities, and other open rooms in Milner can be
used.
Computer access. Will be available in Blocker during designated hours.
Please sign up at the registration desk. Also, all hotels have wireless
Internet access. For security reasons TAMU does not offer
wireless Internet access to visitors.
Visual aids. Blocker 165 contains equipment for overhead transparency
presentations, lap top attachments for power point (or the like)
presentations, and white boards.
Schedule. The schedule below is subject to change. We expect that
"impromptu" talks will be added. Talks designed to introduce non experts
and graduate students to aspects of metric geometry are mark with a *.
All talks will be in Blocker 165 Note that there will be time between
talks for run-over, questions, and discussion.
Monday, July 17.
9:00- 9:30 Coffee, Blocker 155, & Registration in Blocker
9:30-10:20 Assaf Naor, *A survey of definitions, results and techniques
in metric
embedding theory, I*
10:40-11:00 Coffee and registration.
11:00-12:00 Guoliang Yu, *The Novikov conjecture and metric geometry*
12:15- 1:55 Lunch (there are a number of restaurants in the
Northgate/Church Ave. area.)
1:55- 2:45 Assaf Naor, *A survey of definitions, results and techniques
in metric
embedding theory, II*
3:10- 4:00 Yuval Peres, Markov chains, martingales and metric embedding
4:20- Informal discussions
Tuesday, July 18
9:00- Coffee, Blocker 155
9:30-10:20 Moses Charikar, *Metric Embeddings in Combinatorial
Optimization*
10:45-11:45 Piotr Indyk, *Low-distortion embeddings and data structures*
12:00- 1:40 Lunch break
1:40- 2:30 Sanjeev Arora, Local versus Global phenomena and their
importance in approximation algorithms
2:50- 3:15 Yury Makarychev, Directed Metrics and MIN 2CNF Deletion
3:30- 3:55 Konstantin Makarychev, Directed Metrics and Directed Graph
Partitioning Problems
4:10- Informal discussions
Wednesday, July 19
9:00- Coffee, Blocker 155
9:30-10:20 Bruce Kleiner, BiLipschitz embeddings of metric spaces in
Banach spaces
10:40-11:10 Marianna Csornyei, Sard's theorem revisited
11:30-12:00 Leonid Kovalev, Examples of Embeddings via dynamical systems
12:20- 2:00 Lunch break
2:00- 2:50 Robert Krauthgamer, On embedding edit distance into l_1
3:10- 3:50 Yuri Rabinovich, Hard Metric from Abelian Groups
4:10- 5:00 Adi Shraibman, Margins of concept classes
5:15- Informal discussions
Thursday, July 20 (Note late starting time)
9:30- Coffee, Blocker 155
10:10-11:00 Gideon Schechtman, Planar transportation cost space is not in
$L_1$
11:20-12:00 Nir Y Ailon, The Fast Johnson-Lindenstrauss Transform with
Applications
12:20- 3:00 Lunch break
3:00- 3:50 James Lee, Mixed-norm embeddings and vertex isoperimetry
4:20- 5:10 Avner Magen, Integrality gaps of SDP for Vertex Cover and
relations to $\ell_1$ embeddability of negative type metrics
Friday, July 21
9:00- Coffee, Blocker 155
9:30-10:20 Ofer Neiman, Advances in metric embedding theory
10:40-11:30 Manor Mendel, Ramsey partitions and proximity data-structures
11:50- 1:30 Lunch break
1:30- 3:30+ Problem Session (Sanjeev Arora, moderator)
3:40- Informal discussions
Saturday, July 22
9:30- Coffee, Blocker 155
10:00-10:50 Piotr Nowak, Property A
11:10-12:00 Assaf Naor, Chaining on metric spaces
_______________________________________________
Banach mailing list
Banach at math.okstate.edu
http://mail.math.okstate.edu/mailman/listinfo/banach
From banach-bounces at math.okstate.edu Sat Jul 29 23:20:34 2006
Return-Path: <banach-bounces at math.okstate.edu>
Received: from mail.math.okstate.edu (mail.math.okstate.edu [139.78.112.5])
by www.math.okstate.edu (8.13.3/8.13.3) with ESMTP id k6U4KY0c010443
for <alspach at www.math.okstate.edu>; Sat, 29 Jul 2006 23:20:34 -0500 (CDT)
(envelope-from banach-bounces at math.okstate.edu)
Received: from mail.math.okstate.edu (localhost [127.0.0.1])
by mail.math.okstate.edu (Postfix) with ESMTP id 057FD3F899;
Sat, 29 Jul 2006 23:20:34 -0500 (CDT)
Received: from mail.math.okstate.edu (localhost [127.0.0.1])
by mail.math.okstate.edu (Postfix) with ESMTP id 9217A3F883;
Sat, 29 Jul 2006 23:20:33 -0500 (CDT)
X-Original-To: banach at math.okstate.edu
Delivered-To: banach at math.okstate.edu
Received: from mail.math.okstate.edu (localhost [127.0.0.1])
by mail.math.okstate.edu (Postfix) with ESMTP id 14EB53F87A
for <banach at math.okstate.edu>; Fri, 28 Jul 2006 15:37:33 -0500 (CDT)
Received: from hilbert.math.tamu.edu (hilbert.math.tamu.edu [165.91.100.223])
by mail.math.okstate.edu (Postfix) with ESMTP id D93F53F875
for <banach at math.okstate.edu>; Fri, 28 Jul 2006 15:37:32 -0500 (CDT)
Received: from hilbert.math.tamu.edu (localhost [127.0.0.1])
by hilbert.math.tamu.edu (8.12.8/8.12.8) with ESMTP id k6SKbVv1017754
for <banach at math.okstate.edu>; Fri, 28 Jul 2006 15:37:31 -0500
Received: from localhost (johnson at localhost)
by hilbert.math.tamu.edu (8.12.8/8.12.8/Submit) with ESMTP id
k6SKbV6j017750
for <banach at math.okstate.edu>; Fri, 28 Jul 2006 15:37:31 -0500
X-Authentication-Warning: hilbert.math.tamu.edu: johnson owned process doing
-bs
Date: Fri, 28 Jul 2006 15:37:31 -0500 (CDT)
From: Bill Johnson <johnson at math.tamu.edu>
To: banach at math.okstate.edu
Message-ID: <Pine.LNX.4.44.0607281536390.17727-200000 at hilbert.math.tamu.edu>
MIME-Version: 1.0
X-Virus-Scanned: ClamAV using ClamSMTP
X-Mailman-Approved-At: Sat, 29 Jul 2006 23:20:33 -0500
Content-Disposition: attachment; filename="IRFASschedule06.txt"
X-Content-Filtered-By: Mailman/MimeDel 2.1.8
Subject: [Banach] SUMIRFAS schedule
X-BeenThere: banach at math.okstate.edu
X-Mailman-Version: 2.1.8
Precedence: list
List-Id: Banach Space Theory News <banach.math.okstate.edu>
List-Unsubscribe: <http://mail.math.okstate.edu/mailman/listinfo/banach>,
<mailto:banach-request at math.okstate.edu?subject=unsubscribe>
List-Archive: <http://mail.math.okstate.edu/pipermail/banach>
List-Post: <mailto:banach at math.okstate.edu>
List-Help: <mailto:banach-request at math.okstate.edu?subject=help>
List-Subscribe: <http://mail.math.okstate.edu/mailman/listinfo/banach>,
<mailto:banach-request at math.okstate.edu?subject=subscribe>
Content-Type: text/plain; charset="us-ascii"
Content-Transfer-Encoding: 7bit
Sender: banach-bounces at math.okstate.edu
Errors-To: banach-bounces at math.okstate.edu
X-Virus-Scanned: ClamAV using ClamSMTP
Status: R
SCHEDULE FOR SUMIRFAS 2006
The Informal Regional Functional Analysis Seminar
August 4 - 6
Texas A&M University, College Station
Talks for SUMIRFAS will also be posted on the Workshop in Analysis and Probability page:
http://www.math.tamu.edu/research/workshops/linanalysis/
All talks will be in Blocker 165. The Blocker Building is on Ireland St. just south of University Dr. on the Texas A&M campus:
http://www.tamu.edu/map/building/overview/BLOC.html
Coffee and refreshments will be available in Blocker 155.
Pete Casazza, David Larson, and Thomas Schlumprecht are organizing a Concentration Week on "Frames, Banach spaces and Signal Processing" that will take place after SUMIRFAS, 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.
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 Cara to book your room, please tell her if
you are requesting support. Minorities, women, graduate students, and young
researchers are especially encouraged to apply.
For logistical 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 "Frames, Banach spaces and Signal Processing", please contact David Larson, larson at math.tamu.edu, or Thomas Schlumprecht, schlump at math.tamu.edu.
Schedule for SUMIRFAS 2006
Friday, August 4 Blocker 165
1:00- 1:25 Coffee & refreshments, Blocker 155
1:25- 1:30 Greeting
1:30- 2:20 Pete Casazza, The Kadison-Singer problem in mathematics and engineering
2:35- 3:25 Gary Weiss, 3 paving small matrices and the Kadison-Singer extension problem
3:30- 4:00 Coffee & refreshments, Blocker 155
4:00- 4:30 Bentuo Zheng, Operators from L_p (2<p<\infty) which factor through l_p
4:45- 5:35 David Kerr, The Kolmogorov property in dynamics
Saturday, August 5 Blocker 165
9:00- 9:30 Coffee & refreshments, Blocker 155
9:30-10:00 Taka Ozawa, A comment on free group factors
10:15-11:05 Alex Furman, Property (T) and rigidity for group actions on Banach spaces
11:20-11:50 Eric Ricard, On the algebraic structure of the unitary group
12:00- 1:45 Lunch
1:45- 2:35 Chris Heil, The density theorem for Gabor systems and localized frames
2:50- 3:20 Beata Randriantoanina, On contractive projections in Hardy spaces
3:25- 3:45 Coffee & refreshments, Blocker 155
3:45- 4:35 Marius Junge, Rosenthal's theorem for noncommutative L_p spaces
4:50- 5:40 Tadek Figiel, Revisiting Grothendieck's AP implies MAP theorem
6:45 - BBQ at Jan & Bill Johnson's house, 1306 Deacon Dr., College Station. Please tell Cara, cara at math.tamu.edu, if you (and spouse or companion, if applicable) will attend.
Sunday, August 6 Blocker 165
9:30-10:00 Coffee & refreshments, Blocker 155
10:00-10:50 Stefanie Petermichl, Multi parameter Riesz commutators and product BMO
11:10-12:00 Gilles Pisier, Characterizations of amenable groups or algebras by their length
_______________________________________________
Banach mailing list
Banach at math.okstate.edu
http://mail.math.okstate.edu/mailman/listinfo/banach
From alspach at www.math.okstate.edu Wed Aug 2 16:54:42 2006
Return-Path: <alspach at www.math.okstate.edu>
Received: from www.math.okstate.edu (localhost.math.okstate.edu [127.0.0.1])
by www.math.okstate.edu (8.13.3/8.13.3) with ESMTP id k72Lsgfx028692;
Wed, 2 Aug 2006 16:54:42 -0500 (CDT)
(envelope-from alspach at www.math.okstate.edu)
Received: (from alspach at localhost)
by www.math.okstate.edu (8.13.3/8.13.3/Submit) id k72LsghS028691;
Wed, 2 Aug 2006 16:54:42 -0500 (CDT)
(envelope-from alspach)
Date: Wed, 2 Aug 2006 16:54:42 -0500 (CDT)
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200608022154.k72LsghS028691 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Oscar Valero
Status: R
This is an announcement for the paper "Quotient normed cones" by
Oscar Valero.
Abstract: Given a normed cone $(X,p)$ and a subcone $Y,$ we construct
and study the quotient normed cone $(X/Y,\tilde{p})$ generated by
$Y$. In particular we characterize the bicompleteness of $(X/Y,\tilde{p})$
in terms of the bicompleteness of $(X,p),$ and prove that the dual
quotient cone $((X/Y)^{*},\|\cdot \|_{\tilde{p},u})$ can be identified
as a distinguished subcone of the dual cone $(X^{*},\|\cdot \|_{p,u})$.
Furthermore, some parts of the theory are presented in the general
setting of the space $CL(X,Y)$ of all continuous linear mappings
from a normed cone $(X,p)$ to a normed cone $(Y,q),$ extending
several well-known results related to open continuous linear mappings
between normed linear spaces.
Archive classification: Functional Analysis; General Topology
Mathematics Subject Classification: 54E35; 54E50; 54E99; 54H11
Remarks: 17 pages
The source file(s), mat01.cls: 37258 bytes, mathtimy.sty: 20 bytes,
pm2745new.tex: 58553 bytes, is(are) stored in gzipped form as
0607619.tar.gz with size 26kb. The corresponding postcript file has
gzipped size 61kb.
Submitted from: o.valero at uib.es
The paper may be downloaded from the archive by web browser from
URL
http://front.math.ucdavis.edu/math.FA/0607619
or
http://arXiv.org/abs/math.FA/0607619
or by email in unzipped form by transmitting an empty message with
subject line
uget 0607619
or in gzipped form by using subject line
get 0607619
to: math at arXiv.org.
From alspach at www.math.okstate.edu Wed Aug 2 16:55:53 2006
Return-Path: <alspach at www.math.okstate.edu>
Received: from www.math.okstate.edu (localhost.math.okstate.edu [127.0.0.1])
by www.math.okstate.edu (8.13.3/8.13.3) with ESMTP id k72LtrvF028749;
Wed, 2 Aug 2006 16:55:53 -0500 (CDT)
(envelope-from alspach at www.math.okstate.edu)
Received: (from alspach at localhost)
by www.math.okstate.edu (8.13.3/8.13.3/Submit) id k72LtrtF028748;
Wed, 2 Aug 2006 16:55:53 -0500 (CDT)
(envelope-from alspach)
Date: Wed, 2 Aug 2006 16:55:53 -0500 (CDT)
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200608022155.k72LtrtF028748 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Erwin Lutwak, Deane Yang, and Gaoyong Zhang
Status: R
This is an announcement for the paper "Volume inequalities for
isotropic measures" by Erwin Lutwak, Deane Yang, and Gaoyong Zhang.
