From alspach at www.math.okstate.edu Fri Jan 7 09:15:01 2005 Return-Path: <alspach at www.math.okstate.edu> Received: from www.math.okstate.edu (www.math.okstate.edu [127.0.0.1]) by www.math.okstate.edu (8.12.11/8.12.11) with ESMTP id j07FF18V021687; Fri, 7 Jan 2005 09:15:01 -0600 Received: (from alspach at localhost) by www.math.okstate.edu (8.12.11/8.12.11/Submit) id j07FF0B1021657; Fri, 7 Jan 2005 09:15:00 -0600 Date: Fri, 7 Jan 2005 09:15:00 -0600 From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200501071515.j07FF0B1021657 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu Subject: Abstract of a paper by Dmitry B. Rokhlin Status: R

This is an announcement for the paper "The Kreps-Yan theorem for $L^\infty$" by Dmitry B. Rokhlin. Abstract: We prove the following version of the Kreps-Yan theorem. For any norm closed convex cone $C\subset L^\infty$ such that $C\cap L_+^\infty=\{0\}$ and $C\supset -L_+^\infty$, there exists a strictly positive continuous linear functional, whose restriction on $C$ is non-positive. The proof uses some tools from convex analysis in contrast to the case of a weakly Lindel\"of Banach space, where such approach is not needed. Archive classification: Functional Analysis Mathematics Subject Classification: 46E30; 46B40 Remarks: 8 pages The source file(s), rok_KY.TEX: 18051 bytes, is(are) stored in gzipped form as 0412551.gz with size 7kb. The corresponding postcript file has gzipped size 45kb. Submitted from: rokhlin at math.rsu.ru The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0412551 or http://arXiv.org/abs/math.FA/0412551 or by email in unzipped form by transmitting an empty message with subject line uget 0412551 or in gzipped form by using subject line get 0412551 to: math at arXiv.org.

From alspach at www.math.okstate.edu Fri Jan 7 09:16:53 2005 Return-Path: <alspach at www.math.okstate.edu> Received: from www.math.okstate.edu (www.math.okstate.edu [127.0.0.1]) by www.math.okstate.edu (8.12.11/8.12.11) with ESMTP id j07FGrEe021747; Fri, 7 Jan 2005 09:16:53 -0600 Received: (from alspach at localhost) by www.math.okstate.edu (8.12.11/8.12.11/Submit) id j07FGrix021745; Fri, 7 Jan 2005 09:16:53 -0600 Date: Fri, 7 Jan 2005 09:16:53 -0600 From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200501071516.j07FGrix021745 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu Subject: Abstract of a paper by Biagio Ricceri Status: R

This is an announcement for the paper "Covering dimension and nonlinear equations" by Biagio Ricceri. Abstract: Theorem: Let X and Y be two Banach spaces, Phi: X to Y a continuous, linear, surjective operator, and Psi: X to Y a completely continuous operator with bounded range. Then, one has dim{x in X : Phi(x)=Psi(x)} >= dim(Phi^{-1}(0)). Here dim denotes the covering dimension. Archive classification: Functional Analysis Mathematics Subject Classification: 47J05, 47H10 Citation: RIMS Kokyuroku 1031, 97-100 (1998) Remarks: 3 pages The source file(s), paam-15.tex: 7189 bytes, is(are) stored in gzipped form as 0412563.gz with size 3kb. The corresponding postcript file has gzipped size 26kb. Submitted from: elliott at mail.mathatlas.yorku.ca The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0412563 or http://arXiv.org/abs/math.FA/0412563 or by email in unzipped form by transmitting an empty message with subject line uget 0412563 or in gzipped form by using subject line get 0412563 to: math at arXiv.org.

From alspach at www.math.okstate.edu Fri Jan 7 09:17:40 2005 Return-Path: <alspach at www.math.okstate.edu> Received: from www.math.okstate.edu (www.math.okstate.edu [127.0.0.1]) by www.math.okstate.edu (8.12.11/8.12.11) with ESMTP id j07FHep2021808; Fri, 7 Jan 2005 09:17:40 -0600 Received: (from alspach at localhost) by www.math.okstate.edu (8.12.11/8.12.11/Submit) id j07FHec2021806; Fri, 7 Jan 2005 09:17:40 -0600 Date: Fri, 7 Jan 2005 09:17:40 -0600 From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200501071517.j07FHec2021806 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu Subject: Abstract of a paper by Biagio Ricceri Status: R

This is an announcement for the paper "Some research perspectives in nonlinear functional analysis" by Biagio Ricceri. Abstract: The object of this lecture is to propose a series of conjectures and problems in different fields of analysis. They have been formulated with the aim of introducing some innovative methods in the study of classical topics, as open mappings, fixed points, critical points, global minima, control theory. Archive classification: Functional Analysis Mathematics Subject Classification: 46N10, 47H10 Citation: Semin. Fixed Point Theory Cluj-Napoca 3, 99-110 (2002) Remarks: 13 pages The source file(s), idec-62.tex: 26131 bytes, is(are) stored in gzipped form as 0412564.gz with size 8kb. The corresponding postcript file has gzipped size 42kb. Submitted from: elliott at mail.mathatlas.yorku.ca The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0412564 or http://arXiv.org/abs/math.FA/0412564 or by email in unzipped form by transmitting an empty message with subject line uget 0412564 or in gzipped form by using subject line get 0412564 to: math at arXiv.org.

From alspach at www.math.okstate.edu Fri Jan 7 09:21:17 2005 Return-Path: <alspach at www.math.okstate.edu> Received: from www.math.okstate.edu (www.math.okstate.edu [127.0.0.1]) by www.math.okstate.edu (8.12.11/8.12.11) with ESMTP id j07FLHun021901; Fri, 7 Jan 2005 09:21:17 -0600 Received: (from alspach at localhost) by www.math.okstate.edu (8.12.11/8.12.11/Submit) id j07FLGTI021899; Fri, 7 Jan 2005 09:21:16 -0600 Date: Fri, 7 Jan 2005 09:21:16 -0600 From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200501071521.j07FLGTI021899 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu Subject: Abstract of a paper by Magdalena Musat Status: R

This is an announcement for the paper "On the operator space UMD property for noncommutative Lp-spaces" by Magdalena Musat. Abstract: We study the operator space UMD property, introduced by Pisier in the context of noncommutative vector-valued Lp-spaces. It is unknown whether the property is independent of p in this setting. We prove that for 1<p,q<\infty, the Schatten q-classes Sq are OUMDp. The proof relies on properties of the Haagerup tensor product and complex interpolation. Using ultraproduct techniques, we extend this result to a large class of noncommutative Lq-spaces. Namely, we show that if M is a QWEP von Neumann algebra (i.e., a quotient of a C^*-algebra with Lance's weak expectation property) equipped with a normal, faithful tracial state \tau, then Lq(M,\tau) is OUMDp for 1<p,q<\infty. Archive classification: Operator Algebras; Functional Analysis; Probability Mathematics Subject Classification: 46L52, 47L25 (Primary) 60G46 (Secondary) Remarks: 30 pages The source file(s), OUMDLP.TEX: 120786 bytes, is(are) stored in gzipped form as 0501033.gz with size 33kb. The corresponding postcript file has gzipped size 135kb. Submitted from: mmusat at math.ucsd.edu The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.OA/0501033 or http://arXiv.org/abs/math.OA/0501033 or by email in unzipped form by transmitting an empty message with subject line uget 0501033 or in gzipped form by using subject line get 0501033 to: math at arXiv.org.

From alspach at www.math.okstate.edu Mon Jan 10 08:20:23 2005 Return-Path: <alspach at www.math.okstate.edu> Received: from www.math.okstate.edu (www.math.okstate.edu [127.0.0.1]) by www.math.okstate.edu (8.12.11/8.12.11) with ESMTP id j0AEKNP8027877; Mon, 10 Jan 2005 08:20:23 -0600 Received: (from alspach at localhost) by www.math.okstate.edu (8.12.11/8.12.11/Submit) id j0AEKNUG027875; Mon, 10 Jan 2005 08:20:23 -0600 Date: Mon, 10 Jan 2005 08:20:23 -0600 From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200501101420.j0AEKNUG027875 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu Subject: Abstract of a paper by W. T. Gowers Status: R

This is an announcement for the paper "An infinite Ramsey theorem and some Banach-space dichotomies" by W. T. Gowers. Abstract: A problem of Banach asks whether every infinite-dimensional Banach space which is isomorphic to all its infinite-dimensional subspaces must be isomorphic to a separable Hilbert space. In this paper we prove a result of a Ramsey-theoretic nature which implies an interesting dichotomy for subspaces of Banach spaces. Combined with a result of Komorowski and Tomczak-Jaegermann, this gives a positive answer to Banach's problem. We then generalize the Ramsey-theoretic result and deduce a further dichotomy for Banach spaces with an unconditional basis. Archive classification: Functional Analysis Mathematics Subject Classification: 46B20 (Primary) 03E02, 03E15, 05D10, 46B03 (Secondary) Citation: Ann. of Math. (2), Vol. 156 (2002), no. 3, 797--833 Remarks: 37 pages, published version The source file(s), ArxivGowers.tex: 109202 bytes, amltd2004.sty: 33983 bytes, is(are) stored in gzipped form as 0501105.tar.gz with size 42kb. The corresponding postcript file has gzipped size 112kb. Submitted from: wtg10 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/0501105 or http://arXiv.org/abs/math.FA/0501105 or by email in unzipped form by transmitting an empty message with subject line uget 0501105 or in gzipped form by using subject line get 0501105 to: math at arXiv.org.

From alspach at www.math.okstate.edu Thu Jan 13 12:16:04 2005 Return-Path: <alspach at www.math.okstate.edu> Received: from www.math.okstate.edu (www.math.okstate.edu [127.0.0.1]) by www.math.okstate.edu (8.12.11/8.12.11) with ESMTP id j0DIG4Zi021239; Thu, 13 Jan 2005 12:16:04 -0600 Received: (from alspach at localhost) by www.math.okstate.edu (8.12.11/8.12.11/Submit) id j0DIG4fs021237; Thu, 13 Jan 2005 12:16:04 -0600 Date: Thu, 13 Jan 2005 12:16:04 -0600 From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200501131816.j0DIG4fs021237 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.G. Smirnov and M.A. Soloviev Status: R

This is an announcement for the paper "On kernel theorems for Frechet and DF spaces" by A.G. Smirnov and M.A. Soloviev. Abstract: A convenient technique for calculating completed topological tensor products of functional Frechet or DF spaces is developed. The general construction is applied to proving kernel theorems for a wide class of spaces of smooth and entire analytic functions. Archive classification: Functional Analysis Mathematics Subject Classification: 46A32; 46E10; 46A04 Remarks: 10 pages The source file(s), kernel1.tex: 40782 bytes, is(are) stored in gzipped form as 0501187.gz with size 12kb. The corresponding postcript file has gzipped size 64kb. Submitted from: smirnov at lpi.ru The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0501187 or http://arXiv.org/abs/math.FA/0501187 or by email in unzipped form by transmitting an empty message with subject line uget 0501187 or in gzipped form by using subject line get 0501187 to: math at arXiv.org.

From banach-bounces at math.okstate.edu Sun Jan 16 22:11:43 2005 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 (8.12.11/8.12.11) with ESMTP id j0H4BhQI002356 for <alspach at www.math.okstate.edu>; Sun, 16 Jan 2005 22:11:43 -0600 Received: from mail.math.okstate.edu (localhost.math.okstate.edu [127.0.0.1]) by mail.math.okstate.edu (Postfix) with ESMTP id 10BE64BA27; Sun, 16 Jan 2005 22:11:33 -0600 (CST) Received: from mail.math.okstate.edu (localhost.math.okstate.edu [127.0.0.1]) by mail.math.okstate.edu (Postfix) with ESMTP id 841A44BA20; Sun, 16 Jan 2005 22:11:32 -0600 (CST) X-Original-To: banach at math.okstate.edu Delivered-To: banach at math.okstate.edu Received: from mail.math.okstate.edu (localhost.math.okstate.edu [127.0.0.1]) by mail.math.okstate.edu (Postfix) with ESMTP id 29DE04B850 for <banach at math.okstate.edu>; Sun, 16 Jan 2005 22:11:31 -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 E37234B83B for <banach at math.okstate.edu>; Sun, 16 Jan 2005 22:11:30 -0600 (CST) Received: from ms417l.math.okstate.edu (localhost.localdomain [127.0.0.1]) by ms417l.math.okstate.edu (8.12.11/8.12.10) with ESMTP id j0H4BUAd029183 for <banach at math.okstate.edu>; Sun, 16 Jan 2005 22:11:30 -0600 Received: from ms417l.math.okstate.edu (alspach at localhost) by ms417l.math.okstate.edu (8.12.11/8.12.11/Submit) with ESMTP id j0H4BUOr029179 for <banach at math.okstate.edu>; Sun, 16 Jan 2005 22:11:30 -0600 Message-Id: <200501170411.j0H4BUOr029179 at ms417l.math.okstate.edu> To: banach at math.okstate.edu MIME-Version: 1.0 Content-Type: text/plain; charset="x-unknown" Content-ID: <29177.1105935090.1 at ms417l.math.okstate.edu> Date: Sun, 16 Jan 2005 22:11:30 -0600 From: Dale Alspach <alspach at math.okstate.edu> X-Virus-Scanned: ClamAV using ClamSMTP Subject: [Banach] Conference at Kent State X-BeenThere: banach at math.okstate.edu X-Mailman-Version: 2.1.5 Precedence: list List-Id: Banach Space Theory News <banach.math.okstate.edu> List-Unsubscribe: <http://mail.math.okstate.edu:8080/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:8080/mailman/listinfo/banach>, <mailto:banach-request at math.okstate.edu?subject=subscribe> 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 j0H4BhQI002356 Status: R

A conference on Infinite Dimensional Analysis (IDAKent2005) will be held February 9-13, 2005, in honor of Richard Aron and Sean Dineen. The Conference web page is http://www.math.kent.edu/idaconf2005.html. We invite everyone, even those who cannot attend the conference, to send, as image files (preferably as JPG files), photographs of yourself with Richard and/or Sean, indicating the place and the year when they were taken. These photos will be displayed on the Conference web page. In order to arrange the schedule of the Conference we need to know who plans to give talks. The deadline for sending us the title and abstract of your talk is Friday, January 28 (and remember that everyone, absolutely everyone, is welcome whether or not he/she plans on giving a talk!) On the web page (LODGING), you can find information about many hotels from which to choose. To reserve hotel rooms at the IDA conference rate, please make your reservations through Misty Tackett. To do this, please (1) DOWNLOAD THE FORM FOR ROOM RESERVATIONS AS A TXT FILE, (2) FILL IN THIS FORM, and (3) E-MAIL THE FORM BACK TO Ms. Tackett at mtackett at math.kent.edu As an alternative, you can DOWNLOAD THE FORM FOR ROOM RESERVATIONS AS A PDF FILE, FILL IN THIS FORM, AND FAX IT BACK TO Ms. Tackett (++ 1 330 672 2209). Note that Adobe Reader 6 does not allow you to save what you write on the pdf, but you can print the modified pdf file. Reservations not made through Ms. Tackett will not be available at a reduced rate. The deadline for room reservations is Friday January 21st, 2005. Please let us know your arrival and departure times if you plan to fly to this area. We will arrange for a shuttle to take you to and from the airport when you are arriving or departing from the airports (Akron-Canton=CAK, Cleveland-Hopkins=CLE). To do this, we will need your detailed travel information. This will help us ensure that you are not missed at the airport if your flight happens to be delayed when arriving. By giving us your accurate departure information, we can help you be on time when going home as well! Please send the following information to garcia at math.kent.edu as soon as possible. On the web page you can also find in ARRIVALS AND DEPARTURES the following information that you can copy and paste into your email. Your Name: Arrival Information Airport (Cleveland or Akron): Flight Number: Arrival Date and Time: Departure Information Airport (Cleveland or Akron): Flight Number: Arrival Date and Time: By now a lot of people have confirmed that they will attend. Among them: María Acosta, University of Granada, Spain Raymundo Alencar, Instituto Tecnologico da Aeronautica, Sao Jose dos Campos, Brazil Richard Aron, Kent State University, USA Rajappa K. Asthagiri, Miami University, Middletown, USA Juan Bés, Bowling Green State University, USA Klaus Bierstedt, University of Paderborn, Germany Geraldo Botelho, Federal University of Uberlândia, Brazil Christopher Boyd, University College Dublin, Ireland Bernardo Cascales, University of Murcia, Spain Jesús Castillo, University of Extremadura, Badajoz, Spain Yun Sung Choi, POSTECH, Pohang, Korea Joe Cima, The University of North Carolina at Chapel Hill, USA Antonio Roberto da Silva, Federal University of Rio de Janeiro, Brazil Andreas Defant, University of Oldenburg, Germany Joe Diestel, Kent State University, USA Verónica Dimant, University of San Andrés, Victoria, Argentina Seán Dineen, University College Dublin, Ireland Patrick Dowling, Miami University, Oxford, USA Maite Fernández-Unzueta, CIMAT, Guadalajara, Mexico Jesús Ferrer, University of Valencia, Spain Catherine Finet, University of Mons, Belgium Pablo Galindo, University of Valencia, Spain Domingo García, University of Valencia, Spain Bogdan Grecu, Tallaght Institute of Technology, Ireland André Hallack, Federal University of Juiz de Fora, Brazil Lawrence A. Harris, University of Kentucky, USA Tatsuhiro Honda, Ariake National College of Technology, Fukuoka, Japan Remo Hügli, University College Dublin, Ireland Hans Jarchow, University of Zurich, Switzerland Jesús Jaramillo, University Complutense of Madrid, Spain Ana Kaminska, The University of Memphis, USA Padraig Kirwan, Waterford Institue of Technology, Ireland Maciej Klimek, Uppsala University, Sweden Istvan Kovacs, Case Western Reserve University, Cleveland, USA László Lempert, Purdue University, USA Chris Lennard, University of Pittsburgh, USA Fernando León, University of Cadiz, Spain Mikael Lindström, Åbo Akademi University, Finland José L. G. Llavona, University Complutense of Madrid, Spain Lilian Lourenço, University of São Paulo, Brazil Michael Mackey, University College Dublin, Ireland Manuel Maestre, University of Valencia, Spain Miguel Martín, University of Granada, Spain Félix Martínez Giménez, Technical University of Valencia, Spain Mieczyslaw Mastylo, Adam Mickiewicz University, Poznan, Poland Vicente Montesinos Santalucia, Technical University of Valencia, Spain Luiza Moraes, Federal University of Rio de Janeiro, Brazil Lawrence Narici, Saint Johns University, New York, USA José Orihuela, University of Murcia, Spain Imre Patyi, Georgia State University, USA Aleksander Pelczynski, Institute of Mathematics, Polish Academy of Sciences, Poland Daniel Pellegrino, Federal University of Campina Grande, Brazil David Pérez, University Rey Juan Carlos of Madrid, Spain Alfredo Peris Manguillot, Technical University of Valencia, Spain Wieslaw Plesniak, Jagiellonian University, Krakow, Poland Lucas Quarta, University of Mons, Belgium María José Rivera, Technical University of Valencia, Spain Pilar Rueda, University of Valencia, Spain Raymond Ryan, University of Galway, Ireland Jean Schmets, University of Liège, Belgium Pablo Sevilla, University of Valencia, Spain Emily Sprague, University of Wisconsin, USA Kondagunta Sundaresan, Cleveland State University, USA Ciaran Taylor, Tallaght Institute of Technology, Ireland Richard Timoney, Trinity College Dublin, Ireland Andrew Tonge, Kent State University, USA Milena Venkova, University College Dublin, Ireland Daniela Vieira, State University of Campinas, Brazil Ignacio Villanueva, University Complutense of Madrid, Spain Dietmar Vogt, University of Wuppertal, Germany Andriy Zagorodnyuk, Inst. for Applied Problems of Mechanics and Mathematics, Ukraine Ignacio Zalduendo, Universidad Torcuato di Tella, Buenos Aires, Argentina We hope that you too will be a participant in Kent during February 9 - 13, 2005! The organizing committee, Yun Sung Choi, Domingo García, Manolo Maestre, Andrew Tonge, Nacho Zalduendo. _______________________________________________ Banach mailing list Banach at math.okstate.edu http://mail.math.okstate.edu:8080/mailman/listinfo/banach