Abstract: A direct approach to Ball's simplex inequality is presented.
This approach, which does not use the Brascamp-Lieb inequality,
also gives Barthe's characterization of the simplex for Ball's
inequality and extends it from discrete to arbitrary measures. It
also yields the dual inequality, along with equality conditions,
and it does both for arbitrary measures.
Archive classification: Metric Geometry; Functional Analysis
Mathematics Subject Classification: 52A40
Remarks: 10 pages, to appear in American Journal of Mathematics
The source file(s), bb2_copy7.tex: 32473 bytes, is(are) stored in
gzipped form as 0607753.gz with size 10kb. The corresponding postcript
file has gzipped size 45kb.
Submitted from: dyang at poly.edu
The paper may be downloaded from the archive by web browser from
URL
http://front.math.ucdavis.edu/math.MG/0607753
or
http://arXiv.org/abs/math.MG/0607753
or by email in unzipped form by transmitting an empty message with
subject line
uget 0607753
or in gzipped form by using subject line
get 0607753
to: math at arXiv.org.
From alspach at www.math.okstate.edu Wed Aug 2 16:57:22 2006
Return-Path: <alspach at www.math.okstate.edu>
Received: from www.math.okstate.edu (localhost.math.okstate.edu [127.0.0.1])
by www.math.okstate.edu (8.13.3/8.13.3) with ESMTP id k72LvMVZ028784;
Wed, 2 Aug 2006 16:57:22 -0500 (CDT)
(envelope-from alspach at www.math.okstate.edu)
Received: (from alspach at localhost)
by www.math.okstate.edu (8.13.3/8.13.3/Submit) id k72LvMqN028783;
Wed, 2 Aug 2006 16:57:22 -0500 (CDT)
(envelope-from alspach)
Date: Wed, 2 Aug 2006 16:57:22 -0500 (CDT)
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200608022157.k72LvMqN028783 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Yunan Cui, Henryk Hudzik, Narin Petrot, Suthep Suantai and Alicja Szymaszkiewicz
Status: R
This is an announcement for the paper "Basic topological and geometric
properties of Cesaro--Orlicz spaces" by Yunan Cui, Henryk Hudzik,
Narin Petrot, Suthep Suantai and Alicja Szymaszkiewicz.
Abstract: Necessary and sufficient conditions under which the
Cesaro--Orlicz sequence space $\cfi$ is nontrivial are presented.
It is proved that for the Luxemburg norm, Cesaro--Orlicz spaces
$\cfi$ have the Fatou property. Consequently, the spaces are
complete. It is also proved that the subspace of order continuous
elements in $\cfi$ can be defined in two ways. Finally, criteria
for strict monotonicity, uniform monotonicity and rotundity (=
strict convexity) of the spaces $\cfi$ are given.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B20, 46B45, 46E30
Remarks: 16 pages
The source file(s), mat01.cls: 37258 bytes, mathtimy.sty: 20 bytes,
pm2563new.tex: 46836 bytes, is(are) stored in gzipped form as
0607730.tar.gz with size 23kb. The corresponding postcript file has
gzipped size 55kb.
Submitted from: Yunan Cui, Henryk Hudzik, Narin Petrot, Suthep
Suantai and Alicja Szymasz
The paper may be downloaded from the archive by web browser from
URL
http://front.math.ucdavis.edu/math.FA/0607730
or
http://arXiv.org/abs/math.FA/0607730
or by email in unzipped form by transmitting an empty message with
subject line
uget 0607730
or in gzipped form by using subject line
get 0607730
to: math at arXiv.org.
From alspach at www.math.okstate.edu Wed Aug 2 16:58:09 2006
Return-Path: <alspach at www.math.okstate.edu>
Received: from www.math.okstate.edu (localhost.math.okstate.edu [127.0.0.1])
by www.math.okstate.edu (8.13.3/8.13.3) with ESMTP id k72Lw9s5028815;
Wed, 2 Aug 2006 16:58:09 -0500 (CDT)
(envelope-from alspach at www.math.okstate.edu)
Received: (from alspach at localhost)
by www.math.okstate.edu (8.13.3/8.13.3/Submit) id k72Lw88p028814;
Wed, 2 Aug 2006 16:58:08 -0500 (CDT)
(envelope-from alspach)
Date: Wed, 2 Aug 2006 16:58:08 -0500 (CDT)
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200608022158.k72Lw88p028814 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
Status: R
This is an announcement for the paper "On Gateaux differentiability
of pointwise Lipschitz mappings" by Jakub Duda.
Abstract: We prove that for every function $f:X\to Y$, where $X$
is a separable Banach space and $Y$ is a Banach space with RNP,
there exists a set $A\in\tilde\mcA$ such that $f$ is Gateaux
differentiable at all $x\in S(f)\setminus A$, where $S(f)$ is the
set of points where $f$ is pointwise-Lipschitz. This improves a
result of Bongiorno. As a corollary, we obtain that every $K$-monotone
function on a separable Banach space is Hadamard differentiable
outside of a set belonging to $\tilde\mcC$; this improves a result
due to Borwein and Wang. Another corollary is that if $X$ is
Asplund, $f:X\to\R$ cone monotone, $g:X\to\R$ continuous convex,
then there exists a point in $X$, where $f$ is Hadamard differentiable
and $g$ is Frechet differentiable.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46G05; 46T20
Remarks: 11 pages; updated version
The source file(s), ongatdif.tex: 43273 bytes, is(are) stored in
gzipped form as 0511565.gz with size 13kb. The corresponding postcript
file has gzipped size 61kb.
Submitted from: jakub.duda at weizmann.ac.il
The paper may be downloaded from the archive by web browser from
URL
http://front.math.ucdavis.edu/math.FA/0511565
or
http://arXiv.org/abs/math.FA/0511565
or by email in unzipped form by transmitting an empty message with
subject line
uget 0511565
or in gzipped form by using subject line
get 0511565
to: math at arXiv.org.
From alspach at www.math.okstate.edu Wed Aug 2 17:02:36 2006
Return-Path: <alspach at www.math.okstate.edu>
Received: from www.math.okstate.edu (localhost.math.okstate.edu [127.0.0.1])
by www.math.okstate.edu (8.13.3/8.13.3) with ESMTP id k72M2a6H028883;
Wed, 2 Aug 2006 17:02:36 -0500 (CDT)
(envelope-from alspach at www.math.okstate.edu)
Received: (from alspach at localhost)
by www.math.okstate.edu (8.13.3/8.13.3/Submit) id k72M2aVF028882;
Wed, 2 Aug 2006 17:02:36 -0500 (CDT)
(envelope-from alspach)
Date: Wed, 2 Aug 2006 17:02:36 -0500 (CDT)
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200608022202.k72M2aVF028882 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Mohsen Alimohammady
Status: R
This is an announcement for the paper "Containment of $\c_{\bf 0}$
and $\ell_{\bf 1}$ in $\Pi_{\bf 1} \hbox{\bf (}\E\hbox{\bf ,}\
\F\hbox{\bf )}$" by Mohsen Alimohammady.
Abstract: Suppose $\Pi_{1} (E, F)$ is the space of all absolutely
1-summing operators between two Banach spaces $E$ and $F$. We show
that if $F$ has a copy of $c_{0}$, then $\Pi_{1} (E, F)$ will have
a copy of $c_{0}$, and under some conditions if $E$ has a copy of
$\ell_{1}$ then $\Pi_{1} (E, F)$ would have a complemented copy of
$\ell_{1}$.
Archive classification: Functional Analysis
Mathematics Subject Classification: 47B10; 46B20
Remarks: 4 pages
The source file(s), mat01.cls: 37258 bytes, mathtimy.sty: 20 bytes,
pm2197new.tex: 11816 bytes, is(are) stored in gzipped form as
0607651.tar.gz with size 14kb. The corresponding postcript file has
gzipped size 25kb.
Submitted from: amohsen at umz.ac.ir
The paper may be downloaded from the archive by web browser from
URL
http://front.math.ucdavis.edu/math.FA/0607651
or
http://arXiv.org/abs/math.FA/0607651
or by email in unzipped form by transmitting an empty message with
subject line
uget 0607651
or in gzipped form by using subject line
get 0607651
to: math at arXiv.org.
From alspach at www.math.okstate.edu Wed Aug 23 11:49:57 2006
Return-Path: <alspach at www.math.okstate.edu>
Received: from www.math.okstate.edu (localhost.math.okstate.edu [127.0.0.1])
by www.math.okstate.edu (8.13.3/8.13.3) with ESMTP id k7NGnvCM034992;
Wed, 23 Aug 2006 11:49:57 -0500 (CDT)
(envelope-from alspach at www.math.okstate.edu)
Received: (from alspach at localhost)
by www.math.okstate.edu (8.13.3/8.13.3/Submit) id k7NGnvRP034991;
Wed, 23 Aug 2006 11:49:57 -0500 (CDT)
(envelope-from alspach)
Date: Wed, 23 Aug 2006 11:49:57 -0500 (CDT)
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200608231649.k7NGnvRP034991 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, V. Ferenczi, Denka Kutzarova and E. Odell
Status: R
This is an announcement for the paper "On strongly asymptotic
$\ell_p$ spaces and minimality" by S. J. Dilworth, V. Ferenczi,
Denka Kutzarova and E. Odell.
Abstract: We study Banach spaces X with a strongly asymptotic l_p
basis (any disjointly supported finite set of vectors far enough
out with respect to the basis behaves like l_p) which are minimal
(X embeds into every infinite dimensional subspace). In particular
such spaces embed into l_p.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B20, 46B45
Remarks: 12 pages, AMSLaTeX
The source file(s), dfko010206-archive.tex: 46987 bytes, is(are)
stored in gzipped form as 0608550.gz with size 15kb. The corresponding
postcript file has gzipped size 71kb.
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/0608550
or
http://arXiv.org/abs/math.FA/0608550
or by email in unzipped form by transmitting an empty message with
subject line
uget 0608550
or in gzipped form by using subject line
get 0608550
to: math at arXiv.org.
From alspach at www.math.okstate.edu Fri Aug 25 15:42:21 2006
Return-Path: <alspach at www.math.okstate.edu>
Received: from www.math.okstate.edu (localhost.math.okstate.edu [127.0.0.1])
by www.math.okstate.edu (8.13.3/8.13.3) with ESMTP id k7PKgLTC060637;
Fri, 25 Aug 2006 15:42:21 -0500 (CDT)
(envelope-from alspach at www.math.okstate.edu)
Received: (from alspach at localhost)
by www.math.okstate.edu (8.13.3/8.13.3/Submit) id k7PKgLUR060636;
Fri, 25 Aug 2006 15:42:21 -0500 (CDT)
(envelope-from alspach)
Date: Fri, 25 Aug 2006 15:42:21 -0500 (CDT)
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200608252042.k7PKgLUR060636 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 "Infinite asymptotic games"
by Christian Rosendal.
Abstract: We study infinite asymptotic games in Banach spaces with
an F.D.D. and prove that analytic games are determined by characterising
precisely the conditions for the players to have winning strategies.
These results are applied to characterise spaces embeddable into
$\ell_p$ sums of finite dimensional spaces, extending results of
Odell and Schlumprecht, and to study various notions of homogeneity
of bases and Banach spaces. These results are related to questions
of rapidity of subsequence extraction from normalised weakly null
sequences.
Archive classification: Functional Analysis; Logic
Mathematics Subject Classification: Primary: 46B03, Secondary 03E15
The source file(s), AsymptoticGames18.tex: 61261 bytes, is(are)
stored in gzipped form as 0608616.gz with size 19kb. The corresponding
postcript file has gzipped size 83kb.
Submitted from: rosendal at math.uiuc.edu
The paper may be downloaded from the archive by web browser from
URL
http://front.math.ucdavis.edu/math.FA/0608616
or
http://arXiv.org/abs/math.FA/0608616
or by email in unzipped form by transmitting an empty message with
subject line
uget 0608616
or in gzipped form by using subject line
get 0608616
to: math at arXiv.org.
From alspach at www.math.okstate.edu Tue Aug 29 13:34:32 2006
Return-Path: <alspach at www.math.okstate.edu>
Received: from www.math.okstate.edu (localhost.math.okstate.edu [127.0.0.1])
by www.math.okstate.edu (8.13.3/8.13.3) with ESMTP id k7TIYWmO007769;
Tue, 29 Aug 2006 13:34:32 -0500 (CDT)
(envelope-from alspach at www.math.okstate.edu)
Received: (from alspach at localhost)
by www.math.okstate.edu (8.13.3/8.13.3/Submit) id k7TIYWm7007768;
Tue, 29 Aug 2006 13:34:32 -0500 (CDT)
(envelope-from alspach)
Date: Tue, 29 Aug 2006 13:34:32 -0500 (CDT)
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200608291834.k7TIYWm7007768 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Shahar Mendelson, Alain Pajor and Nicole Tomczak-Jaegermann
Status: R
This is an announcement for the paper "Uniform uncertainty principle
for Bernoulli and subgaussian ensembles" by Shahar Mendelson, Alain
Pajor and Nicole Tomczak-Jaegermann.
Abstract: We present a simple solution to a question posed by Candes,
Romberg and Tao on the uniform uncertainty principle for Bernoulli
random matrices. More precisely, we show that a rectangular k*n
random subgaussian matrix (with k < n) has the property that by
arbitrarily extracting any m (with m < k) columns, the resulting
submatrices are arbitrarily close to (multiples of) isometries of
a Euclidean space. We obtain the optimal estimate for m as a function
of k,n and the degree of "closeness" to an isometry. We also give
a short and self-contained solution of the reconstruction problem
for sparse vectors.