From banach-bounces at math.okstate.edu Tue Jan 25 12:52:57 2005 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 (8.12.11/8.12.11) with ESMTP id j0PIqukp002754 for <alspach at www.math.okstate.edu>; Tue, 25 Jan 2005 12:52:57 -0600 Received: from mail.math.okstate.edu (localhost.math.okstate.edu [127.0.0.1]) by mail.math.okstate.edu (Postfix) with ESMTP id 9FEB94B9FA; Tue, 25 Jan 2005 12:52:55 -0600 (CST) Received: from mail.math.okstate.edu (localhost.math.okstate.edu [127.0.0.1]) by mail.math.okstate.edu (Postfix) with ESMTP id 1F4214B8F8; Tue, 25 Jan 2005 12:52:55 -0600 (CST) X-Original-To: banach at math.okstate.edu Delivered-To: banach at math.okstate.edu Received: from mail.math.okstate.edu (localhost.math.okstate.edu [127.0.0.1]) by mail.math.okstate.edu (Postfix) with ESMTP id 405914B83B for <banach at math.okstate.edu>; Tue, 25 Jan 2005 12:52:52 -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 0A5704B8F2 for <banach at math.okstate.edu>; Tue, 25 Jan 2005 12:52:52 -0600 (CST) Received: from ms417l.math.okstate.edu (localhost.localdomain [127.0.0.1]) by ms417l.math.okstate.edu (8.12.11/8.12.10) with ESMTP id j0PIqp2i007433 for <banach at math.okstate.edu>; Tue, 25 Jan 2005 12:52:51 -0600 Received: from ms417l.math.okstate.edu (alspach at localhost) by ms417l.math.okstate.edu (8.12.11/8.12.11/Submit) with ESMTP id j0PIqphg007429 for <banach at math.okstate.edu>; Tue, 25 Jan 2005 12:52:51 -0600 Message-Id: <200501251852.j0PIqphg007429 at ms417l.math.okstate.edu> X-Mailer: exmh version 2.5 01/15/2001 with nmh-1.0.4 To: banach at math.okstate.edu Mime-Version: 1.0 Content-Type: text/plain; charset=iso-8859-1 Content-Transfer-Encoding: 8bit Date: Tue, 25 Jan 2005 12:52:51 -0600 From: Dale Alspach <alspach at math.okstate.edu> X-Virus-Scanned: ClamAV using ClamSMTP Subject: [Banach] Conference on Banach spaces and their Applications in Analysis X-BeenThere: banach at math.okstate.edu X-Mailman-Version: 2.1.5 Precedence: list Reply-To: Beata Randrianantoanina <randrib at MuOhio.edu> List-Id: Banach Space Theory News <banach.math.okstate.edu> List-Unsubscribe: <http://mail.math.okstate.edu:8080/mailman/listinfo/banach>, <mailto:banach-request at math.okstate.edu?subject=unsubscribe> List-Archive: <http://mail.math.okstate.edu:8080/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:8080/mailman/listinfo/banach>, <mailto:banach-request at math.okstate.edu?subject=subscribe> Sender: banach-bounces at math.okstate.edu Errors-To: banach-bounces at math.okstate.edu X-Virus-Scanned: ClamAV using ClamSMTP Status: R

Conference Announcement: ``Banach spaces and their applications in Analysis'', in honor of Nigel Kalton's 60th birthday, to be held May 22-27, 2006 at Miami University in Oxford, Ohio (which is about 30 miles from Cincinnati, Ohio). We plan to emphasize the following themes: -- Nonlinear theory (Lipschitz classifications of Banach and metric spaces and related topics), -- Isomorphic theory of Banach spaces including connections with combinatorics and set theory, -- Algebraic and homological methods in Banach spaces, -- Approximation theory and algorithms in Banach spaces (greedy algorithms, interpolation etc.), -- Functional calculus and applications to Partial Differential Equations. The following people have agreed to be principal speakers at the conference: Yuri Brudnyi (Technion - Israel Institute of Technology, Israel) JesÃºs M. F. Castillo (University of Extremadura, Spain) Marianna CsÃ¶rnyei (University College, London, UK) Stephen Dilworth (University of South Carolina) Gilles Godefroy (UniversitÃ¨ Paris VI, France) William B. Johnson (Texas A&M University) Joram Lindenstrauss (Hebrew University, Israel) Assaf Naor (Microsoft Research) Edward Odell (University of Texas) Aleksander Pelczynski (Polish Academy of Sciences, Poland) David Preiss (University College, London, UK) Gideon Schechtman (Weizmann Institute of Science, Israel) Thomas Schlumprecht (Texas A&M University) Vladimir Temlyakov (University of South Carolina) Roman Vershynin (University of California - Davis) Lutz Weis (UniversitÃ¤t Karlsruhe, Germany) Przemyslaw Wojtaszczyk (Warsaw University, Poland) More information about the conference, its location, registration, accommodations and a printable poster are available at the website: http://www.users.muohio.edu/randrib/bsaa2006.html Please direct any questions to either of the organizers at randrib at muohio.edu or randrin at muohio.edu Sincerely yours, Beata Randrianantoanina Narcisse Randrianantoanina. _______________________________________________ Banach mailing list Banach at math.okstate.edu http://mail.math.okstate.edu:8080/mailman/listinfo/banach

From banach-bounces at math.okstate.edu Wed Jan 26 07:13:23 2005 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 (8.12.11/8.12.11) with ESMTP id j0QDDLkR010896 for <alspach at www.math.okstate.edu>; Wed, 26 Jan 2005 07:13:22 -0600 Received: from mail.math.okstate.edu (localhost.math.okstate.edu [127.0.0.1]) by mail.math.okstate.edu (Postfix) with ESMTP id E8AE04BA14; Wed, 26 Jan 2005 07:13:12 -0600 (CST) Received: from mail.math.okstate.edu (localhost.math.okstate.edu [127.0.0.1]) by mail.math.okstate.edu (Postfix) with ESMTP id 5C0954BA21; Wed, 26 Jan 2005 07:13:12 -0600 (CST) X-Original-To: banach at math.okstate.edu Delivered-To: banach at math.okstate.edu Received: from mail.math.okstate.edu (localhost.math.okstate.edu [127.0.0.1]) by mail.math.okstate.edu (Postfix) with ESMTP id 8D0994B8F2 for <banach at math.okstate.edu>; Wed, 26 Jan 2005 03:17:58 -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 BE1364B8A4 for <banach at math.okstate.edu>; Wed, 26 Jan 2005 03:17:57 -0600 (CST) Received: (from pmt6jrp at localhost) by amsta.leeds.ac.uk (8.9.3p2-3/8.9.3) id JAA15198 for banach at math.okstate.edu; Wed, 26 Jan 2005 09:17:41 GMT From: J R Partington <pmt6jrp at maths.leeds.ac.uk> Message-Id: <200501260917.JAA15198 at amsta.leeds.ac.uk> To: banach at math.okstate.edu Date: Wed, 26 Jan 2005 09:17:41 +0000 (GMT) X-Mailer: ELM [version 2.5 PL2] MIME-Version: 1.0 Content-Type: text/plain; charset=us-ascii Content-Transfer-Encoding: 7bit X-Virus-Scanned: ClamAV using ClamSMTP X-Mailman-Approved-At: Wed, 26 Jan 2005 07:13:11 -0600 Subject: [Banach] Lectureship in Analysis at Leeds X-BeenThere: banach at math.okstate.edu X-Mailman-Version: 2.1.5 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:8080/mailman/listinfo/banach>, <mailto:banach-request at math.okstate.edu?subject=unsubscribe> List-Archive: <http://mail.math.okstate.edu:8080/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:8080/mailman/listinfo/banach>, <mailto:banach-request at math.okstate.edu?subject=subscribe> Sender: banach-bounces at math.okstate.edu Errors-To: banach-bounces at math.okstate.edu X-Virus-Scanned: ClamAV using ClamSMTP Status: R

There is a lectureship in Analysis (a permanent position) currently advertised at the School of Mathematics, University of Leeds, U.K. The closing date for applications is March 1st 2005. Further details are available by following the link from http://wwwnotes2.leeds.ac.uk/jobs/unijob.nsf/Academic?OpenView Details of the Functional Analysis group at Leeds can be found at http://maths.leeds.ac.uk/pure/analysis/index.html Informal enquiries can be directed to Professors M.J. Wilson (Chairman of the School), mike at maths.leeds.ac.uk, J.C. Wood (Head of Pure Mathematics), j.c.wood at leeds.ac.uk, or J.R. Partington, j.r.partington at leeds.ac.uk. _______________________________________________ Banach mailing list Banach at math.okstate.edu http://mail.math.okstate.edu:8080/mailman/listinfo/banach

From alspach at www.math.okstate.edu Wed Jan 26 07:18:51 2005 Return-Path: <alspach at www.math.okstate.edu> Received: from www.math.okstate.edu (www.math.okstate.edu [127.0.0.1]) by www.math.okstate.edu (8.12.11/8.12.11) with ESMTP id j0QDIphH011021; Wed, 26 Jan 2005 07:18:51 -0600 Received: (from alspach at localhost) by www.math.okstate.edu (8.12.11/8.12.11/Submit) id j0QDIphI011019; Wed, 26 Jan 2005 07:18:51 -0600 Date: Wed, 26 Jan 2005 07:18:51 -0600 From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200501261318.j0QDIphI011019 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu Subject: Abstract of a paper by Rafal Latal and Krzysztof Oleszkiewicz Status: R

This is an announcement for the paper "Small ball probability estimates in terms of width" by Rafal Latal and Krzysztof Oleszkiewicz. Abstract: A certain inequality conjectured by Vershynin is studied. It is proved that for any $n$-dimensional symmetric convex body $K$ with inradius $w$ and $\gamma_{n}(K) \leq 1/2$ there is $\gamma_{n}(sK) \leq (2s)^{w^{2}/4}\gamma_{n}(K)$ for any $s \in [0,1]$. Some natural corollaries are deduced. Another conjecture of Vershynin is proved to be false. Archive classification: Probability; Functional Analysis Mathematics Subject Classification: 60G15, 60E15 Remarks: 10 pages The source file(s), , is(are) stored in gzipped form as with size . The corresponding postcript file has gzipped size . Submitted from: rlatala at mimuw.edu.pl The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.PR/0501268 or http://arXiv.org/abs/math.PR/0501268 or by email in unzipped form by transmitting an empty message with subject line uget 0501268 or in gzipped form by using subject line get 0501268 to: math at arXiv.org.

From alspach at www.math.okstate.edu Wed Jan 26 07:20:03 2005 Return-Path: <alspach at www.math.okstate.edu> Received: from www.math.okstate.edu (www.math.okstate.edu [127.0.0.1]) by www.math.okstate.edu (8.12.11/8.12.11) with ESMTP id j0QDK3A4011111; Wed, 26 Jan 2005 07:20:03 -0600 Received: (from alspach at localhost) by www.math.okstate.edu (8.12.11/8.12.11/Submit) id j0QDK392011109; Wed, 26 Jan 2005 07:20:03 -0600 Date: Wed, 26 Jan 2005 07:20:03 -0600 From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200501261320.j0QDK392011109 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu Subject: Abstract of a paper by Sasha Sodin Status: R

This is an announcement for the paper "Tail-sensitive Gaussian asymptotics for marginals of concentrated measures in high dimension" by Sasha Sodin. Abstract: If the Euclidean norm is strongly concentrated with respect to a measure, the average distribution of an average marginal of this measure has Gaussian asymptotics that captures tail behaviour. If the marginals of the measure have exponential moments, Gaussian asymptotics for the distribution of the average marginal implies Gaussian asymptotics for the distribution of most individual marginals. We show applications to measures of geometric origin. Archive classification: Metric Geometry; Functional Analysis Remarks: 29 pages The source file(s), all3.tex: 62865 bytes, is(are) stored in gzipped form as 0501382.gz with size 19kb. The corresponding postcript file has gzipped size 96kb. Submitted from: a_sodin at hotmail.com The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.MG/0501382 or http://arXiv.org/abs/math.MG/0501382 or by email in unzipped form by transmitting an empty message with subject line uget 0501382 or in gzipped form by using subject line get 0501382 to: math at arXiv.org.