Archive classification: Statistics; Functional Analysis
Mathematics Subject Classification: 46B07; 47B06; 41A05; 62G05;
94B75
Remarks: 15 pages; no figures; submitted
The source file(s), uup-arx-21-08.tex: 48079 bytes, is(are) stored
in gzipped form as 0608665.gz with size 16kb. The corresponding
postcript file has gzipped size 71kb.
Submitted from: alain.pajor at univ-mlv.fr
The paper may be downloaded from the archive by web browser from
URL
http://front.math.ucdavis.edu/math.ST/0608665
or
http://arXiv.org/abs/math.ST/0608665
or by email in unzipped form by transmitting an empty message with
subject line
uget 0608665
or in gzipped form by using subject line
get 0608665
to: math at arXiv.org.
From alspach at www.math.okstate.edu Tue Aug 29 13:35:28 2006
Return-Path: <alspach at www.math.okstate.edu>
Received: from www.math.okstate.edu (localhost.math.okstate.edu [127.0.0.1])
by www.math.okstate.edu (8.13.3/8.13.3) with ESMTP id k7TIZSlZ007813;
Tue, 29 Aug 2006 13:35:28 -0500 (CDT)
(envelope-from alspach at www.math.okstate.edu)
Received: (from alspach at localhost)
by www.math.okstate.edu (8.13.3/8.13.3/Submit) id k7TIZSJl007812;
Tue, 29 Aug 2006 13:35:28 -0500 (CDT)
(envelope-from alspach)
Date: Tue, 29 Aug 2006 13:35:28 -0500 (CDT)
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200608291835.k7TIZSJl007812 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.Cencelj, J.Dydak, J.Smrekar, and A.Vavpetic
Status: R
This is an announcement for the paper "Sublinear Higson corona and
Lipschitz extensions" by M.Cencelj, J.Dydak, J.Smrekar, and A.Vavpetic.
Abstract: The purpose of the paper is to characterize the dimension
of sublinear Higson corona $\nu_L(X)$ of $X$ in terms of Lipschitz
extensions of functions:
Theorem: Suppose $(X,d)$ is a proper metric space. The dimension
of the
sublinear Higson corona $\nu_L(X)$ of $X$ is the smallest integer
$m\ge 0$ with the following property: Any norm-preserving asymptotically
Lipschitz function $f'\colon A\to \R^{m+1}$, $A\subset X$, extends
to a norm-preserving asymptotically Lipschitz function $g'\colon
X\to \R^{m+1}$.
One should compare it to the result of Dranishnikov \cite{Dr1}
who
characterized the dimension of the Higson corona $\nu(X)$ of $X$
is the smallest integer $n\ge 0$ such that $\R^{n+1}$ is an absolute
extensor of $X$ in the asymptotic category $\AAA$ (that means any
proper asymptotically Lipschitz function $f\colon A\to \R^{n+1}$,
$A$ closed in $X$, extends to a proper asymptotically Lipschitz
function $f'\colon X\to \R^{n+1}$). \par
In \cite{Dr1} Dranishnikov introduced the category $\tilde \AAA$
whose objects
are pointed proper metric spaces $X$ and morphisms are asymptotically
Lipschitz functions $f\colon X\to Y$ such that there are constants
$b,c > 0$ satisfying
$|f(x)|\ge c\cdot |x|-b$ for all $x\in X$. We show $\dim(\nu_L(X))\leq
n$ if and only if $\R^{n+1}$ is an absolute
extensor of $X$ in the category $\tilde\AAA$. \par As an application
we reprove the following result of Dranishnikov and Smith \cite{DRS}:
Theorem: Suppose $(X,d)$ is a proper metric space of finite
asymptotic
Assouad-Nagata dimension $\asdim_{AN}(X)$. If $X$ is cocompact and
connected, then $\asdim_{AN}(X)$ equals the dimension of the sublinear
Higson corona $\nu_L(X)$ of $X$.
Archive classification: Metric Geometry; Functional Analysis;
Geometric Topology
Remarks: 13 pages
The source file(s), SublinearHigson.tex: 51559 bytes, is(are) stored
in gzipped form as 0608686.gz with size 15kb. The corresponding
postcript file has gzipped size 76kb.
Submitted from: dydak at math.utk.edu
The paper may be downloaded from the archive by web browser from
URL
http://front.math.ucdavis.edu/math.MG/0608686
or
http://arXiv.org/abs/math.MG/0608686
or by email in unzipped form by transmitting an empty message with
subject line
uget 0608686
or in gzipped form by using subject line
get 0608686
to: math at arXiv.org.
From alspach at www.math.okstate.edu Tue Sep 5 15:38:46 2006
Return-Path: <alspach at www.math.okstate.edu>
Received: from www.math.okstate.edu (localhost.math.okstate.edu [127.0.0.1])
by www.math.okstate.edu (8.13.3/8.13.3) with ESMTP id k85Kckw8086876;
Tue, 5 Sep 2006 15:38:46 -0500 (CDT)
(envelope-from alspach at www.math.okstate.edu)
Received: (from alspach at localhost)
by www.math.okstate.edu (8.13.3/8.13.3/Submit) id k85Kckim086875;
Tue, 5 Sep 2006 15:38:46 -0500 (CDT)
(envelope-from alspach)
Date: Tue, 5 Sep 2006 15:38:46 -0500 (CDT)
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200609052038.k85Kckim086875 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by George Androulakis, Gleb Sirotkin, and Vladimir G. Troitsky
Status: R
This is an announcement for the paper "Classes of strictly singular
operators and their products" by George Androulakis, Gleb Sirotkin,
and Vladimir G. Troitsky.
Abstract: V.~D. Milman proved in~\cite{Milman:70} that the product
of two strictly singular operators on $L_p[0,1]$ ($1\le p<\infty$)
or on $C[0,1]$ is compact. In this note we utilize Schreier families
$\mathcal{S}_\xi$ in order to define the class of $\mathcal{S}_\xi
$-strictly singular operators, and then we refine the technique of
Milman to show that certain products of operators from this class
are compact, under the assumption that the underlying Banach space
has finitely many equivalence classes of Schreier-spreading sequences.
Finally we define the class of ${\mathcal S}_\xi$-hereditarily
indecomposable Banach spaces and we examine the operators on them.
Archive classification: Functional Analysis
Mathematics Subject Classification: 47B07, 47A15
The source file(s), compactproducts.tex: 76155 bytes, is(are) stored
in gzipped form as 0609039.gz with size 22kb. The corresponding
postcript file has gzipped size 102kb.
Submitted from: giorgis at math.sc.edu
The paper may be downloaded from the archive by web browser from
URL
http://front.math.ucdavis.edu/math.FA/0609039
or
http://arXiv.org/abs/math.FA/0609039
or by email in unzipped form by transmitting an empty message with
subject line
uget 0609039
or in gzipped form by using subject line
get 0609039
to: math at arXiv.org.
From alspach at www.math.okstate.edu Sat Sep 9 08:02:32 2006
Return-Path: <alspach at www.math.okstate.edu>
Received: from www.math.okstate.edu (localhost.math.okstate.edu [127.0.0.1])
by www.math.okstate.edu (8.13.3/8.13.3) with ESMTP id k89D2WvA033866;
Sat, 9 Sep 2006 08:02:32 -0500 (CDT)
(envelope-from alspach at www.math.okstate.edu)
Received: (from alspach at localhost)
by www.math.okstate.edu (8.13.3/8.13.3/Submit) id k89D2W5D033865;
Sat, 9 Sep 2006 08:02:32 -0500 (CDT)
(envelope-from alspach)
Date: Sat, 9 Sep 2006 08:02:32 -0500 (CDT)
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200609091302.k89D2W5D033865 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 "A problem of Kusner on
equilateral sets" by Konrad J. Swanepoel.
Abstract: R. B. Kusner [R. Guy, Amer. Math. Monthly 90 (1983),
196--199] asked whether a set of vectors in a d-dimensional real
vector space such that the l-p distance between any pair is 1, has
cardinality at most d+1. We show that this is true for p=4 and any
d >= 1, and false for all 1<p<2 with d sufficiently large, depending
on p.
More generally we show that the maximum cardinality is at most
$(2\lceil p/4\rceil-1)d+1$ if p is an even integer, and at least
$(1+\epsilon_p)d$ if 1<p<2, where $\epsilon_p>0$ depends on p.
Archive classification: Metric Geometry; Functional Analysis
Mathematics Subject Classification: 52C10 (Primary) 52A21, 46B20
(Secondary)
Citation: Archiv der Mathematik (Basel) 83 (2004), no. 2, 164--170
Remarks: 6 pages. Small correction to Proposition 2
The source file(s), kusner-corrected.tex: 19322 bytes, is(are)
stored in gzipped form as 0309317.gz with size 7kb. The corresponding
postcript file has gzipped size 43kb.
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/0309317
or
http://arXiv.org/abs/math.MG/0309317
or by email in unzipped form by transmitting an empty message with
subject line
uget 0309317
or in gzipped form by using subject line
get 0309317
to: math at arXiv.org.
From alspach at www.math.okstate.edu Fri Oct 6 16:26:54 2006
Return-Path: <alspach at www.math.okstate.edu>
Received: from www.math.okstate.edu (localhost.math.okstate.edu [127.0.0.1])
by www.math.okstate.edu (8.13.3/8.13.3) with ESMTP id k96LQseR069579;
Fri, 6 Oct 2006 16:26:54 -0500 (CDT)
(envelope-from alspach at www.math.okstate.edu)
Received: (from alspach at localhost)
by www.math.okstate.edu (8.13.3/8.13.3/Submit) id k96LQsKr069578;
Fri, 6 Oct 2006 16:26:54 -0500 (CDT)
(envelope-from alspach)
Date: Fri, 6 Oct 2006 16:26:54 -0500 (CDT)
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200610062126.k96LQsKr069578 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Matthieu Fradelizi and Mathieu Meyer
Status: R
This is an announcement for the paper "Some functional forms of
Blaschke-Santal\'o inequality" by Matthieu Fradelizi and Mathieu
Meyer.
Abstract: We establish new functional versions of the Blaschke-Santal\'o
inequality on the volume product of a convex body which generalize
to the non-symmetric setting an inequality of K.~Ball and we give
a simple proof of the case of equality. As a corollary, we get some
inequalities for $\log$-concave functions and Legendre transforms
which extend the recent result of Artstein, Klartag and Milman,
with its equality case.
Archive classification: Functional Analysis; Metric Geometry
Mathematics Subject Classification: 52A40
Remarks: 19 pages, to appear in Mathematische Zeitschrift
The source file(s), Blaschke-Santalo-final.tex: 48038 bytes, is(are)
stored in gzipped form as 0609553.gz with size 15kb. The corresponding
postcript file has gzipped size 71kb.
Submitted from: matthieu.fradelizi at univ-mlv.fr
The paper may be downloaded from the archive by web browser from
URL
http://front.math.ucdavis.edu/math.FA/0609553
or
http://arXiv.org/abs/math.FA/0609553
or by email in unzipped form by transmitting an empty message with
subject line
uget 0609553
or in gzipped form by using subject line
get 0609553
to: math at arXiv.org.
From alspach at www.math.okstate.edu Fri Oct 6 16:28:46 2006
Return-Path: <alspach at www.math.okstate.edu>
Received: from www.math.okstate.edu (localhost.math.okstate.edu [127.0.0.1])
by www.math.okstate.edu (8.13.3/8.13.3) with ESMTP id k96LSkxE069617;
Fri, 6 Oct 2006 16:28:46 -0500 (CDT)
(envelope-from alspach at www.math.okstate.edu)
Received: (from alspach at localhost)
by www.math.okstate.edu (8.13.3/8.13.3/Submit) id k96LSkD4069616;
Fri, 6 Oct 2006 16:28:46 -0500 (CDT)
(envelope-from alspach)
Date: Fri, 6 Oct 2006 16:28:46 -0500 (CDT)
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200610062128.k96LSkD4069616 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Frank Oertel and Mark Owen
Status: R
This is an announcement for the paper "Utility-based super-replication
prices of unbounded contingent claims and duality of cones" by
Frank Oertel and Mark Owen.
Abstract: Consider a financial market in which an agent trades with
utility-induced restrictions on wealth. We prove that the utility-based
super-replication price of an unbounded (but sufficiently integrable)
contingent claim is equal to the supremum of its discounted
expectations under pricing measures with finite entropy. Central
to our proof is the representation of a cone $C_\V$ of utility-based
super-replicable contingent claims as the polar cone of the set of
finite entropy separating measures. $C_\V$ is shown to be the
closure, under a relevant weak topology, of the cone of all
(sufficiently integrable) contingent claims that can be dominated
by a zero-financed terminal wealth. As our approach shows, those
terminal wealths need {\it not} necessarily stem from {\it admissible}
trading strategies only.
We investigate also the natural dual of this result, and show
that the polar cone of $C_\V$ is the cone generated by separating
measures with {\it finite loss-entropy}. For an agent whose utility
function is unbounded from above, the set of pricing measures with
finite loss-entropy can be slightly larger than the set of pricing
measures with finite entropy. Indeed, we prove that the former set
is the closure of the latter under a suitable weak topology.
Finally, we show how our framework can be applied to another field
of mathematical economics and how it sheds a different light on
Farkas' Lemma and its infinite dimensional version there.
Archive classification: Probability; Functional Analysis; Optimization
and Control
Mathematics Subject Classification: 1B16, 46N10, 60G44
The source file(s), Final_Version_17_01_06_submitted.tex: 56116
bytes, is(are) stored in gzipped form as 0609402.gz with size 17kb.