From alspach at www.math.okstate.edu Fri Feb 4 13:13:56 2005 Return-Path: <alspach at www.math.okstate.edu> Received: from www.math.okstate.edu (www.math.okstate.edu [127.0.0.1]) by www.math.okstate.edu (8.12.11/8.12.11) with ESMTP id j14JDtqr018522; Fri, 4 Feb 2005 13:13:55 -0600 Received: (from alspach at localhost) by www.math.okstate.edu (8.12.11/8.12.11/Submit) id j14JDtn8018520; Fri, 4 Feb 2005 13:13:55 -0600 Date: Fri, 4 Feb 2005 13:13:55 -0600 From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200502041913.j14JDtn8018520 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu Subject: Abstract of a paper by Harald Hanche-Olsen Status: R

This is an announcement for the paper "On the uniform convexity of L^p" by Harald Hanche-Olsen. Abstract: We present a short, direct proof of the uniform convexity of L^p spaces for 1<p<\infty. Archive classification: Functional Analysis Mathematics Subject Classification: 46E30 The source file(s), uc2.tex: 7706 bytes, is(are) stored in gzipped form as 0502021.gz with size 3kb. The corresponding postcript file has gzipped size 26kb. Submitted from: hanche at math.ntnu.no The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0502021 or http://arXiv.org/abs/math.FA/0502021 or by email in unzipped form by transmitting an empty message with subject line uget 0502021 or in gzipped form by using subject line get 0502021 to: math at arXiv.org.

From alspach at www.math.okstate.edu Fri Feb 4 13:15:52 2005 Return-Path: <alspach at www.math.okstate.edu> Received: from www.math.okstate.edu (www.math.okstate.edu [127.0.0.1]) by www.math.okstate.edu (8.12.11/8.12.11) with ESMTP id j14JFqwd018609; Fri, 4 Feb 2005 13:15:52 -0600 Received: (from alspach at localhost) by www.math.okstate.edu (8.12.11/8.12.11/Submit) id j14JFqej018607; Fri, 4 Feb 2005 13:15:52 -0600 Date: Fri, 4 Feb 2005 13:15:52 -0600 From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200502041915.j14JFqej018607 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 "Minimality, homogeneity and topological 0-1 laws for subspaces of a Banach space" by Valentin Ferenczi. Abstract: If a Banach space is saturated with basic sequences whose linear span embeds into the linear span of any subsequence, then it contains a minimal subspace. It follows that any Banach space is either ergodic or contains a minimal subspace. If $X$ is a Banach space with a Schauder basis, the relation $E_0$ is Borel reducible to permutative equivalence between normalized block-sequences of $X$, or $X$ is $c_0$-saturated or $l_p$-saturated for some $1 \leq p <+\infty$. For a Banach space $X$ with an (unconditional) basis, topological 0-1 law type dichotomies are stated for block-subspaces of $X$ as well as for subspaces of $X$ with a successive FDD on its basis. A uniformity principle for properties of block-sequences, results about block-homogeneity, and a possible method to construct a Banach space with an unconditional basis, which has a complemented subspace without an unconditional basis, are deduced. Archive classification: Functional Analysis; Combinatorics Mathematics Subject Classification: 46B03; 46B15 The source file(s), ferenczitopolaw.tex: 93769 bytes, is(are) stored in gzipped form as 0502054.gz with size 26kb. The corresponding postcript file has gzipped size 99kb. 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/0502054 or http://arXiv.org/abs/math.FA/0502054 or by email in unzipped form by transmitting an empty message with subject line uget 0502054 or in gzipped form by using subject line get 0502054 to: math at arXiv.org.

From alspach at www.math.okstate.edu Thu Feb 10 08:22:26 2005 Return-Path: <alspach at www.math.okstate.edu> Received: from www.math.okstate.edu (www.math.okstate.edu [127.0.0.1]) by www.math.okstate.edu (8.12.11/8.12.11) with ESMTP id j1AEMQYg020823; Thu, 10 Feb 2005 08:22:26 -0600 Received: (from alspach at localhost) by www.math.okstate.edu (8.12.11/8.12.11/Submit) id j1AEMQl2020821; Thu, 10 Feb 2005 08:22:26 -0600 Date: Thu, 10 Feb 2005 08:22:26 -0600 From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200502101422.j1AEMQl2020821 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu Subject: Abstract of a paper by Jesus M. F. Castillo, Yolanda Moreno and Jesus Suarez Status: R

This is an announcement for the paper "On Lindenstrauss-Pelczynski spaces" by Jesus M. F. Castillo, Yolanda Moreno and Jesus Suarez. Abstract: In this work we shall be concerned with some stability aspects of the classical problem of extension of $C(K)$-valued operators. We introduce the class $\mathscr{LP}$ of Banach spaces of Lindenstrauss-Pe\l czy\'{n}sky type as those such that every operator from a subspace of $c_0$ into them can be extended to $c_0$. We show that all $\mathscr{LP}$-spaces are of type $\mathcal L_\infty$ but not the converse. Moreover, $\mathcal L_\infty$-spaces will be characterized as those spaces $E$ such that $E$-valued operators from $w^*(l_1,c_0)$-closed subspaces of $l_1$ extend to $l_1$. Complemented subspaces of $C(K)$ and separably injective spaces are subclasses of $\mathscr{LP}$-spaces and we show that the former does not contain the latter. It is established that $\mathcal L_\infty$-spaces not containing $l_1$ are quotients of $\mathscr{LP}$-spaces, while $\mathcal L_\infty$-spaces not containing $c_0$, quotients of an $\mathscr{LP}$-space by a separably injective space and twisted sums of $\mathscr{LP}$-spaces are $\mathscr{LP}$-spaces. Archive classification: Functional Analysis Mathematics Subject Classification: 46B03; 46M99; 46B07 The source file(s), CastilloMorenoLP.tex: 49873 bytes, is(are) stored in gzipped form as 0502081.gz with size 15kb. The corresponding postcript file has gzipped size 72kb. Submitted from: castillo at unex.es The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0502081 or http://arXiv.org/abs/math.FA/0502081 or by email in unzipped form by transmitting an empty message with subject line uget 0502081 or in gzipped form by using subject line get 0502081 to: math at arXiv.org.

From alspach at www.math.okstate.edu Wed Feb 16 08:15:36 2005 Return-Path: <alspach at www.math.okstate.edu> Received: from www.math.okstate.edu (www.math.okstate.edu [127.0.0.1]) by www.math.okstate.edu (8.12.11/8.12.11) with ESMTP id j1GEFZx9024776; Wed, 16 Feb 2005 08:15:35 -0600 Received: (from alspach at localhost) by www.math.okstate.edu (8.12.11/8.12.11/Submit) id j1GEFZQJ024774; Wed, 16 Feb 2005 08:15:35 -0600 Date: Wed, 16 Feb 2005 08:15:35 -0600 From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200502161415.j1GEFZQJ024774 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu Subject: Abstract of a paper by Mark Rudelson and Roman Vershynin Status: R

This is an announcement for the paper "Geometric approach to error correcting codes and reconstruction of signals" by Mark Rudelson and Roman Vershynin. Abstract: We develop an approach through geometric functional analysis to error correcting codes and to reconstruction of signals from few linear measurements. An error correcting code encodes an n-letter word x into an m-letter word y in such a way that x can be decoded correctly when any r letters of y are corrupted. We prove that most linear orthogonal transformations Q from R^n into R^m form efficient and robust robust error correcting codes over reals. The decoder (which corrects the corrupted components of y) is the metric projection onto the range of Q in the L_1 norm. An equivalent problem arises in signal processing: how to reconstruct a signal that belongs to a small class from few linear measurements? We prove that for most sets of Gaussian measurements, all signals of small support can be exactly reconstructed by the L_1 norm minimization. This is a substantial improvement of recent results of Donoho and of Candes and Tao. An equivalent problem in combinatorial geometry is the existence of a polytope with fixed number of facets and maximal number of lower-dimensional facets. We prove that most sections of the cube form such polytopes. Archive classification: Functional Analysis; Combinatorics Mathematics Subject Classification: 46B07; 94B75, 68P30, 52B05 Remarks: 17 pages, 3 figures The source file(s), ecc.tex: 50560 bytes, ecc1.eps: 4526 bytes, ecc2.eps: 17097 bytes, ecc3.eps: 4645 bytes, is(are) stored in gzipped form as 0502299.tar.gz with size 23kb. The corresponding postcript file has gzipped size 84kb. 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/0502299 or http://arXiv.org/abs/math.FA/0502299 or by email in unzipped form by transmitting an empty message with subject line uget 0502299 or in gzipped form by using subject line get 0502299 to: math at arXiv.org.

From alspach at www.math.okstate.edu Wed Feb 16 08:16:18 2005 Return-Path: <alspach at www.math.okstate.edu> Received: from www.math.okstate.edu (www.math.okstate.edu [127.0.0.1]) by www.math.okstate.edu (8.12.11/8.12.11) with ESMTP id j1GEGI9K024834; Wed, 16 Feb 2005 08:16:18 -0600 Received: (from alspach at localhost) by www.math.okstate.edu (8.12.11/8.12.11/Submit) id j1GEGINu024832; Wed, 16 Feb 2005 08:16:18 -0600 Date: Wed, 16 Feb 2005 08:16:18 -0600 From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200502161416.j1GEGINu024832 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 "OH-type and OH-cotype of operator spaces and completely summing maps" by Hun Hee Lee. Abstract: The definition and basic properties of OH-type and OH-cotype of operator spaces are given. We prove that every bounded linear map from C(K) into OH-cotype q (2<= q < infinity) space (including most of commutative L_q-spaces) for a compact set K satisfies completely (q,2)-summing property, a noncommutative analogue of absolutely (q,2)-summing property. At the end of this paper, we observe that ``OH-cotype 2" is equivalent to the previous definition of ``OH-cotype 2" of G. Pisier. Archive classification: Functional Analysis; Operator Algebras Remarks: 17 pages The source file(s), OH-typecotype.tex: 46265 bytes, is(are) stored in gzipped form as 0502302.gz with size 13kb. The corresponding postcript file has gzipped size 80kb. Submitted from: hunmada at hanmail.net The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0502302 or http://arXiv.org/abs/math.FA/0502302 or by email in unzipped form by transmitting an empty message with subject line uget 0502302 or in gzipped form by using subject line get 0502302 to: math at arXiv.org.

From alspach at www.math.okstate.edu Wed Feb 16 08:17:05 2005 Return-Path: <alspach at www.math.okstate.edu> Received: from www.math.okstate.edu (www.math.okstate.edu [127.0.0.1]) by www.math.okstate.edu (8.12.11/8.12.11) with ESMTP id j1GEH5Sl024892; Wed, 16 Feb 2005 08:17:05 -0600 Received: (from alspach at localhost) by www.math.okstate.edu (8.12.11/8.12.11/Submit) id j1GEH5ju024890; Wed, 16 Feb 2005 08:17:05 -0600 Date: Wed, 16 Feb 2005 08:17:05 -0600 From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200502161417.j1GEH5ju024890 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 "Eigenvalues of completely nuclear maps and completely bounded projection constants" by Hun Hee Lee. Abstract: We investigate the distribution of eigenvalues of completely nuclear maps on an operator space. We prove that eigenvalues of completely nuclear maps are square-summable in general and summable if the underlying operator space is Hilbertian and homogeneous. Conversely, if eigenvalues are summable for all completely nuclear maps, then every finite dimensional subspace of the underlying operator space is uniformly completely complemented. As an application we consider an estimate of completely bounded projection constants of $n$-dimensional operator spaces. Archive classification: Functional Analysis; Operator Algebras Remarks: 10 pages The source file(s), EigenComNuclear.tex: 27465 bytes, is(are) stored in gzipped form as 0502335.gz with size 9kb. The corresponding postcript file has gzipped size 55kb. Submitted from: hunmada at hanmail.net The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0502335 or http://arXiv.org/abs/math.FA/0502335 or by email in unzipped form by transmitting an empty message with subject line uget 0502335 or in gzipped form by using subject line get 0502335 to: math at arXiv.org.

From alspach at www.math.okstate.edu Thu Feb 17 07:10:08 2005 Return-Path: <alspach at www.math.okstate.edu> Received: from www.math.okstate.edu (www.math.okstate.edu [127.0.0.1]) by www.math.okstate.edu (8.12.11/8.12.11) with ESMTP id j1HDA8Xr002943; Thu, 17 Feb 2005 07:10:08 -0600 Received: (from alspach at localhost) by www.math.okstate.edu (8.12.11/8.12.11/Submit) id j1HDA8Xq002941; Thu, 17 Feb 2005 07:10:08 -0600 Date: Thu, 17 Feb 2005 07:10:08 -0600 From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200502171310.j1HDA8Xq002941 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 "Weak OH-type 2 and weak OH-cotype 2 of operator spaces" by Hun Hee Lee. Abstract: Recently, OH-type and OH-cotype of operator spaces, an operator space version of type and cotype, were introduced and investigated by the author. In this paper we define weak OH-type 2 (resp. weak OH-cotype 2) of operator spaces, which lies strictly between OH-type 2 (resp. OH-cotype 2) and OH-type $p$ for all $1 \leq p < 2$. (resp. OH-cotype $q$ for all $2< q <= \infty$) This is an analogue of weak type 2 and weak cotype 2 in Banach space case, so we develop analogous theory focusing on the local properties of spaces with such conditions. Archive classification: Functional Analysis; Operator Algebras Remarks: 21 pages The source file(s), WeakOH.tex: 55124 bytes, is(are) stored in gzipped form as 0502337.gz with size 15kb. The corresponding postcript file has gzipped size 85kb. Submitted from: hunmada at hanmail.net The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0502337 or http://arXiv.org/abs/math.FA/0502337 or by email in unzipped form by transmitting an empty message with subject line uget 0502337 or in gzipped form by using subject line get 0502337 to: math at arXiv.org.

From alspach at www.math.okstate.edu Wed Mar 9 09:11:17 2005 Return-Path: <alspach at www.math.okstate.edu> Received: from www.math.okstate.edu (www.math.okstate.edu [127.0.0.1]) by www.math.okstate.edu (8.12.11/8.12.11) with ESMTP id j29FBGfr013217; Wed, 9 Mar 2005 09:11:16 -0600 Received: (from alspach at localhost) by www.math.okstate.edu (8.12.11/8.12.11/Submit) id j29FBGsh013215; Wed, 9 Mar 2005 09:11:16 -0600 Date: Wed, 9 Mar 2005 09:11:16 -0600 From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200503091511.j29FBGsh013215 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu Subject: Abstract of a paper by Miguel Martin, Javier Meri and Rafael Paya Status: R

This is an announcement for the paper "On the intrinsic and the spatial numerical range" by Miguel Martin, Javier Meri and Rafael Paya. Abstract: For a bounded function $f$ from the unit sphere of a closed subspace $X$ of a Banach space $Y$, we study when the closed convex hull of its spatial numerical range $W(f)$ is equal to its intrinsic numerical range $V(f)$. We show that for every infinite-dimensional Banach space $X$ there is a superspace $Y$ and a bounded linear operator $T:X\longrightarrow Y$ such that $\ecc W(T)\neq V(T)$. We also show that, up to renormig, for every non-reflexive Banach space $Y$, one can find a closed subspace $X$ and a bounded linear operator $T\in L(X,Y)$ such that $\ecc W(T)\neq V(T)$. Finally, we introduce a sufficient condition for the closed convex hull of the spatial numerical range to be equal to the intrinsic numerical range, which we call the Bishop-Phelps-Bollobas property, and which is weaker than the uniform smoothness and the finite-dimensionality. We characterize strong subdifferentiability and uniform smoothness in terms of this property. Archive classification: Functional Analysis Mathematics Subject Classification: 46B20; 47A12 Remarks: 12 pages The source file(s), MartinMeriPaya.tex: 40725 bytes, is(are) stored in gzipped form as 0503076.gz with size 13kb. The corresponding postcript file has gzipped size 70kb. 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/0503076 or http://arXiv.org/abs/math.FA/0503076 or by email in unzipped form by transmitting an empty message with subject line uget 0503076 or in gzipped form by using subject line get 0503076 to: math at arXiv.org.

From alspach at www.math.okstate.edu Tue Mar 22 09:03:49 2005 Return-Path: <alspach at www.math.okstate.edu> Received: from www.math.okstate.edu (www.math.okstate.edu [127.0.0.1]) by www.math.okstate.edu (8.12.11/8.12.11) with ESMTP id j2MF3nKL020306; Tue, 22 Mar 2005 09:03:49 -0600 Received: (from alspach at localhost) by www.math.okstate.edu (8.12.11/8.12.11/Submit) id j2MF3m2A020304; Tue, 22 Mar 2005 09:03:48 -0600 Date: Tue, 22 Mar 2005 09:03:48 -0600 From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200503221503.j2MF3m2A020304 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu Subject: Abstract of a paper by V.Yaskin Status: R

This is an announcement for the paper "A solution to the lower dimensional Busemann-Petty problem in the hyperbolic space" by V.Yaskin. Abstract: The lower dimensional Busemann-Petty problem asks whether origin symmetric convex bodies in $\mathbb{R}^n$ with smaller volume of all $k$-dimensional sections necessarily have smaller volume. As proved by Bourgain and Zhang, the answer to this question is negative if $k>3$. The problem is still open for $k=2,3$. In this article we formulate and completely solve the lower dimensional Busemann-Petty problem in the hyperbolic space $\mathbb{H}^n$. Archive classification: Functional Analysis; Metric Geometry Mathematics Subject Classification: 52A55, 52A20, 46B20 Remarks: 12 pages, 2 figures The source file(s), LDHBP.tex: 70816 bytes, pic04.eps: 9457 bytes, pic06.eps: 9542 bytes, is(are) stored in gzipped form as 0503289.tar.gz with size 25kb. The corresponding postcript file has gzipped size 59kb. Submitted from: yaskinv at math.missouri.edu The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0503289 or http://arXiv.org/abs/math.FA/0503289 or by email in unzipped form by transmitting an empty message with subject line uget 0503289 or in gzipped form by using subject line get 0503289 to: math at arXiv.org.

From alspach at www.math.okstate.edu Tue Mar 22 09:04:31 2005 Return-Path: <alspach at www.math.okstate.edu> Received: from www.math.okstate.edu (www.math.okstate.edu [127.0.0.1]) by www.math.okstate.edu (8.12.11/8.12.11) with ESMTP id j2MF4VFw020364; Tue, 22 Mar 2005 09:04:31 -0600 Received: (from alspach at localhost) by www.math.okstate.edu (8.12.11/8.12.11/Submit) id j2MF4VfF020362; Tue, 22 Mar 2005 09:04:31 -0600 Date: Tue, 22 Mar 2005 09:04:31 -0600 From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200503221504.j2MF4VfF020362 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu Subject: Abstract of a paper by V.Yaskin and M.Yaskina Status: R

This is an announcement for the paper "Centroids and comparison of volumes" by V.Yaskin and M.Yaskina. Abstract: For $-1<p<1$ we introduce the concept of a polar $p$-centroid body ${\Gamma^*_p K}$ of a star body $K$. We consider the question of whether ${\Gamma^*_p K}\subset {\Gamma^*_p L}$ implies $\mathrm{vol}(L)\le \mathrm{vol}(K).$ Our results extend the studies by Lutwak in the case $p=1$ and Grinberg, Zhang in the case $p> 1$. Archive classification: Functional Analysis Mathematics Subject Classification: 52Axx Remarks: 18 pages The source file(s), centr.tex: 51970 bytes, is(are) stored in gzipped form as 0503290.gz with size 13kb. The corresponding postcript file has gzipped size 71kb. Submitted from: yaskinv at math.missouri.edu The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0503290 or http://arXiv.org/abs/math.FA/0503290 or by email in unzipped form by transmitting an empty message with subject line uget 0503290 or in gzipped form by using subject line get 0503290 to: math at arXiv.org.

From alspach at www.math.okstate.edu Wed Mar 23 08:18:49 2005 Return-Path: <alspach at www.math.okstate.edu> Received: from www.math.okstate.edu (www.math.okstate.edu [127.0.0.1]) by www.math.okstate.edu (8.12.11/8.12.11) with ESMTP id j2NEInhJ030701; Wed, 23 Mar 2005 08:18:49 -0600 Received: (from alspach at localhost) by www.math.okstate.edu (8.12.11/8.12.11/Submit) id j2NEInwc030699; Wed, 23 Mar 2005 08:18:49 -0600 Date: Wed, 23 Mar 2005 08:18:49 -0600 From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200503231418.j2NEInwc030699 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu Subject: Abstract of a paper by Mark Rudelson and Roman Vershynin Status: R

This is an announcement for the paper "Sampling from large matrices: an approach through geometric functional analysis" by Mark Rudelson and Roman Vershynin. Abstract: We study random submatrices of a large matrix A. We show how to approximately compute A from its random submatrix. This improves known algorithms for computing low-rank approximations of large matrices. We also estimate norms of random submatrices of A. This yields an improved approximation algorithm for all MAX-2CSP problems (which includes MAX-CUT and other graph problems). Our results are essentially dimension-free; the picture is only controlled by the norms of the matrix and not by its size or rank. We use methods of Probability in Banach spaces, in particular the law of large numbers for random operators. Archive classification: Functional Analysis; Numerical Analysis Mathematics Subject Classification: 15A60, 68W20, 15A18 The source file(s), rv-random-submatrices.tex: 50699 bytes, is(are) stored in gzipped form as 0503442.gz with size 16kb. The corresponding postcript file has gzipped size 82kb. 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/0503442 or http://arXiv.org/abs/math.FA/0503442 or by email in unzipped form by transmitting an empty message with subject line uget 0503442 or in gzipped form by using subject line get 0503442 to: math at arXiv.org.