The corresponding postcript file has gzipped size 82kb.
Submitted from: f.oertel at ucc.ie
The paper may be downloaded from the archive by web browser from
URL
http://front.math.ucdavis.edu/math.PR/0609402
or
http://arXiv.org/abs/math.PR/0609402
or by email in unzipped form by transmitting an empty message with
subject line
uget 0609402
or in gzipped form by using subject line
get 0609402
to: math at arXiv.org.
From alspach at www.math.okstate.edu Fri Oct 6 16:30:57 2006
Return-Path: <alspach at www.math.okstate.edu>
Received: from www.math.okstate.edu (localhost.math.okstate.edu [127.0.0.1])
by www.math.okstate.edu (8.13.3/8.13.3) with ESMTP id k96LUvEX069671;
Fri, 6 Oct 2006 16:30:57 -0500 (CDT)
(envelope-from alspach at www.math.okstate.edu)
Received: (from alspach at localhost)
by www.math.okstate.edu (8.13.3/8.13.3/Submit) id k96LUvMX069670;
Fri, 6 Oct 2006 16:30:57 -0500 (CDT)
(envelope-from alspach)
Date: Fri, 6 Oct 2006 16:30:57 -0500 (CDT)
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200610062130.k96LUvMX069670 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Frank Oertel and Mark Owen
Status: R
This is an announcement for the paper "On utility-based super-replication
prices of contingent claims with unbounded payoffs" by Frank
Oertel and Mark Owen.
Abstract: Consider a financial market in which an agent trades with
utility-induced restrictions on wealth. For a utility function which
satisfies the condition of reasonable asymptotic elasticity at
$-\infty$ we prove that the utility-based super-replication price
of an unbounded (but sufficiently integrable) contingent claim is
equal to the supremum of its discounted expectations under pricing
measures with finite {\it loss-entropy}. For an agent whose utility
function is unbounded from above, the set of pricing measures with
finite loss-entropy can be slightly larger than the set of pricing
measures with finite entropy. Indeed, the former set is the closure
of the latter under a suitable weak topology.
Central to our proof is the representation of a cone $C_U$ of
utility-based super-replicable contingent claims as the polar cone
to the set of finite loss-entropy pricing measures. The cone $C_U$
is defined as the closure, under a relevant weak topology, of the
cone of all (sufficiently integrable) contingent claims that can
be dominated by a zero-financed terminal wealth.
We investigate also the natural dual of this result and show that
the polar cone to $C_U$ is generated by those separating measures
with finite loss-entropy. The full two-sided polarity we achieve
between measures and contingent claims yields an economic justification
for the use of the cone $C_U$, and an open question.
Archive classification: Probability; Functional Analysis; Optimization
and Control
Mathematics Subject Classification: 1B16, 46N10, 60G44
The source file(s), 051102reversed.tex: 29375 bytes, is(are) stored
in gzipped form as 0609403.gz with size 10kb. The corresponding
postcript file has gzipped size 53kb.
Submitted from: f.oertel at ucc.ie
The paper may be downloaded from the archive by web browser from
URL
http://front.math.ucdavis.edu/math.PR/0609403
or
http://arXiv.org/abs/math.PR/0609403
or by email in unzipped form by transmitting an empty message with
subject line
uget 0609403
or in gzipped form by using subject line
get 0609403
to: math at arXiv.org.
From alspach at www.math.okstate.edu Fri Oct 6 16:36:23 2006
Return-Path: <alspach at www.math.okstate.edu>
Received: from www.math.okstate.edu (localhost.math.okstate.edu [127.0.0.1])
by www.math.okstate.edu (8.13.3/8.13.3) with ESMTP id k96LaNcP069732;
Fri, 6 Oct 2006 16:36:23 -0500 (CDT)
(envelope-from alspach at www.math.okstate.edu)
Received: (from alspach at localhost)
by www.math.okstate.edu (8.13.3/8.13.3/Submit) id k96LaNmc069731;
Fri, 6 Oct 2006 16:36:23 -0500 (CDT)
(envelope-from alspach)
Date: Fri, 6 Oct 2006 16:36:23 -0500 (CDT)
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200610062136.k96LaNmc069731 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.D. Voisei
Status: R
This is an announcement for the paper "The sum and chain rules for
maximal monotone operators" by M.D. Voisei.
Abstract: This paper is primarily concerned with the problem of
maximality for the sum $A+B$ and composition $L^{*}ML$ in non-reflexive
Banach space settings under qualifications constraints involving
the domains of $A,B,M$. Here $X$, $Y$ are Banach spaces with duals
$X^{*}$, $Y^{*}$, $A,B:X\rightrightarrows X^{*}$, $M:Y\rightrightarrows
Y^{*}$ are multi-valued maximal monotone operators, and $L:X\rightarrow
Y$ is linear bounded. Based on the Fitzpatrick function, new
characterizations for the maximality of an operator as well as
simpler proofs, improvements of previously known results, and several
new results on the topic are presented.
Archive classification: Functional Analysis
Mathematics Subject Classification: 47H05, 46N10
Remarks: 17 pages, submitted to Set-Valued Analysis
The source file(s), tscr.tex: 42800 bytes, is(are) stored in gzipped
form as 0609296.gz with size 12kb. The corresponding postcript file
has gzipped size 60kb.
Submitted from: mvoisei at utpa.edu
The paper may be downloaded from the archive by web browser from
URL
http://front.math.ucdavis.edu/math.FA/0609296
or
http://arXiv.org/abs/math.FA/0609296
or by email in unzipped form by transmitting an empty message with
subject line
uget 0609296
or in gzipped form by using subject line
get 0609296
to: math at arXiv.org.
From alspach at www.math.okstate.edu Fri Oct 6 16:37:22 2006
Return-Path: <alspach at www.math.okstate.edu>
Received: from www.math.okstate.edu (localhost.math.okstate.edu [127.0.0.1])
by www.math.okstate.edu (8.13.3/8.13.3) with ESMTP id k96LbMmE069764;
Fri, 6 Oct 2006 16:37:22 -0500 (CDT)
(envelope-from alspach at www.math.okstate.edu)
Received: (from alspach at localhost)
by www.math.okstate.edu (8.13.3/8.13.3/Submit) id k96LbMD5069763;
Fri, 6 Oct 2006 16:37:22 -0500 (CDT)
(envelope-from alspach)
Date: Fri, 6 Oct 2006 16:37:22 -0500 (CDT)
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200610062137.k96LbMD5069763 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Fran\c coise Lust-Piquard and Quanhua Xu
Status: R
This is an announcement for the paper "The little Grothendieck
theorem and Khintchine inequalities for symmetric spaces of
measurable operators" by Fran\c coise Lust-Piquard and Quanhua Xu.
Abstract: We prove the little Grothendieck theorem for any 2-convex
noncommutative symmetric space. Let $\M$ be a von Neumann algebra
equipped with a normal faithful semifinite trace $\t$, and let $E$
be an r.i. space on $(0,\;\8)$. Let $E(\M)$ be the associated
symmetric space of measurable operators. Then to any bounded linear
map $T$ from $E(\M)$ into a Hilbert space $\mathcal H$ corresponds
a positive norm one functional $f\in E_{(2)}(\M)^*$ such that
$$\forall\; x\in E(\M)\quad \|T(x)\|^2\le K^2\,\|T\|^2 f(x^*x+xx^*),$$
where
$E_{(2)}$ denotes the 2-concavification of $E$ and $K$ is a universal
constant. As a consequence we obtain the noncommutative Khintchine
inequalities for $E(\M)$ when $E$ is either 2-concave or 2-convex
and $q$-concave for some $q<\8$. We apply these results to the study
of Schur multipliers from a 2-convex unitary ideal into a 2-concave
one.
Archive classification: Functional Analysis; Operator Algebras
Mathematics Subject Classification: Primary 46L52; Secondary 46L50;
47A63
Remarks: 14 pages. To appear in J. Funct. Anal
The source file(s), petitgro.tex: 50432 bytes, is(are) stored in
gzipped form as 0609356.gz with size 16kb. The corresponding postcript
file has gzipped size 74kb.
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/0609356
or
http://arXiv.org/abs/math.FA/0609356
or by email in unzipped form by transmitting an empty message with
subject line
uget 0609356
or in gzipped form by using subject line
get 0609356
to: math at arXiv.org.
From alspach at www.math.okstate.edu Tue Oct 10 19:01:04 2006
Return-Path: <alspach at www.math.okstate.edu>
Received: from www.math.okstate.edu (localhost.math.okstate.edu [127.0.0.1])
by www.math.okstate.edu (8.13.3/8.13.3) with ESMTP id k9B014Tt016582;
Tue, 10 Oct 2006 19:01:04 -0500 (CDT)
(envelope-from alspach at www.math.okstate.edu)
Received: (from alspach at localhost)
by www.math.okstate.edu (8.13.3/8.13.3/Submit) id k9B014jl016581;
Tue, 10 Oct 2006 19:01:04 -0500 (CDT)
(envelope-from alspach)
Date: Tue, 10 Oct 2006 19:01:04 -0500 (CDT)
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200610110001.k9B014jl016581 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, Alain Louveau, and Christian Rosendal
Status: R
This is an announcement for the paper "The complexity of classifying
separable Banach spaces up to isomorphism" by Valentin Ferenczi,
Alain Louveau, and Christian Rosendal.
Abstract: It is proved that the relation of isomorphism between
separable Banach spaces is a complete analytic equivalence relation,
i.e., that any analytic equivalence relation Borel reduces to it.
Thus, separable Banach spaces up to isomorphism provide complete
invariants for a great number of mathematical structures up to their
corresponding notion of isomorphism. The same is shown to hold for
(1) complete separable metric spaces up to uniform homeomorphism,
(2) separable Banach spaces up to Lipschitz isomorphism, and (3)
up to (complemented) biembeddability, (4) Polish groups up to
topological isomorphism, and (5) Schauder bases up to permutative
equivalence. Some of the constructions rely on methods recently
developed by S. Argyros and P. Dodos.
Archive classification: Functional Analysis; Logic
Mathematics Subject Classification: 46B03; 03E15
The source file(s), ComplexityIsomorphism14.tex: 82408 bytes, is(are)
stored in gzipped form as 0610289.gz with size 25kb. The corresponding
postcript file has gzipped size 101kb.
Submitted from: rosendal at math.uiuc.edu
The paper may be downloaded from the archive by web browser from
URL
http://front.math.ucdavis.edu/math.FA/0610289
or
http://arXiv.org/abs/math.FA/0610289
or by email in unzipped form by transmitting an empty message with
subject line
uget 0610289
or in gzipped form by using subject line
get 0610289
to: math at arXiv.org.
From alspach at www.math.okstate.edu Tue Oct 10 19:01:33 2006
Return-Path: <alspach at www.math.okstate.edu>
Received: from www.math.okstate.edu (localhost.math.okstate.edu [127.0.0.1])
by www.math.okstate.edu (8.13.3/8.13.3) with ESMTP id k9B01XuR016613;
Tue, 10 Oct 2006 19:01:33 -0500 (CDT)
(envelope-from alspach at www.math.okstate.edu)
Received: (from alspach at localhost)
by www.math.okstate.edu (8.13.3/8.13.3/Submit) id k9B01XfN016612;
Tue, 10 Oct 2006 19:01:33 -0500 (CDT)
(envelope-from alspach)
Date: Tue, 10 Oct 2006 19:01:33 -0500 (CDT)
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200610110001.k9B01XfN016612 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Hun Hee Lee
Status: R
This is an announcement for the paper "Unconditionality with respect
to orthonormal systems in noncommutative $L_2$ spaces" by Hun Hee
Lee.
Abstract: Orthonormal systems in commutative $L_2$ spaces can be
used to classify Banach spaces. When the system is complete and
satisfies certain norm condition the unconditionality with respect
to the system characterizes Hilbert spaces. As a noncommutative
analogue we introduce the notion of unconditionality of operator
spaces with respect to orthonormal systems in noncommutative $L_2$
spaces and show that the unconditionality characterizes operator
Hilbert spaces when the system is complete and satisfy certain norm
condition. The proof of the main result heavily depends on free
probabilistic tools such as contraction principle for $*$-free Haar
unitaries, comparision of averages with respect to $*$-free Haar
unitaries and $*$-free circular elements and $K$-covexity, type 2
and cotype 2 with respect to $*$-free circular elements.
Archive classification: Functional Analysis; Operator Algebras
Mathematics Subject Classification: 47L25; 46L53
Remarks: 18 pages
The source file(s), Unc-NoncomONS.tex: 56149 bytes, is(are) stored
in gzipped form as 0610245.gz with size 15kb. The corresponding
postcript file has gzipped size 92kb.
Submitted from: lee.hunhee at gmail.com
The paper may be downloaded from the archive by web browser from
URL
http://front.math.ucdavis.edu/math.FA/0610245
or
http://arXiv.org/abs/math.FA/0610245
or by email in unzipped form by transmitting an empty message with
subject line
uget 0610245
or in gzipped form by using subject line
get 0610245
to: math at arXiv.org.
From alspach at www.math.okstate.edu Thu Oct 12 21:35:42 2006
Return-Path: <alspach at www.math.okstate.edu>
Received: from www.math.okstate.edu (localhost.math.okstate.edu [127.0.0.1])
by www.math.okstate.edu (8.13.3/8.13.3) with ESMTP id k9D2ZgQH005112;
Thu, 12 Oct 2006 21:35:42 -0500 (CDT)
(envelope-from alspach at www.math.okstate.edu)
Received: (from alspach at localhost)
by www.math.okstate.edu (8.13.3/8.13.3/Submit) id k9D2ZgNT005111;
Thu, 12 Oct 2006 21:35:42 -0500 (CDT)
(envelope-from alspach)
Date: Thu, 12 Oct 2006 21:35:42 -0500 (CDT)
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200610130235.k9D2ZgNT005111 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Rajesh Mahadevan
Status: R
This is an announcement for the paper "A note on a non-linear
Krein-Rutman theorem" by Rajesh Mahadevan.