From alspach at www.math.okstate.edu Tue Mar 29 12:17:36 2005 Return-Path: <alspach at www.math.okstate.edu> Received: from www.math.okstate.edu (www.math.okstate.edu [127.0.0.1]) by www.math.okstate.edu (8.12.11/8.12.11) with ESMTP id j2TIHaOs006352; Tue, 29 Mar 2005 12:17:36 -0600 Received: (from alspach at localhost) by www.math.okstate.edu (8.12.11/8.12.11/Submit) id j2TIHapg006350; Tue, 29 Mar 2005 12:17:36 -0600 Date: Tue, 29 Mar 2005 12:17:36 -0600 From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200503291817.j2TIHapg006350 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu Subject: Abstract of a paper by Madjid Mirzavaziri and Mohammad Sal Moslehian Status: R

This is an announcement for the paper "Parallelogram norm" by Madjid Mirzavaziri and Mohammad Sal Moslehian. Abstract: Replacing the triangle inequality by \|x+y\|^2\leq 2(\|x\|^2 + \|y\|^2) in the definition of norm we obtain the notion of parallelogram norm. We establish that every parallelogram norm is a norm in the usual sense. Archive classification: Functional Analysis Mathematics Subject Classification: 46B20; 46C05 Remarks: 3 pages The source file(s), Paral1.tex: 4582 bytes, is(are) stored in gzipped form as 0503616.gz with size 2kb. The corresponding postcript file has gzipped size 27kb. Submitted from: msalm at math.um.ac.ir The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0503616 or http://arXiv.org/abs/math.FA/0503616 or by email in unzipped form by transmitting an empty message with subject line uget 0503616 or in gzipped form by using subject line get 0503616 to: math at arXiv.org.

From banach-bounces at math.okstate.edu Fri Apr 1 07:11:51 2005 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 (8.12.11/8.12.11) with ESMTP id j31DBovE005498 for <alspach at www.math.okstate.edu>; Fri, 1 Apr 2005 07:11:50 -0600 Received: from mail.math.okstate.edu (localhost.math.okstate.edu [127.0.0.1]) by mail.math.okstate.edu (Postfix) with ESMTP id CCEB24BA86; Fri, 1 Apr 2005 07:11:42 -0600 (CST) Received: from mail.math.okstate.edu (localhost.math.okstate.edu [127.0.0.1]) by mail.math.okstate.edu (Postfix) with ESMTP id 331594BA7D; Fri, 1 Apr 2005 07:11:42 -0600 (CST) X-Original-To: banach at math.okstate.edu Delivered-To: banach at math.okstate.edu Received: from mail.math.okstate.edu (localhost.math.okstate.edu [127.0.0.1]) by mail.math.okstate.edu (Postfix) with ESMTP id B5DCD4B899 for <banach at math.okstate.edu>; Fri, 1 Apr 2005 06:13:33 -0600 (CST) Received: from uxasig04.univ-artois.fr (uxasig04.univ-artois.fr [193.49.115.34]) by mail.math.okstate.edu (Postfix) with ESMTP id 0AF9C4B852 for <banach at math.okstate.edu>; Fri, 1 Apr 2005 06:13:32 -0600 (CST) Received: from mailserv.univ-artois.fr (mailserv.univ-artois.fr [193.49.62.13]) by uxasig04.univ-artois.fr (8.12.10/8.12.10) with ESMTP id j31CDQwT063607 for <banach at math.okstate.edu>; Fri, 1 Apr 2005 14:13:26 +0200 (CEST) Received: from univ-artois.fr (uxasig34.univ-artois.fr [193.49.62.34]) by mailserv.univ-artois.fr (8.12.10/8.12.10/0.0.0) with ESMTP id j31CDSKH015285 for <banach at math.okstate.edu>; Fri, 1 Apr 2005 14:13:28 +0200 Received: from pc-lens-140-135.univ-artois.fr (pc-lens-140-135.univ-artois.fr [172.17.140.135]) by univ-artois.fr (8.12.9/8.12.9) with ESMTP id j31CDR1s009922 for <banach at math.okstate.edu>; Fri, 1 Apr 2005 14:13:28 +0200 Message-Id: <5.0.2.1.2.20050401141242.00a1a270 at euler.univ-artois.fr> X-Sender: li at euler.univ-artois.fr X-Mailer: QUALCOMM Windows Eudora Version 5.0.2 Date: Fri, 01 Apr 2005 14:13:16 +0200 To: banach at math.okstate.edu From: Daniel LI <daniel.li at euler.univ-artois.fr> Mime-Version: 1.0 Content-Type: text/plain; charset="iso-8859-1"; format=flowed X-U_ARTOIS-MailScanner: Found to be clean X-Virus-Scanned: ClamAV using ClamSMTP X-Mailman-Approved-At: Fri, 01 Apr 2005 07:11:41 -0600 Subject: [Banach] (no subject) X-BeenThere: banach at math.okstate.edu X-Mailman-Version: 2.1.5 Precedence: list List-Id: Banach Space Theory News <banach.math.okstate.edu> List-Unsubscribe: <http://mail.math.okstate.edu:8080/mailman/listinfo/banach>, <mailto:banach-request at math.okstate.edu?subject=unsubscribe> List-Archive: <http://mail.math.okstate.edu:8080/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:8080/mailman/listinfo/banach>, <mailto:banach-request at math.okstate.edu?subject=subscribe> 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 j31DBovE005498 Status: R

Le volume 12 de la collection "Cours Specialises" est a votre disposition. INTRODUCTION A L'ETUDE DES ESPACES DE BANACH ANALYSE ET PROBABILITES Daniel Li, Herve Queffelec xxiv+627 pages Ce livre est consacre a l'etude des espaces de Banach, en mettant l'accent sur les liens avec l'Analyse classique, l'Analyse Harmonique, et les Probabilites. Seules des connaissances usuelles d'Analyse Fonctionnelle de niveau Maitrise sont requises, l'etude etant prise a son debut. Elle est progressivement developpee de facon approfondie, presentant plusieurs resultats fondamentaux obtenus dans la periode 1950--2000: Theoreme de Grothendieck, Theoreme de Dvoretzky, Theoreme de dichotomie de Rosenthal, Theoreme de dichotomie de Gowers, etc., avec certaines de leurs applications. This book is devoted to the study of Banach spaces, with emphasis on the connections with classical Analysis, Harmonic Analysis and Probability Theory. It can be tackled by beginning graduates: the study is taken at its beginning, and then worked out thoroughly, presenting several fundamental results which were obtained during the period 1950--2000: Grothendieck's Theorem, Dvoretzky's Theorem, Rosenthal's dichotomy Theorem, Gowers's dichotomy Theorem, etc., with some of their applications. Prix public (pour chaque volume) : 72 euro + frais de port (France : 5 euro, Europe : 6 euro, Hors Europe : 7 euro) Prix membre (pour chaque volume) : 51 euro + frais de port (France : 5 euro, Europe : 6 euro, Hors Europe : 7 euro) Vous pouvez vous procurer ces volumes en le commandant a la cellule de diffusion de Marseille : Maison de la SMF, BP 67, 13274 Marseille cedex 09, Tel : (33) 04 91 26 74 64, Fax : (33) 04 91 41 17 57, email : smf at smf.univ-mrs.fr, url : http://smf.emath.fr/, ou en passant le chercher au secretariat de la SMF a Paris (IHP, 11 rue Pierre et Marie Curie 75005 Paris). Vous pouvez aussi passer directement votre commande par l'intermediaire du serveur a l'adresse suivante : http://smf.emath.fr/ Daniel Li Université d'Artois Laboratoire de Mathématiques de Lens (LML) Faculté des Sciences Jean Perrin rue Jean Souvraz, SP 18 62307 LENS Cedex Tel +33 (0)3 21 79 17 22 Fax +33 (0)3 21 79 17 29 daniel.li at euler.univ-artois.fr _______________________________________________ Banach mailing list Banach at math.okstate.edu http://mail.math.okstate.edu:8080/mailman/listinfo/banach

From alspach at www.math.okstate.edu Fri Apr 1 08:27:10 2005 Return-Path: <alspach at www.math.okstate.edu> Received: from www.math.okstate.edu (www.math.okstate.edu [127.0.0.1]) by www.math.okstate.edu (8.12.11/8.12.11) with ESMTP id j31ERAqA006100; Fri, 1 Apr 2005 08:27:10 -0600 Received: (from alspach at localhost) by www.math.okstate.edu (8.12.11/8.12.11/Submit) id j31ERAWa006098; Fri, 1 Apr 2005 08:27:10 -0600 Date: Fri, 1 Apr 2005 08:27:10 -0600 From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200504011427.j31ERAWa006098 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu Subject: Abstract of a paper by Guillaume Aubrun and Stanislaw J. Szarek Status: R

This is an announcement for the paper "Tensor products of convex sets and the volume of separable states on N qudits" by Guillaume Aubrun and Stanislaw J. Szarek. Abstract: This note deals with estimating the volume of the set of separable mixed quantum states when the dimension of the state space grows to infinity. This has been studied recently for qubits; here we consider larger particles. We also show that the partial transpose criterion becomes weaker when the dimension increases, and that the lower bound $6^{-N/2}$ on the (Hilbert-Schmidt) inradius of the set of separable states on $N$ qubits obtained recently by Gurvits and Barnum is essentially optimal. We employ standard tools of classical convexity, high-dimensional probability and geometry of Banach spaces; one relatively new point is a formal introduction of the concept of projective tensor products of convex bodies, and an initial study of this concept. PACS numbers: 03.65.Ud,03.67.-a,03.65.Db,02.40.Ft,02.50.Cw MSC-class: 46B28, 47B10, 47L05, 52A38, 81P68 Archive classification: Quantum Physics; Functional Analysis Remarks: 14 pages The source file(s), , is(are) stored in gzipped form as with size . The corresponding postcript file has gzipped size . 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/0503221 or http://arXiv.org/abs/quant-ph/0503221 or by email in unzipped form by transmitting an empty message with subject line uget 0503221 or in gzipped form by using subject line get 0503221 to: math at arXiv.org.

From alspach at www.math.okstate.edu Tue Apr 5 07:58:24 2005 Return-Path: <alspach at www.math.okstate.edu> Received: from www.math.okstate.edu (www.math.okstate.edu [127.0.0.1]) by www.math.okstate.edu (8.12.11/8.12.11) with ESMTP id j35CwOk2021165; Tue, 5 Apr 2005 07:58:24 -0500 Received: (from alspach at localhost) by www.math.okstate.edu (8.12.11/8.12.11/Submit) id j35CwOJE021163; Tue, 5 Apr 2005 07:58:24 -0500 Date: Tue, 5 Apr 2005 07:58:24 -0500 From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200504051258.j35CwOJE021163 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. S. Kutateladze Status: R

This is an announcement for the paper "On Grothendieck subspaces" by S. S. Kutateladze. Abstract: The modulus of an order bounded functional on a Riesz space is the sum of a pair of Riesz homomorphisms if and only if the kernel of this functional is a Grothendieck subspace of the ambient Riesz space. An operator version of this fact is given. Archive classification: Functional Analysis Mathematics Subject Classification: 46 B 42 The source file(s), sums.ams: 5318 bytes, is(are) stored in gzipped form as 0504046.gz with size 2kb. The corresponding postcript file has gzipped size 20kb. 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/0504046 or http://arXiv.org/abs/math.FA/0504046 or by email in unzipped form by transmitting an empty message with subject line uget 0504046 or in gzipped form by using subject line get 0504046 to: math at arXiv.org.