Abstract: In this note we will present an extension of the Krein-Rutman
theorem for an abstract nonlinear, compact, positively 1-homogeneous,
monotone non-decreasing operators on a Banach space and apply the
result to many nonlinear elliptic partial differential operators.
Archive classification: Functional Analysis; Analysis of PDEs
Mathematics Subject Classification: 47H12,47H11
The source file(s), nlKRt-rev1.tex: 28673 bytes, is(are) stored in
gzipped form as 0610336.gz with size 10kb. The corresponding postcript
file has gzipped size 47kb.
Submitted from: rmahadevan at udec.cl
The paper may be downloaded from the archive by web browser from
URL
http://front.math.ucdavis.edu/math.FA/0610336
or
http://arXiv.org/abs/math.FA/0610336
or by email in unzipped form by transmitting an empty message with
subject line
uget 0610336
or in gzipped form by using subject line
get 0610336
to: math at arXiv.org.
From alspach at www.math.okstate.edu Fri Oct 13 17:07:48 2006
Return-Path: <alspach at www.math.okstate.edu>
Received: from www.math.okstate.edu (localhost.math.okstate.edu [127.0.0.1])
by www.math.okstate.edu (8.13.3/8.13.3) with ESMTP id k9DM7mQO016530;
Fri, 13 Oct 2006 17:07:48 -0500 (CDT)
(envelope-from alspach at www.math.okstate.edu)
Received: (from alspach at localhost)
by www.math.okstate.edu (8.13.3/8.13.3/Submit) id k9DM7mfY016529;
Fri, 13 Oct 2006 17:07:48 -0500 (CDT)
(envelope-from alspach)
Date: Fri, 13 Oct 2006 17:07:48 -0500 (CDT)
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200610132207.k9DM7mfY016529 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Richard Haydon
Status: R
This is an announcement for the paper "Locally uniformly convex
norms in Banach spaces and their duals" by Richard Haydon.
Abstract: It is shown that a Banach space with locally uniformly
convex dual admits an equivalent norm which is itself locally
uniformly convex. It follows that on any such space all continuous
real-valued functions may be uniformly approximated by C^1 functions.
Archive classification: Functional Analysis; General Topology
Mathematics Subject Classification: 46B20
The source file(s), LURnormsAndDuals.tex: 50635 bytes, is(are)
stored in gzipped form as 0610420.gz with size 15kb. The corresponding
postcript file has gzipped size 65kb.
Submitted from: richard.haydon at bnc.ox.ac.uk
The paper may be downloaded from the archive by web browser from
URL
http://front.math.ucdavis.edu/math.FA/0610420
or
http://arXiv.org/abs/math.FA/0610420
or by email in unzipped form by transmitting an empty message with
subject line
uget 0610420
or in gzipped form by using subject line
get 0610420
to: math at arXiv.org.
From alspach at www.math.okstate.edu Fri Oct 13 17:12:14 2006
Return-Path: <alspach at www.math.okstate.edu>
Received: from www.math.okstate.edu (localhost.math.okstate.edu [127.0.0.1])
by www.math.okstate.edu (8.13.3/8.13.3) with ESMTP id k9DMCETx016591;
Fri, 13 Oct 2006 17:12:14 -0500 (CDT)
(envelope-from alspach at www.math.okstate.edu)
Received: (from alspach at localhost)
by www.math.okstate.edu (8.13.3/8.13.3/Submit) id k9DMCEtF016590;
Fri, 13 Oct 2006 17:12:14 -0500 (CDT)
(envelope-from alspach)
Date: Fri, 13 Oct 2006 17:12:14 -0500 (CDT)
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200610132212.k9DMCEtF016590 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Luis Rademacher, Santosh Vempala
Status: R
This is an announcement for the paper "Dispersion of mass and the
complexity of randomized geometric algorithms" by Luis Rademacher,
Santosh Vempala.
Abstract: How much can randomness help computation? Motivated by
this general question and by volume computation, one of the few
instances where randomness provably helps, we analyze a notion of
dispersion and connect it to asymptotic convex geometry. We obtain
a nearly quadratic lower bound on the complexity of randomized
volume algorithms for convex bodies in R^n (the current best algorithm
has complexity roughly n^4, conjectured to be n^3). Our main tools,
dispersion of random determinants and dispersion of the length of
a random point from a convex body, are of independent interest and
applicable more generally; in particular, the latter is closely
related to the variance hypothesis from convex geometry. This
geometric dispersion also leads to lower bounds for matrix problems
and property testing.
Archive classification: Computational Complexity; Computational
Geometry; Data Structures; Functional Analysis
The paper may be downloaded from the archive by web browser from
URL
http://arXiv.org/abs/cs.CC/0608054
or by email in unzipped form by transmitting an empty message with
subject line
uget 0608054
or in gzipped form by using subject line
get 0608054
to: cs at arXiv.org.
From alspach at www.math.okstate.edu Mon Oct 16 14:35:22 2006
Return-Path: <alspach at www.math.okstate.edu>
Received: from www.math.okstate.edu (localhost.math.okstate.edu [127.0.0.1])
by www.math.okstate.edu (8.13.3/8.13.3) with ESMTP id k9GJZMr9052415;
Mon, 16 Oct 2006 14:35:22 -0500 (CDT)
(envelope-from alspach at www.math.okstate.edu)
Received: (from alspach at localhost)
by www.math.okstate.edu (8.13.3/8.13.3/Submit) id k9GJZMUC052414;
Mon, 16 Oct 2006 14:35:22 -0500 (CDT)
(envelope-from alspach)
Date: Mon, 16 Oct 2006 14:35:22 -0500 (CDT)
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200610161935.k9GJZMUC052414 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Petr Hajek and Richard Haydon
Status: R
This is an announcement for the paper "Smooth norms and approximation
in Banach spaces of the type C(K)" by Petr Hajek and Richard Haydon.
Abstract: We prove two theorems about differentiable functions on
the Banach space C(K), where K is compact.
(i) If C(K) admits a non-trivial function of class C^m and of
bounded
support, then all continuous real-valued functions on C(K) may be
uniformly approximated by functions of class C^m.
(ii) If C(K) admits an equivalent norm with locally uniformly
convex dual
norm, then C(K) admits an equivalent norm which is of class C^m
(except at 0).
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B03; 46B26
The source file(s), SmoothNormsAndApprox.tex: 25237 bytes, is(are)
stored in gzipped form as 0610421.gz with size 9kb. The corresponding
postcript file has gzipped size 46kb.
Submitted from: richard.haydon at bnc.ox.ac.uk
The paper may be downloaded from the archive by web browser from
URL
http://front.math.ucdavis.edu/math.FA/0610421
or
http://arXiv.org/abs/math.FA/0610421
or by email in unzipped form by transmitting an empty message with
subject line
uget 0610421
or in gzipped form by using subject line
get 0610421
to: math at arXiv.org.
From alspach at www.math.okstate.edu Thu Oct 19 11:06:31 2006
Return-Path: <alspach at www.math.okstate.edu>
Received: from www.math.okstate.edu (localhost.math.okstate.edu [127.0.0.1])
by www.math.okstate.edu (8.13.3/8.13.3) with ESMTP id k9JG6VmQ089329;
Thu, 19 Oct 2006 11:06:31 -0500 (CDT)
(envelope-from alspach at www.math.okstate.edu)
Received: (from alspach at localhost)
by www.math.okstate.edu (8.13.3/8.13.3/Submit) id k9JG6VVR089328;
Thu, 19 Oct 2006 11:06:31 -0500 (CDT)
(envelope-from alspach)
Date: Thu, 19 Oct 2006 11:06:31 -0500 (CDT)
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200610191606.k9JG6VVR089328 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Jordi Lopez Abad and Stevo Todorcevic
Status: R
This is an announcement for the paper "A c_0-saturated Banach
space with no long unconditional basic sequences" by Jordi Lopez
Abad and Stevo Todorcevic.
Abstract: We present a Banach space $\mathfrak X$ with a Schauder
basis of length $\omega\_1$ which is saturated by copies of $c\_0$
and such that for every closed decomposition of a closed subspace
$X=X\_0\oplus X\_1$, either $X\_0$ or $X\_1$ has to be separable.
This can be considered as the non-separable counterpart of the
notion of hereditarily indecomposable space. Indeed, the subspaces
of $\mathfrak X$ have ``few operators'' in the sense that every
bounded operator $T:X \rightarrow \mathfrak{X}$ from a subspace $X$
of $\mathfrak{X}$ into $\mathfrak{X}$ is the sum of a multiple of
the inclusion and a $\omega\_1$-singular operator, i.e., an operator
$S$ which is not an isomorphism on any non-separable subspace of
$X$. We also show that while $\mathfrak{X}$ is not distortable
(being $c\_0$-saturated), it is arbitrarily $\omega\_1$-distortable
in the sense that for every $\lambda>1$ there is an equivalent norm
$\||\cdot \||$ on $\mathfrak{X}$ such that for every non-separable
subspace $X$ of $\mathfrak{X}$ there are $x,y\in S\_X$ such that
$\||\cdot \|| / \||\cdot \||\ge \la$.
Archive classification: Functional Analysis; Logic
Mathematics Subject Classification: MSC Primary 46B20, 03E02;
Secondary 46B26, 46B28
The source file(s), c0s-ouhi.tex: 63870 bytes, is(are) stored in
gzipped form as 0610562.gz with size 19kb. The corresponding postcript
file has gzipped size 84kb.
Submitted from: abad at logique.jussieu.fr
The paper may be downloaded from the archive by web browser from
URL
http://front.math.ucdavis.edu/math.FA/0610562
or
http://arXiv.org/abs/math.FA/0610562
or by email in unzipped form by transmitting an empty message with
subject line
uget 0610562
or in gzipped form by using subject line
get 0610562
to: math at arXiv.org.
From alspach at www.math.okstate.edu Thu Oct 19 11:07:28 2006
Return-Path: <alspach at www.math.okstate.edu>
Received: from www.math.okstate.edu (localhost.math.okstate.edu [127.0.0.1])
by www.math.okstate.edu (8.13.3/8.13.3) with ESMTP id k9JG7SpK089361;
Thu, 19 Oct 2006 11:07:28 -0500 (CDT)
(envelope-from alspach at www.math.okstate.edu)
Received: (from alspach at localhost)
by www.math.okstate.edu (8.13.3/8.13.3/Submit) id k9JG7SCC089360;
Thu, 19 Oct 2006 11:07:28 -0500 (CDT)
(envelope-from alspach)
Date: Thu, 19 Oct 2006 11:07:28 -0500 (CDT)
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200610191607.k9JG7SCC089360 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by J. Talponen
Status: R
This is an announcement for the paper "On asymptotic transitivity
in Banach spaces" by J. Talponen.
Abstract: We introduce a flexible almost isometric version of the
almost transitivity property of Banach spaces. With the help of
this new notion we generalize to several directions a strong recent
rotational characterization of Hilbert spaces due to Randrianantoanina.
This chracterization is a partial answer to the classical Banach-Mazur
rotation problem.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46C15; 46B04
Remarks: 15 pages
The source file(s), asyams.tex: 58021 bytes, is(are) stored in
gzipped form as 0610547.gz with size 17kb. The corresponding postcript
file has gzipped size 82kb.
Submitted from: talponen at cc.helsinki.fi
The paper may be downloaded from the archive by web browser from
URL
http://front.math.ucdavis.edu/math.FA/0610547
or
http://arXiv.org/abs/math.FA/0610547
or by email in unzipped form by transmitting an empty message with
subject line
uget 0610547
or in gzipped form by using subject line
get 0610547
to: math at arXiv.org.
From alspach at www.math.okstate.edu Thu Oct 26 08:18:08 2006
Return-Path: <alspach at www.math.okstate.edu>
Received: from www.math.okstate.edu (localhost.math.okstate.edu [127.0.0.1])
by www.math.okstate.edu (8.13.3/8.13.3) with ESMTP id k9QDI8Rg076057;
Thu, 26 Oct 2006 08:18:08 -0500 (CDT)
(envelope-from alspach at www.math.okstate.edu)
Received: (from alspach at localhost)
by www.math.okstate.edu (8.13.3/8.13.3/Submit) id k9QDI82H076056;
Thu, 26 Oct 2006 08:18:08 -0500 (CDT)
(envelope-from alspach)
Date: Thu, 26 Oct 2006 08:18:08 -0500 (CDT)
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200610261318.k9QDI82H076056 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Jan van Neerven, Mark Veraar, Lutz Weis
Status: R
This is an announcement for the paper "Stochastic integration in
UMD Banach spaces" by Jan van Neerven, Mark Veraar, Lutz Weis.
Abstract: In this paper we construct a theory of stochastic integration
of processes with values in $\calL(H,E)$, where $H$ is a separable
Hilbert space and $E$ is a UMD Banach space. The integrator is an
$H$-cylindrical Brownian motion. Our approach is based on a two-sided
$L^p$-decoupling inequality for UMD spaces due to Garling, which
is combined with the theory of stochastic integration of
$\calL(H,E)$-valued functions introduced recently by two of the
authors. We obtain various characterizations of the stochastic
integral and prove versions of the It\^o isometry, the
Burkholder-Davis-Gundy inequalities, and the representation theorem
for Brownian martingales.
Archive classification: Probability; Functional Analysis
Mathematics Subject Classification: 60H05; 28C20; 60B11
Remarks: To appear in the Annals of Probability
The source file(s), Paper_vanNeerven_Veraar_Weis.tex: 112246 bytes,
is(are) stored in gzipped form as 0610619.gz with size 32kb. The
corresponding postcript file has gzipped size 138kb.