From alspach at www.math.okstate.edu Mon Apr 11 12:36:07 2005 Return-Path: <alspach at www.math.okstate.edu> Received: from www.math.okstate.edu (www.math.okstate.edu [127.0.0.1]) by www.math.okstate.edu (8.12.11/8.12.11) with ESMTP id j3BHa6ec026364; Mon, 11 Apr 2005 12:36:07 -0500 Received: (from alspach at localhost) by www.math.okstate.edu (8.12.11/8.12.11/Submit) id j3BHa6bo026362; Mon, 11 Apr 2005 12:36:06 -0500 Date: Mon, 11 Apr 2005 12:36:06 -0500 From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200504111736.j3BHa6bo026362 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu Subject: Abstract of a paper by Piotr Puchala Status: R

This is an announcement for the paper "Continuous version of the Choquet Integral Reperesentation Theorem" by Piotr Puchala. Abstract: The Choquet - Bishop - de Leeuw theorem states that each element of a compact convex subset of a locally convex topological Hausdorff space is a barycenter of a probability measure supported by the set of extreme points of that set. By the Edgar - Mankiewicz result this remains true for nonempty closed bounded and convex set provided it has Radon - Nikodym property. In the paper it is shown, that Choquet - type theorem holds also for "moving" sets: they are values of a certain multifunction. Namely, the existence of a suitable weak* continuous family of probability measures "almost representing" points of such sets is proven. Both compact and noncompact cases are considered. The continuous versions of the Krein - Milman theorem are obtained as corollaries. Archive classification: Functional Analysis Mathematics Subject Classification: 54C60; 54C65; 46A55; 46B22 Citation: Studia Math. 168 (1), 2005, 15-24 Remarks: 9 pages, minor historical, editorial and bibliographical changes; The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0405217 or http://arXiv.org/abs/math.FA/0405217 or by email in unzipped form by transmitting an empty message with subject line uget 0405217 or in gzipped form by using subject line get 0405217 to: math at arXiv.org.

From banach-bounces at math.okstate.edu Mon Apr 11 17:17:55 2005 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 (8.12.11/8.12.11) with ESMTP id j3BMHtJA029479 for <alspach at www.math.okstate.edu>; Mon, 11 Apr 2005 17:17:55 -0500 Received: from mail.math.okstate.edu (localhost.math.okstate.edu [127.0.0.1]) by mail.math.okstate.edu (Postfix) with ESMTP id 46F074BA8C; Mon, 11 Apr 2005 17:17:49 -0500 (CDT) Received: from mail.math.okstate.edu (localhost.math.okstate.edu [127.0.0.1]) by mail.math.okstate.edu (Postfix) with ESMTP id 8D4B14BA36; Mon, 11 Apr 2005 17:17:48 -0500 (CDT) X-Original-To: banach at math.okstate.edu Delivered-To: banach at math.okstate.edu Received: from mail.math.okstate.edu (localhost.math.okstate.edu [127.0.0.1]) by mail.math.okstate.edu (Postfix) with ESMTP id 054274B852 for <banach at math.okstate.edu>; Mon, 11 Apr 2005 16:27:44 -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 AAFFE4B84D for <banach at math.okstate.edu>; Mon, 11 Apr 2005 16:27:43 -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 j3BLRcYa005791 for <banach at math.okstate.edu>; Mon, 11 Apr 2005 16:27:38 -0500 Received: from localhost (johnson at localhost) by hilbert.math.tamu.edu (8.12.8/8.12.8/Submit) with ESMTP id j3BLRbc5005787 for <banach at math.okstate.edu>; Mon, 11 Apr 2005 16:27:38 -0500 X-Authentication-Warning: hilbert.math.tamu.edu: johnson owned process doing -bs Date: Mon, 11 Apr 2005 16:27:37 -0500 (CDT) From: Bill Johnson <johnson at math.tamu.edu> To: banach at math.okstate.edu Message-ID: <Pine.LNX.4.44.0504111626350.24422-100000 at hilbert.math.tamu.edu> MIME-Version: 1.0 Content-Type: TEXT/PLAIN; charset=US-ASCII X-Virus-Scanned: ClamAV using ClamSMTP X-Mailman-Approved-At: Mon, 11 Apr 2005 17:17:47 -0500 Subject: [Banach] Workshop at A&M X-BeenThere: banach at math.okstate.edu X-Mailman-Version: 2.1.5 Precedence: list List-Id: Banach Space Theory News <banach.math.okstate.edu> List-Unsubscribe: <http://mail.math.okstate.edu:8080/mailman/listinfo/banach>, <mailto:banach-request at math.okstate.edu?subject=unsubscribe> List-Archive: <http://mail.math.okstate.edu:8080/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:8080/mailman/listinfo/banach>, <mailto:banach-request at math.okstate.edu?subject=subscribe> 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 Linear Analysis and Probability Department of Mathematics Texas A&M University Summer 2005 The Summer 2005 session of the Workshop in Linear Analysis and Probability at Texas A&M University will be in session from July 5 until August 9. 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 5-7. This year SUMIRFAS is dedicated to Haskell P. Rosenthal on the occasion of his retirement from the University of Texas at Austin. Haskell was one of the original organizers of UTAMIRFAS, the forerunner of SUMIRFAS. There will be a banquet in Haskell's honor on August 5. The usual SUMIRFAS dinner will be on August 6. Alvaro Arias, Edward Odell, and Thomas Schlumprecht are organizing a Haskell Fest Mini-Conference that will take place on August 4 and the morning of August 5. Ronald Douglas and Ciprian Foias are organizing a Mini-Conference on "Invariant and Hyperinvariant Subspaces - Old and New" that will take place August 8-9. This Mini-Conference is in honor of Carl Pearcy on the occasion of his 70th birthday. On August 8 there will be a banquet in Carl's honor. 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 Mary Chapman (mary 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 Haskell Fest Mini-Conference, please contact Alvaro Arias (aarias at math.du.edu), Edward Odell (odell at mail.ma.utexas.edu), or Thomas Schlumprecht (schlump at math.tamu.edu). For information about the Mini-Conference on Invariant Subspaces, please contact Ronald Douglas (rdouglas at math.tamu.edu). _______________________________________________ Banach mailing list Banach at math.okstate.edu http://mail.math.okstate.edu:8080/mailman/listinfo/banach

From alspach at www.math.okstate.edu Tue Apr 12 11:36:10 2005 Return-Path: <alspach at www.math.okstate.edu> Received: from www.math.okstate.edu (www.math.okstate.edu [127.0.0.1]) by www.math.okstate.edu (8.12.11/8.12.11) with ESMTP id j3CGaAGP004970; Tue, 12 Apr 2005 11:36:10 -0500 Received: (from alspach at localhost) by www.math.okstate.edu (8.12.11/8.12.11/Submit) id j3CGaAMr004968; Tue, 12 Apr 2005 11:36:10 -0500 Date: Tue, 12 Apr 2005 11:36:10 -0500 From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200504121636.j3CGaAMr004968 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu Subject: Abstract of a paper by Joan E. Hart and Kenneth Kunen Status: R

This is an announcement for the paper "Inverse limits and function algebras" by Joan E. Hart and Kenneth Kunen. Abstract: Assuming Jensen's principle diamond, there is a compact Hausdorff space X which is hereditarily Lindelof, hereditarily separable, and connected, such that no closed subspace of X is both perfect and totally disconnected. The Proper Forcing Axiom implies that there is no such space. The diamond example also fails to satisfy the CSWP (the complex version of the Stone-Weierstrass Theorem). This space cannot contain the two earlier examples of failure of the CSWP, which were totally disconnected -- specifically, the Cantor set (W. Rudin) and beta N (Hoffman and Singer). Archive classification: General Topology; Functional Analysis Mathematics Subject Classification: 54D05; 46J10 Remarks: 16 pages The source file(s), invlim.tex: 45668 bytes, is(are) stored in gzipped form as 0504228.gz with size 15kb. The corresponding postcript file has gzipped size 80kb. Submitted from: kunen at math.wisc.edu The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.GN/0504214 or http://arXiv.org/abs/math.GN/0504214 or by email in unzipped form by transmitting an empty message with subject line uget 0504214 or in gzipped form by using subject line get 0504214 to: math at arXiv.org.

From banach-bounces at math.okstate.edu Tue Apr 12 13:51:55 2005 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 (8.12.11/8.12.11) with ESMTP id j3CIptpe005901 for <alspach at www.math.okstate.edu>; Tue, 12 Apr 2005 13:51:55 -0500 Received: from mail.math.okstate.edu (localhost.math.okstate.edu [127.0.0.1]) by mail.math.okstate.edu (Postfix) with ESMTP id 2B1084BA47; Tue, 12 Apr 2005 13:51:53 -0500 (CDT) Received: from mail.math.okstate.edu (localhost.math.okstate.edu [127.0.0.1]) by mail.math.okstate.edu (Postfix) with ESMTP id 600BD4B8C4; Tue, 12 Apr 2005 13:51:52 -0500 (CDT) X-Original-To: banach at mail.math.okstate.edu Delivered-To: banach at mail.math.okstate.edu Received: from mail.math.okstate.edu (localhost.math.okstate.edu [127.0.0.1]) by mail.math.okstate.edu (Postfix) with ESMTP id 426E64B8F5 for <banach at mail.math.okstate.edu>; Tue, 12 Apr 2005 13:51:51 -0500 (CDT) Received: from ms417l.math.okstate.edu (ms417l.math.okstate.edu [139.78.112.67]) by mail.math.okstate.edu (Postfix) with ESMTP id D1ABC4B87D for <banach at mail.math.okstate.edu>; Tue, 12 Apr 2005 13:51:50 -0500 (CDT) Received: from ms417l.math.okstate.edu (localhost.localdomain [127.0.0.1]) by ms417l.math.okstate.edu (8.12.11/8.12.10) with ESMTP id j3CIpoK8002278 for <banach at ms417l.math.okstate.edu>; Tue, 12 Apr 2005 13:51:50 -0500 Received: from ms417l.math.okstate.edu (alspach at localhost) by ms417l.math.okstate.edu (8.12.11/8.12.11/Submit) with ESMTP id j3CIpouP002274 for <banach>; Tue, 12 Apr 2005 13:51:50 -0500 Message-Id: <200504121851.j3CIpouP002274 at ms417l.math.okstate.edu> X-Mailer: exmh version 2.5 01/15/2001 with nmh-1.0.4 To: banach at math.okstate.edu Mime-Version: 1.0 Content-Type: text/plain; charset=us-ascii Date: Tue, 12 Apr 2005 13:51:50 -0500 From: Dale Alspach <alspach at math.okstate.edu> X-Virus-Scanned: ClamAV using ClamSMTP Subject: [Banach] Incorrect paper number for Inverse Limits and Function Algebras X-BeenThere: banach at math.okstate.edu X-Mailman-Version: 2.1.5 Precedence: list List-Id: Banach Space Theory News <banach.math.okstate.edu> List-Unsubscribe: <http://mail.math.okstate.edu:8080/mailman/listinfo/banach>, <mailto:banach-request at math.okstate.edu?subject=unsubscribe> List-Archive: <http://mail.math.okstate.edu:8080/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:8080/mailman/listinfo/banach>, <mailto:banach-request at math.okstate.edu?subject=subscribe> Sender: banach-bounces at math.okstate.edu Errors-To: banach-bounces at math.okstate.edu X-Virus-Scanned: ClamAV using ClamSMTP Status: R