Submitted from: m.c.veraar at tudelft.nl
The paper may be downloaded from the archive by web browser from
URL
http://front.math.ucdavis.edu/math.PR/0610619
or
http://arXiv.org/abs/math.PR/0610619
or by email in unzipped form by transmitting an empty message with
subject line
uget 0610619
or in gzipped form by using subject line
get 0610619
to: math at arXiv.org.
From alspach at www.math.okstate.edu Thu Oct 26 08:19:05 2006
Return-Path: <alspach at www.math.okstate.edu>
Received: from www.math.okstate.edu (localhost.math.okstate.edu [127.0.0.1])
by www.math.okstate.edu (8.13.3/8.13.3) with ESMTP id k9QDJ5sH076095;
Thu, 26 Oct 2006 08:19:05 -0500 (CDT)
(envelope-from alspach at www.math.okstate.edu)
Received: (from alspach at localhost)
by www.math.okstate.edu (8.13.3/8.13.3/Submit) id k9QDJ5jF076094;
Thu, 26 Oct 2006 08:19:05 -0500 (CDT)
(envelope-from alspach)
Date: Thu, 26 Oct 2006 08:19:05 -0500 (CDT)
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200610261319.k9QDJ5jF076094 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Nigel Kalton, Jan van Neerven, Mark Veraar, and Lutz Weis
Status: R
This is an announcement for the paper "Embedding vector-valued Besov
spaces into spaces of $\gamma$-radonifying operators" by Nigel
Kalton, Jan van Neerven, Mark Veraar, and Lutz Weis.
Abstract: It is shown that a Banach space $E$ has type $p$ if and
only for some (all) $d\ge 1$ the Besov space
$B_{p,p}^{(\frac1p-\frac12)d}(\R^d;E)$ embeds into the space
$\g(L^2(\R^d),E)$ of $\g$-radonifying operators $L^2(\R^d)\to E$.
A similar result characterizing cotype $q$ is obtained. These results
may be viewed as $E$-valued extensions of the classical Sobolev
embedding theorems.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B09; 46E35; 46E40
Remarks: To appear in Mathematische Nachrichten
The source file(s), besovArxiv.tex: 51566 bytes, is(are) stored in
gzipped form as 0610620.gz with size 16kb. The corresponding postcript
file has gzipped size 82kb.
Submitted from: m.c.veraar at tudelft.nl
The paper may be downloaded from the archive by web browser from
URL
http://front.math.ucdavis.edu/math.FA/0610620
or
http://arXiv.org/abs/math.FA/0610620
or by email in unzipped form by transmitting an empty message with
subject line
uget 0610620
or in gzipped form by using subject line
get 0610620
to: math at arXiv.org.
From alspach at www.math.okstate.edu Tue Oct 31 11:02:07 2006
Return-Path: <alspach at www.math.okstate.edu>
Received: from www.math.okstate.edu (localhost.math.okstate.edu [127.0.0.1])
by www.math.okstate.edu (8.13.3/8.13.3) with ESMTP id k9VH27Fm039087;
Tue, 31 Oct 2006 11:02:07 -0600 (CST)
(envelope-from alspach at www.math.okstate.edu)
Received: (from alspach at localhost)
by www.math.okstate.edu (8.13.3/8.13.3/Submit) id k9VH27Yt039086;
Tue, 31 Oct 2006 11:02:07 -0600 (CST)
(envelope-from alspach)
Date: Tue, 31 Oct 2006 11:02:07 -0600 (CST)
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200610311702.k9VH27Yt039086 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Greg Kuperberg
Status: R
This is an announcement for the paper "From the Mahler conjecture
to Gauss linking integrals" by Greg Kuperberg.
Abstract: We establish a version of the bottleneck conjecture, which
in turn implies a partial solution to the Mahler conjecture on the
product $v(K) = (\Vol K)(\Vol K^\circ)$ of the volume of a symmetric
convex body $K \in \R^n$ and its polar body $K^\circ$. The Mahler
conjecture asserts that the Mahler volume $v(K)$ is minimized
(non-uniquely) when $K$ is an $n$-cube. The bottleneck conjecture
(in its least general form) asserts that the volume of a certain
domain $K^\diamond \subset K \times K^\dual$ is minimized when $K$
is an ellipsoid. It implies the Mahler conjecture up to a factor
of $(\pi/4)^n \gamma_n$, where $\gamma_n$ is a monotonic factor
that begins at $4/\pi$ and converges to $\sqrt{2}$. This strengthen
a result of Bourgain and Milman, who showed that there is a constant
$c$ such that the Mahler conjecture is true up to a factor of $c^n$.
The proof uses a version of the Gauss linking integral to obtain
a constant lower bound on $\Vol K^\diamond$, with equality when $K$
is an ellipsoid. The proof applies to a more general bottleneck
conjecture concerning the join of any two necks of complementary
pseudospheres in an indefinite inner product space. Because the
calculations are similar, we will also analyze traditional Gauss
linking integrals in the sphere $S^{n-1}$ and in hyperbolic space
$H^{n-1}$.
Archive classification: Metric Geometry; Functional Analysis
Remarks: 9 pages, 4 figures
The source file(s), mahler.tex: 52417 bytes, is(are) stored in
gzipped form as 0610904.gz with size 18kb. The corresponding postcript
file has gzipped size 65kb.
Submitted from: greg at math.ucdavis.edu
The paper may be downloaded from the archive by web browser from
URL
http://front.math.ucdavis.edu/math.MG/0610904
or
http://arXiv.org/abs/math.MG/0610904
or by email in unzipped form by transmitting an empty message with
subject line
uget 0610904
or in gzipped form by using subject line
get 0610904
to: math at arXiv.org.
From banach-bounces at math.okstate.edu Tue Oct 31 17:32:49 2006
Return-Path: <banach-bounces at math.okstate.edu>
Received: from mail.math.okstate.edu (mail.math.okstate.edu [139.78.112.5])
by www.math.okstate.edu (8.13.3/8.13.3) with ESMTP id k9VNWnVI041065
for <alspach at www.math.okstate.edu>; Tue, 31 Oct 2006 17:32:49 -0600 (CST)
(envelope-from banach-bounces at math.okstate.edu)
Received: from mail.math.okstate.edu (localhost [127.0.0.1])
by mail.math.okstate.edu (Postfix) with ESMTP id B61A03F8E4;
Tue, 31 Oct 2006 17:32:48 -0600 (CST)
Received: from mail.math.okstate.edu (mail.math.okstate.edu [139.78.112.5])
by mail.math.okstate.edu (Postfix) with ESMTP id 4ABE53F8D0;
Tue, 31 Oct 2006 17:32:48 -0600 (CST)
X-Original-To: banach at math.okstate.edu
Delivered-To: banach at math.okstate.edu
Received: from mail.math.okstate.edu (localhost [127.0.0.1])
by mail.math.okstate.edu (Postfix) with ESMTP id F2D393F8C6
for <banach at math.okstate.edu>; Tue, 31 Oct 2006 17:32:46 -0600 (CST)
Received: from ms417l.math.okstate.edu (ms417l.math.okstate.edu
[139.78.112.67])
by mail.math.okstate.edu (Postfix) with ESMTP id BD7DF3F8C1
for <banach at math.okstate.edu>; Tue, 31 Oct 2006 17:32:46 -0600 (CST)
Received: from ms417l.math.okstate.edu (localhost.localdomain [127.0.0.1])
by ms417l.math.okstate.edu (8.13.1/8.13.1) with ESMTP id k9VNWkAm013191
for <banach at math.okstate.edu>; Tue, 31 Oct 2006 17:32:46 -0600
Message-Id: <200610312332.k9VNWkAm013191 at ms417l.math.okstate.edu>
X-Mailer: exmh version 2.7.2 01/07/2005 with nmh-1.1-RC3
To: banach at math.okstate.edu
Mime-Version: 1.0
Date: Tue, 31 Oct 2006 17:32:46 -0600
From: Dale Alspach <alspach at math.okstate.edu>
X-Virus-Scanned: ClamAV using ClamSMTP
Subject: [Banach] U of Denver Jobs announcement
X-BeenThere: banach at math.okstate.edu
X-Mailman-Version: 2.1.9
Precedence: list
Reply-To: Alvaro Arias <aarias at math.du.edu>
List-Id: Banach Space Theory News <banach.math.okstate.edu>
List-Unsubscribe: <http://mail.math.okstate.edu/mailman/listinfo/banach>,
<mailto:banach-request at math.okstate.edu?subject=unsubscribe>
List-Archive: <http://mail.math.okstate.edu/pipermail/banach>
List-Post: <mailto:banach at math.okstate.edu>
List-Help: <mailto:banach-request at math.okstate.edu?subject=help>
List-Subscribe: <http://mail.math.okstate.edu/mailman/listinfo/banach>,
<mailto:banach-request at math.okstate.edu?subject=subscribe>
Content-Type: text/plain; charset="us-ascii"
Content-Transfer-Encoding: 7bit
Sender: banach-bounces at math.okstate.edu
Errors-To: banach-bounces at math.okstate.edu
X-Virus-Scanned: ClamAV using ClamSMTP
Status: R
We invite applications for three tenure-track faculty positions in
mathematics at the Assistant Professor level to begin in the fall of
2007. Candidates must have a Ph.D. in mathematics by September 2007 and
show a commitment to excellence in both teaching and research. All
research areas will be considered but we are especially interested in
people whose work overlaps with the research of current faculty. Active
areas of research include ordered algebra, functional analysis,
mathematical physics, quantum computation, C*-algebras, non-associative
algebra, combinatorics, and topological dynamics.
The University of Denver is a medium-size (10,000 students) private
university located in a thriving metropolis at the base of the Rocky
Mountains. Class sizes are small, the teaching load is moderate and the
salary is competitive. The department offers bachelor's, master's and
Ph.D. degrees in mathematics. The University of Denver is committed to
enhancing the diversity of its faculty and staff and encourages
applications from women, persons of color, persons with disabilities and
veterans.
Applications which are complete by January 5, 2007 will be given full
consideration. The search will continue until the positions are filled.
Qualified applicants should submit an AMS cover sheet, a curriculum
vitae, a teaching statement and a research statement. Four letters of
recommendation, three concerning research and one teaching, should be
submitted on behalf of the applicant. In addition, an on-line University
of Denver job application is required; instructions will be provided via
email upon submission of application material.
If you do not wish to submit the material electronically, you may send
it by mail to Mathematics Search Committee, Department of Mathematics,
University of Denver, 2360 S. Gaylord St, Denver, CO 80208.
_______________________________________________
Banach mailing list
Banach at math.okstate.edu
http://mail.math.okstate.edu/mailman/listinfo/banach
From banach-bounces at math.okstate.edu Wed Nov 8 07:38:38 2006
Return-Path: <banach-bounces at math.okstate.edu>
Received: from mail.math.okstate.edu (mail.math.okstate.edu [139.78.112.5])
by www.math.okstate.edu (8.13.3/8.13.3) with ESMTP id kA8Dccaj047800
for <alspach at www.math.okstate.edu>; Wed, 8 Nov 2006 07:38:38 -0600 (CST)
(envelope-from banach-bounces at math.okstate.edu)
Received: from mail.math.okstate.edu (localhost [127.0.0.1])
by mail.math.okstate.edu (Postfix) with ESMTP id AD62C3F8AB;
Wed, 8 Nov 2006 07:38:37 -0600 (CST)
Received: from mail.math.okstate.edu (mail.math.okstate.edu [139.78.112.5])
by mail.math.okstate.edu (Postfix) with ESMTP id 41BF33F856;
Wed, 8 Nov 2006 07:38:37 -0600 (CST)
X-Original-To: banach at math.okstate.edu
Delivered-To: banach at math.okstate.edu
Received: from mail.math.okstate.edu (localhost [127.0.0.1])
by mail.math.okstate.edu (Postfix) with ESMTP id 140863F859
for <banach at math.okstate.edu>; Tue, 7 Nov 2006 15:32:21 -0600 (CST)
Received: from mscan1.math.kent.edu (mscan1.math.kent.edu [131.123.47.3])
by mail.math.okstate.edu (Postfix) with ESMTP id DE60A3F8A8
for <banach at math.okstate.edu>; Tue, 7 Nov 2006 15:32:20 -0600 (CST)
Received: from localhost (localhost.localdomain [127.0.0.1])
by mscan1.math.kent.edu (8.12.10/8.12.10) with ESMTP id kA7LWJB7018151
for <banach at math.okstate.edu>; Tue, 7 Nov 2006 16:32:20 -0500
Received: from mscan1.math.kent.edu ([127.0.0.1])
by localhost (mscan1.math.kent.edu [127.0.0.1]) (amavisd-new,
port 10024) with LMTP id 18090-01 for <banach at math.okstate.edu>;
Tue, 7 Nov 2006 16:31:46 -0500 (EST)
Received: from [131.123.46.154] (mississippi.math.kent.edu [131.123.46.154])
(authenticated bits=0)
by mscan1.math.kent.edu (8.12.10/8.12.10) with ESMTP id kA7LVGfs018004
(version=TLSv1/SSLv3 cipher=DHE-RSA-AES256-SHA bits=256 verify=NO)
for <banach at math.okstate.edu>; Tue, 7 Nov 2006 16:31:16 -0500
Message-ID: <4550FB24.1060405 at math.kent.edu>
Date: Tue, 07 Nov 2006 16:31:16 -0500
From: Artem Zvavitch <zvavitch at math.kent.edu>
User-Agent: Thunderbird 1.5.0.7 (Windows/20060909)
MIME-Version: 1.0
To: banach at math.okstate.edu
X-Virus-Scanned: by amavisd-new at math.kent.edu
X-Virus-Scanned: ClamAV using ClamSMTP
X-Mailman-Approved-At: Wed, 08 Nov 2006 07:38:36 -0600
Subject: [Banach] Informal Analysis Seminar at Kent State University
December 2-3.
X-BeenThere: banach at math.okstate.edu
X-Mailman-Version: 2.1.9
Precedence: list
List-Id: Banach Space Theory News <banach.math.okstate.edu>
List-Unsubscribe: <http://mail.math.okstate.edu/mailman/listinfo/banach>,
<mailto:banach-request at math.okstate.edu?subject=unsubscribe>
List-Archive: <http://mail.math.okstate.edu/pipermail/banach>
List-Post: <mailto:banach at math.okstate.edu>
List-Help: <mailto:banach-request at math.okstate.edu?subject=help>
List-Subscribe: <http://mail.math.okstate.edu/mailman/listinfo/banach>,
<mailto:banach-request at math.okstate.edu?subject=subscribe>
Content-Type: text/plain; charset="iso-8859-1"
Sender: banach-bounces at math.okstate.edu
Errors-To: banach-bounces at math.okstate.edu
X-Virus-Scanned: ClamAV using ClamSMTP
Content-Transfer-Encoding: 8bit
X-MIME-Autoconverted: from quoted-printable to 8bit by www.math.okstate.edu id kA8Dccaj047800
Status: R
Dear Friends,
In December 2-3, 2006, the Department of Mathematical Science at Kent
State University will be famous but still very informal.
INFORMAL ANALYSIS SEMINAR
The plan for now is to start around 1pm Saturday December 2 and finish
on 3pm Sunday December 3pm (some possibility to make a break for
Saturday night is still under discussion). The list of speakers will include
Alex Fish (Ohio State University),
Karl Grosse-Erdmann (Fernuniversität Hagen, Germany),
Don Hadwin (University of New Hampshire),
Feodor Nazarov (Michigan State University),
Vladimir Peller (Michigan State University),
Pietro Poggi-Corradini (Kansas State University),
Dmitry Ryabogin (Kansas State University)
Vasiliy I. Vasyunin (Michigan State University & Russian Mathematical
Institute, St.Petersburg).
It would be great if you could visit Kent State and participate in
seminar! May we ask you to respond as soon as possible, so that we can
gauge the need for housing, lecture room(s), etc. We hope to be sending
out information regarding tiles/abstracts/housing by the end of next week.
Best Regards,
Analysis group at Kent State!
_______________________________________________
Banach mailing list
Banach at math.okstate.edu
http://mail.math.okstate.edu/mailman/listinfo/banach
From alspach at www.math.okstate.edu Wed Nov 8 07:43:11 2006
Return-Path: <alspach at www.math.okstate.edu>
Received: from www.math.okstate.edu (localhost.math.okstate.edu [127.0.0.1])
by www.math.okstate.edu (8.13.3/8.13.3) with ESMTP id kA8DhACu047872;
Wed, 8 Nov 2006 07:43:10 -0600 (CST)
(envelope-from alspach at www.math.okstate.edu)
Received: (from alspach at localhost)
by www.math.okstate.edu (8.13.3/8.13.3/Submit) id kA8DhA1s047871;
Wed, 8 Nov 2006 07:43:10 -0600 (CST)
(envelope-from alspach)
Date: Wed, 8 Nov 2006 07:43:10 -0600 (CST)
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200611081343.kA8DhA1s047871 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Uffe Haagerup and Magdalena Musat
Status: R
This is an announcement for the paper "On the best constants in
noncommutative Khintchine-type inequalities" by Uffe Haagerup and
Magdalena Musat.
Abstract: We obtain new proofs with improved constants of the
Khintchine-type inequality with matrix coefficients in two cases.
The first case is the Pisier and Lust-Piquard noncommutative
Khintchine inequality for $p=1$\,, where we obtain the sharp lower
bound of $\frac1{\sqrt{2}}$ in the complex Gaussian case and for
the sequence of functions $\{e^{i2^nt}\}_{n=1}^\infty$\,. The second
case is Junge's recent Khintchine-type inequality for subspaces of
the operator space $R\oplus C$\,, which he used to construct a
cb-embedding of the operator Hilbert space $OH$ into the predual
of a hyperfinite factor. Also in this case, we obtain a sharp lower
bound of $\frac1{\sqrt{2}}$\,. As a consequence, it follows that
any subspace of a quotient of $(R\oplus C)^*$ is cb-isomorphic to
a subspace of the predual of the hyperfinite factor of type $III_1$\,,
with cb-isomorphism constant $\leq \sqrt{2}$\,. In particular, the
operator Hilbert space $OH$ has this property.
Archive classification: Operator Algebras; Functional Analysis
Mathematics Subject Classification: 46L52; 47L25
Remarks: 35 pages
The source file(s), UffeM2.tex: 125138 bytes, is(are) stored in
gzipped form as 0611160.gz with size 33kb. The corresponding postcript
file has gzipped size 224kb.
Submitted from: mmusat at memphis.edu
The paper may be downloaded from the archive by web browser from
URL
http://front.math.ucdavis.edu/math.OA/0611160
or
http://arXiv.org/abs/math.OA/0611160
or by email in unzipped form by transmitting an empty message with
subject line
uget 0611160
or in gzipped form by using subject line
get 0611160
to: math at arXiv.org.
From alspach at www.math.okstate.edu Wed Nov 22 08:05:54 2006
Return-Path: <alspach at www.math.okstate.edu>
Received: from www.math.okstate.edu (localhost.math.okstate.edu [127.0.0.1])
by www.math.okstate.edu (8.13.3/8.13.3) with ESMTP id kAME5sML049673;
Wed, 22 Nov 2006 08:05:54 -0600 (CST)
(envelope-from alspach at www.math.okstate.edu)
Received: (from alspach at localhost)
by www.math.okstate.edu (8.13.3/8.13.3/Submit) id kAME5sJh049672;
Wed, 22 Nov 2006 08:05:54 -0600 (CST)
(envelope-from alspach)
Date: Wed, 22 Nov 2006 08:05:54 -0600 (CST)
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200611221405.kAME5sJh049672 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Taras Banakh and Wieslaw Kubis
Status: R
This is an announcement for the paper "Spaces of continuous functions
over Dugundji compacta" by Taras Banakh and Wieslaw Kubis.
Abstract: We show that for every Dugundji compact $K$ the Banach
space $C(K)$ is $1$-Plichko and the space $P(K)$ of probability
measures on $K$ is Valdivia compact. Combining this result with the
existence of a non-Valdivia compact group, we answer a question of
Kalenda.
Archive classification: Functional Analysis; General Topology
Mathematics Subject Classification: Primary: 46B26; Secondary:
46E15, 54C35, 54D30
Remarks: 10 pages
The source file(s), Plichko_spaces1ff.tex: 39642 bytes, is(are)
stored in gzipped form as 0610795.gz with size 12kb. The corresponding
postcript file has gzipped size 59kb.
Submitted from: wkubis at pu.kielce.pl
The paper may be downloaded from the archive by web browser from
URL
http://front.math.ucdavis.edu/math.FA/0610795
or
http://arXiv.org/abs/math.FA/0610795
or by email in unzipped form by transmitting an empty message with
subject line
uget 0610795
or in gzipped form by using subject line
get 0610795
to: math at arXiv.org.
From banach-bounces at math.okstate.edu Thu Nov 30 12:37:03 2006
Return-Path: <banach-bounces at math.okstate.edu>
Received: from mail.math.okstate.edu (mail.math.okstate.edu [139.78.112.5])
by www.math.okstate.edu (8.13.3/8.13.3) with ESMTP id kAUIb3Li052833
for <alspach at www.math.okstate.edu>; Thu, 30 Nov 2006 12:37:03 -0600 (CST)
(envelope-from banach-bounces at math.okstate.edu)
Received: from mail.math.okstate.edu (localhost [127.0.0.1])
by mail.math.okstate.edu (Postfix) with ESMTP id 793D73F8E8;
Thu, 30 Nov 2006 12:37:02 -0600 (CST)
Received: from mail.math.okstate.edu (mail.math.okstate.edu [139.78.112.5])
by mail.math.okstate.edu (Postfix) with ESMTP id 0C0193F8C7;
Thu, 30 Nov 2006 12:37:02 -0600 (CST)
X-Original-To: banach at math.okstate.edu
Delivered-To: banach at math.okstate.edu
Received: from mail.math.okstate.edu (localhost [127.0.0.1])
by mail.math.okstate.edu (Postfix) with ESMTP id 4E5443F913
for <banach at math.okstate.edu>; Thu, 30 Nov 2006 12:13:57 -0600 (CST)
Received: from mscan1.math.kent.edu (mscan1.math.kent.edu [131.123.47.3])
by mail.math.okstate.edu (Postfix) with ESMTP id 252173F87D
for <banach at math.okstate.edu>; Thu, 30 Nov 2006 12:13:57 -0600 (CST)
Received: from localhost (localhost.localdomain [127.0.0.1])
by mscan1.math.kent.edu (8.12.10/8.12.10) with ESMTP id kAUIDuKN000535
for <banach at math.okstate.edu>; Thu, 30 Nov 2006 13:13:56 -0500
Received: from mscan1.math.kent.edu ([127.0.0.1])
by localhost (mscan1.math.kent.edu [127.0.0.1]) (amavisd-new,
port 10024) with LMTP id 32461-10 for <banach at math.okstate.edu>;
Thu, 30 Nov 2006 13:13:53 -0500 (EST)
Received: from [131.123.46.154] (mississippi.math.kent.edu [131.123.46.154])
(authenticated bits=0)
by mscan1.math.kent.edu (8.12.10/8.12.10) with ESMTP id kAUIDrEX000509
(version=TLSv1/SSLv3 cipher=DHE-RSA-AES256-SHA bits=256 verify=NO)
for <banach at math.okstate.edu>; Thu, 30 Nov 2006 13:13:53 -0500
Message-ID: <456F1F61.1080306 at math.kent.edu>
Date: Thu, 30 Nov 2006 13:13:53 -0500
From: Artem Zvavitch <zvavitch at math.kent.edu>
User-Agent: Thunderbird 1.5.0.8 (Windows/20061025)
MIME-Version: 1.0
To: banach at math.okstate.edu
X-Virus-Scanned: by amavisd-new at math.kent.edu
X-Virus-Scanned: ClamAV using ClamSMTP
X-Mailman-Approved-At: Thu, 30 Nov 2006 12:37:01 -0600
Subject: [Banach] INFORMAL ANALYSIS SEMINAR (Second announcement)
X-BeenThere: banach at math.okstate.edu
X-Mailman-Version: 2.1.9
Precedence: list
List-Id: Banach Space Theory News <banach.math.okstate.edu>
List-Unsubscribe: <http://mail.math.okstate.edu/mailman/listinfo/banach>,
<mailto:banach-request at math.okstate.edu?subject=unsubscribe>
List-Archive: <http://mail.math.okstate.edu/pipermail/banach>
List-Post: <mailto:banach at math.okstate.edu>
List-Help: <mailto:banach-request at math.okstate.edu?subject=help>
List-Subscribe: <http://mail.math.okstate.edu/mailman/listinfo/banach>,
<mailto:banach-request at math.okstate.edu?subject=subscribe>
Content-Type: text/plain; charset="iso-8859-1"
Sender: banach-bounces at math.okstate.edu
Errors-To: banach-bounces at math.okstate.edu
X-Virus-Scanned: ClamAV using ClamSMTP
Content-Transfer-Encoding: 8bit
X-MIME-Autoconverted: from quoted-printable to 8bit by www.math.okstate.edu id kAUIb3Li052833
Status: R
Dear Friends,
In December 2-3, 2006, the Department of Mathematical Science at Kent
State University will host the famous but still very informal.
INFORMAL ANALYSIS SEMINAR
The plan is to start with a Lunch at 12:00 and lectures at 1pm
Saturday December 2 and finish on 4pm Sunday December 3.
Please, check
http://www.math.kent.edu/math/Informal-Analysis-Seminar-2006.cfm
for more details.
The list of speakers will include
Alex Fish (Ohio State University),
Karl Grosse-Erdmann (Fernuniversität Hagen, Germany),
Don Hadwin (University of New Hampshire),
Feodor Nazarov (Michigan State University),
Vladimir Peller (Michigan State University),
Pietro Poggi-Corradini (Kansas State University),
Dmitry Ryabogin (Kansas State University)
Vasiliy I. Vasyunin (Michigan State University & Russian Mathematical
Institute, St.Petersburg).
Alexander Volberg (Michigan State University).
It would be great if you could visit Kent State and participate in seminar!
Best Regards,
Analysis group at Kent State!
_______________________________________________
Banach mailing list
Banach at math.okstate.edu
http://mail.math.okstate.edu/mailman/listinfo/banach
From alspach at www.math.okstate.edu Thu Nov 30 12:43:35 2006
Return-Path: <alspach at www.math.okstate.edu>
Received: from www.math.okstate.edu (localhost.math.okstate.edu [127.0.0.1])
by www.math.okstate.edu (8.13.3/8.13.3) with ESMTP id kAUIhZ7N052897;
Thu, 30 Nov 2006 12:43:35 -0600 (CST)
(envelope-from alspach at www.math.okstate.edu)
Received: (from alspach at localhost)
by www.math.okstate.edu (8.13.3/8.13.3/Submit) id kAUIhZiY052896;
Thu, 30 Nov 2006 12:43:35 -0600 (CST)
(envelope-from alspach)
Date: Thu, 30 Nov 2006 12:43:35 -0600 (CST)
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200611301843.kAUIhZiY052896 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 and Jan van Neerven
Status: R
This is an announcement for the paper "Uniformly gamma-radonifying
families of operators and the linear stochastic Cauchy problem
in Banach spaces" by Bernhard Haak and Jan van Neerven.
Abstract: We introduce the notion of uniform $\gamma$--radonification
of a family of operators, which unifies the notions of $R$--boundedness
of a family of operators and $\gamma$--radonification of an individual
operator. We study the the properties of uniformly $\gamma$--radonifying
families of operators in detail and apply our results to the
stochastic abstract Cauchy problem $$
dU(t) = AU(t)\,dt + B\,dW(t), \quad U(0)=0. $$ Here, $A$ is
the generator
of a strongly continuous semigroup of operators on a Banach space
$E$, $B$ is a bounded linear operator from a separable Hilbert space
$H$ into $E$, and $W_H$ is an $H$--cylindrical Brownian motion.
Archive classification: Functional Analysis
Mathematics Subject Classification: 47B10; 35R15; 46B09; 46B50;
47D06; 60B11; 60H15
Remarks: submitted for publication
The source file(s), unif-gamma.arxiv.tex: 75863 bytes, is(are)
stored in gzipped form as 0611724.gz with size 23kb. The corresponding
postcript file has gzipped size 152kb.
Submitted from: bernhard.haak at math.uni-karlsruhe.de
The paper may be downloaded from the archive by web browser from
URL
http://front.math.ucdavis.edu/math.FA/0611724
or
http://arXiv.org/abs/math.FA/0611724
or by email in unzipped form by transmitting an empty message with
subject line
uget 0611724
or in gzipped form by using subject line
get 0611724
to: math at arXiv.org.
From alspach at www.math.okstate.edu Thu Nov 30 12:44:16 2006
Return-Path: <alspach at www.math.okstate.edu>
Received: from www.math.okstate.edu (localhost.math.okstate.edu [127.0.0.1])
by www.math.okstate.edu (8.13.3/8.13.3) with ESMTP id kAUIiGb3052941;
Thu, 30 Nov 2006 12:44:16 -0600 (CST)
(envelope-from alspach at www.math.okstate.edu)
Received: (from alspach at localhost)
by www.math.okstate.edu (8.13.3/8.13.3/Submit) id kAUIiGfK052940;
Thu, 30 Nov 2006 12:44:16 -0600 (CST)
(envelope-from alspach)
Date: Thu, 30 Nov 2006 12:44:16 -0600 (CST)
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200611301844.kAUIiGfK052940 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Morten Nielsen
Status: R
This is an announcement for the paper "An example of an almost
greedy uniformly bounded orthonormal basis for $L_p([0,1])$" by
Morten Nielsen.
Abstract: We construct a uniformly bounded orthonormal almost greedy
basis for $L_p([0,1])$, $1<p<\infty$. The example shows that it is
not possible to extend Orlicz's theorem, stating that there are no
uniformly bounded orthonormal unconditional bases for $L_p([0,1])$,
$p\not=2$, to the class of almost greedy bases.
Archive classification: Functional Analysis
Mathematics Subject Classification: 42C20
Remarks: 8 pages
The source file(s), QG.tex: 23612 bytes, is(are) stored in gzipped
form as 0611890.gz with size 8kb. The corresponding postcript file
has gzipped size 96kb.
Submitted from: mnielsen at math.wustl.edu
The paper may be downloaded from the archive by web browser from
URL
http://front.math.ucdavis.edu/math.FA/0611890
or
http://arXiv.org/abs/math.FA/0611890
or by email in unzipped form by transmitting an empty message with
subject line
uget 0611890
or in gzipped form by using subject line
get 0611890
to: math at arXiv.org.
From alspach at www.math.okstate.edu Thu Nov 30 12:44:55 2006
Return-Path: <alspach at www.math.okstate.edu>
Received: from www.math.okstate.edu (localhost.math.okstate.edu [127.0.0.1])
by www.math.okstate.edu (8.13.3/8.13.3) with ESMTP id kAUIitmN052972;
Thu, 30 Nov 2006 12:44:55 -0600 (CST)
(envelope-from alspach at www.math.okstate.edu)
Received: (from alspach at localhost)
by www.math.okstate.edu (8.13.3/8.13.3/Submit) id kAUIitoE052971;
Thu, 30 Nov 2006 12:44:55 -0600 (CST)
(envelope-from alspach)
Date: Thu, 30 Nov 2006 12:44:55 -0600 (CST)
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200611301844.kAUIitoE052971 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Morten Nielsen
Status: R
This is an announcement for the paper "Trigonometric quasi-greedy
bases for $L^p(\bT;w)$" by Morten Nielsen.
Abstract: We give a complete characterization of $2\pi$-periodic
weights $w$ for which the usual trigonometric system forms a
quasi-greedy basis for $L^p(\bT;w)$, i.e., bases for which simple
thresholding approximants converge in norm. The characterization
implies that this can happen only for $p=2$ and whenever the system
forms a quasi-greedy basis, the basis must actually be a Riesz
basis.
Archive classification: Functional Analysis
Mathematics Subject Classification: 42C15
Remarks: 8 pages
The source file(s), trig_quasi_greedy.tex: 23971 bytes, is(are)
stored in gzipped form as 0611892.gz with size 8kb. The corresponding
postcript file has gzipped size 98kb.
Submitted from: mnielsen at math.wustl.edu
The paper may be downloaded from the archive by web browser from
URL
http://front.math.ucdavis.edu/math.FA/0611892
or
http://arXiv.org/abs/math.FA/0611892
or by email in unzipped form by transmitting an empty message with
subject line
uget 0611892
or in gzipped form by using subject line
get 0611892
to: math at arXiv.org.
From alspach at www.math.okstate.edu Sat Dec 2 11:03:18 2006
Return-Path: <alspach at www.math.okstate.edu>
Received: from www.math.okstate.edu (localhost.math.okstate.edu [127.0.0.1])
by www.math.okstate.edu (8.13.3/8.13.3) with ESMTP id kB2H3IQZ077123;
Sat, 2 Dec 2006 11:03:18 -0600 (CST)
(envelope-from alspach at www.math.okstate.edu)
Received: (from alspach at localhost)
by www.math.okstate.edu (8.13.3/8.13.3/Submit) id kB2H3Il8077122;
Sat, 2 Dec 2006 11:03:18 -0600 (CST)
(envelope-from alspach)
Date: Sat, 2 Dec 2006 11:03:18 -0600 (CST)
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200612021703.kB2H3Il8077122 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Jeff Cheeger and Bruce Kleiner
Status: R
This is an announcement for the paper "Differentiating maps into
L^1 and the geometry of BV functions" by Jeff Cheeger and Bruce
Kleiner.
Abstract: This is one of a series of papers examining the interplay
between differentiation theory for Lipschitz maps, X--->V, and
bi-Lipschitz nonembeddability, where X is a metric measure space
and V is a Banach space. Here, we consider the case V=L^1 where
differentiability fails.
We establish another kind of differentiability for certain X,
including R^n and H, the Heisenberg group with its Carnot-Cartheodory
metric. It follows that H does not bi-Lipschitz embed into L^1, as
conjectured by J. Lee and A. Naor. When combined with their work,
this provides a natural counter example to the Goemans-Linial
conjecture in theoretical computer science; the first such
counterexample was found by Khot-Vishnoi. A key ingredient in the
proof of our main theorem is a new connection between Lipschitz
maps to L^1 and functions of bounded variation, which permits us
to exploit recent work on the structure of BV functions on the
Heisenberg group.
Archive classification: Metric Geometry; Differential Geometry;
Functional Analysis; Group
The paper may be downloaded from the archive by web browser from
URL
http://front.math.ucdavis.edu/math.MG/0611954
or
http://arXiv.org/abs/math.MG/0611954
or by email in unzipped form by transmitting an empty message with
subject line
uget 0611954
or in gzipped form by using subject line
get 0611954
to: math at arXiv.org.
From alspach at www.math.okstate.edu Wed Dec 6 06:21:48 2006
Return-Path: <alspach at www.math.okstate.edu>
Received: from www.math.okstate.edu (localhost.math.okstate.edu [127.0.0.1])
by www.math.okstate.edu (8.13.3/8.13.3) with ESMTP id kB6CLmWT094984;
Wed, 6 Dec 2006 06:21:48 -0600 (CST)
(envelope-from alspach at www.math.okstate.edu)
Received: (from alspach at localhost)
by www.math.okstate.edu (8.13.3/8.13.3/Submit) id kB6CLmQi094983;
Wed, 6 Dec 2006 06:21:48 -0600 (CST)
(envelope-from alspach)
Date: Wed, 6 Dec 2006 06:21:48 -0600 (CST)
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200612061221.kB6CLmQi094983 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Joel A. Tropp
Status: R
This is an announcement for the paper "A new proof of the paving
property for uniformly bounded matrices" by Joel A. Tropp.
Abstract: This note presents a new proof of an important result due
to Bourgain and Tzafriri that provides a partial solution to the
Kadison--Singer problem. The result shows that every unit-norm
matrix whose entries are relatively small in comparison with its
dimension can be paved by a partition of constant size. That is,
the coordinates can be partitioned into a constant number of blocks
so that the restriction of the matrix to each block of coordinates
has norm less than one half. The original proof of Bourgain and
Tzafriri involves a long, delicate calculation. The new proof relies
on the systematic use of symmetrization and Khintchine inequalities
to estimate the norm of some random matrices. The key new ideas are
due to Rudelson.
Archive classification: Metric Geometry; Functional Analysis;
Probability
Mathematics Subject Classification: 46B07; 47A11; 15A52
Remarks: 12 pages
The source file(s), bdd-ks-v1.bbl: 2693 bytes, bdd-ks-v1.tex: 41646
bytes, macro-file.tex: 8551 bytes, is(are) stored in gzipped form
as 0612070.tar.gz with size 15kb. The corresponding postcript file
has gzipped size 99kb.
Submitted from: jtropp at umich.edu
The paper may be downloaded from the archive by web browser from
URL
http://front.math.ucdavis.edu/math.MG/0612070
or
http://arXiv.org/abs/math.MG/0612070
or by email in unzipped form by transmitting an empty message with
subject line
uget 0612070
or in gzipped form by using subject line
get 0612070
to: math at arXiv.org.
From alspach at www.math.okstate.edu Wed Dec 13 12:22:40 2006
Return-Path: <alspach at www.math.okstate.edu>
Received: from www.math.okstate.edu (localhost.math.okstate.edu [127.0.0.1])
by www.math.okstate.edu (8.13.3/8.13.3) with ESMTP id kBDIMem1051527;
Wed, 13 Dec 2006 12:22:40 -0600 (CST)
(envelope-from alspach at www.math.okstate.edu)
Received: (from alspach at localhost)
by www.math.okstate.edu (8.13.3/8.13.3/Submit) id kBDIMexv051526;
Wed, 13 Dec 2006 12:22:40 -0600 (CST)
(envelope-from alspach)
Date: Wed, 13 Dec 2006 12:22:40 -0600 (CST)
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200612131822.kBDIMexv051526 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 Haydon, A Molto and J Orihuela
Status: R
This is an announcement for the paper "Spaces of functions with
countably many discontinuities" by R Haydon, A Molto and J Orihuela.
Abstract: Let $\Gamma$ be a Polish space and let $K$ be a separable
and poointwise compact set of real-valued functions on $\Gamma$.
It is shown that if each function in $K$ has only countably many
discontinuities then $C(K)$ may be equipped with a $T_p$-lower
semicontinuous and locally uniformly convex norm, equivalent to the
supremum norm.
Archive classification: Functional Analysis; General Topology
Mathematics Subject Classification: 46B03; 54H05
The source file(s), fewdiscfinal.tex: 56379 bytes, is(are) stored
in gzipped form as 0612307.gz with size 18kb. The corresponding
postcript file has gzipped size 144kb.
Submitted from: richard.haydon at bnc.ox.ac.uk
The paper may be downloaded from the archive by web browser from
URL
http://front.math.ucdavis.edu/math.FA/0612307
or
http://arXiv.org/abs/math.FA/0612307
or by email in unzipped form by transmitting an empty message with
subject line
uget 0612307
or in gzipped form by using subject line
get 0612307
to: math at arXiv.org.
From alspach at www.math.okstate.edu Sat Dec 23 09:22:42 2006
Return-Path: <alspach at www.math.okstate.edu>
Received: from www.math.okstate.edu (localhost.math.okstate.edu [127.0.0.1])
by www.math.okstate.edu (8.13.3/8.13.3) with ESMTP id kBNFMgAa026299;
Sat, 23 Dec 2006 09:22:42 -0600 (CST)
(envelope-from alspach at www.math.okstate.edu)
Received: (from alspach at localhost)
by www.math.okstate.edu (8.13.3/8.13.3/Submit) id kBNFMgOa026298;
Sat, 23 Dec 2006 09:22:42 -0600 (CST)
(envelope-from alspach)
Date: Sat, 23 Dec 2006 09:22:42 -0600 (CST)
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200612231522.kBNFMgOa026298 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Thomas Jech
Status: R
This is an announcement for the paper "Algebraic characterizations
of measure algebras" by Thomas Jech.
Abstract: We present necessary and sufficient conditions for the
existence of a countably additive measure on a complete Boolean
algebra.
Archive classification: Functional Analysis; Logic
Mathematics Subject Classification: 28
The source file(s), Measure.tex: 31579 bytes, is(are) stored in
gzipped form as 0612598.gz with size 9kb. The corresponding postcript
file has gzipped size 89kb.
Submitted from: jech at math.cas.cz
The paper may be downloaded from the archive by web browser from
URL
http://front.math.ucdavis.edu/math.FA/0612598
or
http://arXiv.org/abs/math.FA/0612598
or by email in unzipped form by transmitting an empty message with
subject line
uget 0612598
or in gzipped form by using subject line
get 0612598
to: math at arXiv.org.
Return to the subject file.
Return to the Banach home page.