The announcement for the paper Inverse Limits and Function Algebras contains incorrect links such as http://front.math.ucdavis.edu/math.GN/0504228 The correct links are http://front.math.ucdavis.edu/math.GN/0504214 http://arXiv.org/abs/math.GN/0504214 Dale Alspach _______________________________________________ Banach mailing list Banach at math.okstate.edu http://mail.math.okstate.edu:8080/mailman/listinfo/banach

From alspach at www.math.okstate.edu Thu Apr 14 10:41:44 2005 Return-Path: <alspach at www.math.okstate.edu> Received: from www.math.okstate.edu (www.math.okstate.edu [127.0.0.1]) by www.math.okstate.edu (8.12.11/8.12.11) with ESMTP id j3EFfhNk026050; Thu, 14 Apr 2005 10:41:43 -0500 Received: (from alspach at localhost) by www.math.okstate.edu (8.12.11/8.12.11/Submit) id j3EFfhxL026048; Thu, 14 Apr 2005 10:41:43 -0500 Date: Thu, 14 Apr 2005 10:41:43 -0500 From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200504141541.j3EFfhxL026048 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 Status: R

This is an announcement for the paper "Operator spaces and Araki-Woods factors" by Marius Junge. Abstract: We show that the operator Hilbert space OH introduced by Pisier embeds into the predual of the hyerfinite III1 factor. The main new tool is a Khintchine type inequality for the generators of the CAR algebra with respect to a quasi-free state. Our approach yields a Khintchine type inequality for the q-gaussian variables for all values q between -1 and 1. These results are closely related to recent results of Pisier and Shlyakhtenko in the free case. Archive classification: Operator Algebras; Functional Analysis Mathematics Subject Classification: 46L53, 47L25 The source file(s), carcomp.tex: 194521 bytes, is(are) stored in gzipped form as 0504255.gz with size 59kb. The corresponding postcript file has gzipped size 255kb. Submitted from: junge at math.uiuc.edu The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.OA/0504255 or http://arXiv.org/abs/math.OA/0504255 or by email in unzipped form by transmitting an empty message with subject line uget 0504255 or in gzipped form by using subject line get 0504255 to: math at arXiv.org.

From alspach at www.math.okstate.edu Fri Apr 15 15:56:48 2005 Return-Path: <alspach at www.math.okstate.edu> Received: from www.math.okstate.edu (www.math.okstate.edu [127.0.0.1]) by www.math.okstate.edu (8.12.11/8.12.11) with ESMTP id j3FKumVj006135; Fri, 15 Apr 2005 15:56:48 -0500 Received: (from alspach at localhost) by www.math.okstate.edu (8.12.11/8.12.11/Submit) id j3FKumpk006133; Fri, 15 Apr 2005 15:56:48 -0500 Date: Fri, 15 Apr 2005 15:56:48 -0500 From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200504152056.j3FKumpk006133 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu Subject: Abstract of a paper by Florence Lancien, Beata Randrianantoanina, and Eric Ricard Status: R

This is an announcement for the paper "On contractive projections in Hardy spaces" by Florence Lancien, Beata Randrianantoanina, and Eric Ricard. Abstract: We prove a conjecture of Wojtaszczyk that for $1\leq p<\infty$, $p\neq 2$, $H_p(\mathbbT)$ does not admit any norm one projections with dimension of the range finite and bigger than 1. This implies in particular that for $1\leq p<\infty$, $p\ne 2$, $H_p$ does not admit a Schauder basis with constant one. Archive classification: Functional Analysis; Complex Variables Remarks: 9 pages, to appear in Studia Mathematica The source file(s), hardy9.tex: 30622 bytes, is(are) stored in gzipped form as 0504294.gz with size 11kb. The corresponding postcript file has gzipped size 57kb. Submitted from: randrib at muohio.edu The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0504294 or http://arXiv.org/abs/math.FA/0504294 or by email in unzipped form by transmitting an empty message with subject line uget 0504294 or in gzipped form by using subject line get 0504294 to: math at arXiv.org.

From banach-bounces at math.okstate.edu Wed Apr 20 08:07:21 2005 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 (8.12.11/8.12.11) with ESMTP id j3KD7Ljp002819 for <alspach at www.math.okstate.edu>; Wed, 20 Apr 2005 08:07:21 -0500 Received: from mail.math.okstate.edu (localhost.math.okstate.edu [127.0.0.1]) by mail.math.okstate.edu (Postfix) with ESMTP id C3D594BA88; Wed, 20 Apr 2005 08:07:12 -0500 (CDT) Received: from mail.math.okstate.edu (localhost.math.okstate.edu [127.0.0.1]) by mail.math.okstate.edu (Postfix) with ESMTP id 276624BA78; Wed, 20 Apr 2005 08:07:12 -0500 (CDT) X-Original-To: banach at math.okstate.edu Delivered-To: banach at math.okstate.edu Received: from mail.math.okstate.edu (localhost.math.okstate.edu [127.0.0.1]) by mail.math.okstate.edu (Postfix) with ESMTP id 24FD64B8D8 for <banach at math.okstate.edu>; Tue, 19 Apr 2005 23:25:50 -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 D5F944B8A8 for <banach at math.okstate.edu>; Tue, 19 Apr 2005 23:25:49 -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 j3K4PifA000339; Wed, 20 Apr 2005 00:25:44 -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 29846-05; Wed, 20 Apr 2005 00:25:43 -0400 (EDT) Received: from webmail.math.kent.edu (camelot.math.kent.edu [131.123.47.16]) by mscan1.math.kent.edu (8.12.10/8.12.10) with ESMTP id j3K4PhVn000333; Wed, 20 Apr 2005 00:25:43 -0400 Received: from 65.186.97.145 (SquirrelMail authenticated user zvavitch); by webmail.math.kent.edu with HTTP; Wed, 20 Apr 2005 00:25:43 -0400 (EDT) Message-ID: <38788.65.186.97.145.1113971143.squirrel at webmail.math.kent.edu> Date: Wed, 20 Apr 2005 00:25:43 -0400 (EDT) From: zvavitch at math.kent.edu To: banach at math.okstate.edu User-Agent: SquirrelMail/1.4.3a-9.EL3 X-Mailer: SquirrelMail/1.4.3a-9.EL3 MIME-Version: 1.0 Content-Type: text/plain;charset=iso-8859-1 Content-Transfer-Encoding: 8bit X-Priority: 3 (Normal) Importance: Normal X-Virus-Scanned: by amavisd-new at math.kent.edu X-Virus-Scanned: ClamAV using ClamSMTP X-Mailman-Approved-At: Wed, 20 Apr 2005 08:07:10 -0500 Cc: Subject: [Banach] Vladimir Gurariy X-BeenThere: banach at math.okstate.edu X-Mailman-Version: 2.1.5 Precedence: list List-Id: Banach Space Theory News <banach.math.okstate.edu> List-Unsubscribe: <http://mail.math.okstate.edu:8080/mailman/listinfo/banach>, <mailto:banach-request at math.okstate.edu?subject=unsubscribe> List-Archive: <http://mail.math.okstate.edu:8080/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:8080/mailman/listinfo/banach>, <mailto:banach-request at math.okstate.edu?subject=subscribe> Sender: banach-bounces at math.okstate.edu Errors-To: banach-bounces at math.okstate.edu X-Virus-Scanned: ClamAV using ClamSMTP Status: R

It is with great sadness that the Department of Mathematical Sciences of Kent State University announces the passing of Dr. Vladimir Gurariy on Sunday, April 17, 2005. For many years, Vladimir was a colleague and great friend to all. We remember his brilliance in so many areas, his kindness and generosity, his sense of fun, and his humanity. _______________________________________________ Banach mailing list Banach at math.okstate.edu http://mail.math.okstate.edu:8080/mailman/listinfo/banach

From alspach at www.math.okstate.edu Mon Apr 25 11:49:51 2005 Return-Path: <alspach at www.math.okstate.edu> Received: from www.math.okstate.edu (www.math.okstate.edu [127.0.0.1]) by www.math.okstate.edu (8.12.11/8.12.11) with ESMTP id j3PGnpQ4029179; Mon, 25 Apr 2005 11:49:51 -0500 Received: (from alspach at localhost) by www.math.okstate.edu (8.12.11/8.12.11/Submit) id j3PGnpe7029177; Mon, 25 Apr 2005 11:49:51 -0500 Date: Mon, 25 Apr 2005 11:49:51 -0500 From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200504251649.j3PGnpe7029177 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 and Mark Veraar Status: R

This is an announcement for the paper "On the action of Lipschitz functions on vector-valued random sums" by Jan van Neerven and Mark Veraar. Abstract: Let $X$ be a Banach space and let $(\xi_j)_{j\ge 1}$ be an i.i.d. sequence of symmetric random variables with finite moments of all orders. We prove that the following assertions are equivalent: (1). There exists a constant $K$ such that $$ \Bigl(\E\Big\|\sum_{j=1}^n \xi_j f(x_j)\Big\|^2\Bigr)^{\frac12} \leq K \n f\n_{\rm Lip} \Bigl(\E\Big\|\sum_{j=1}^n \xi_j x_j\Big\|^2\Bigr)^{\frac12} $$ for all Lipschitz functions $f:X\to X$ satisfying $f(0)=0$ and all finite sequences $x_1,\dots,x_n$ in $X$. (2). $X$ is isomorphic to a Hilbert space. Archive classification: Functional Analysis; Probability Mathematics Subject Classification: 46C15, 46B09, 47B10 Remarks: 8 pages, to appear in Archiv der Mathematik (Basel) The source file(s), lipschitzA.tex: 27762 bytes, is(are) stored in gzipped form as 0504452.gz with size 9kb. The corresponding postcript file has gzipped size 56kb. Submitted from: m.c.veraar at math.tudelft.nl The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0504452 or http://arXiv.org/abs/math.FA/0504452 or by email in unzipped form by transmitting an empty message with subject line uget 0504452 or in gzipped form by using subject line get 0504452 to: math at arXiv.org.

From alspach at www.math.okstate.edu Wed May 11 08:07:46 2005 Return-Path: <alspach at www.math.okstate.edu> Received: from www.math.okstate.edu (www.math.okstate.edu [127.0.0.1]) by www.math.okstate.edu (8.12.11/8.12.11) with ESMTP id j4BD7k4l003603; Wed, 11 May 2005 08:07:46 -0500 Received: (from alspach at localhost) by www.math.okstate.edu (8.12.11/8.12.11/Submit) id j4BD7k3g003601; Wed, 11 May 2005 08:07:46 -0500 Date: Wed, 11 May 2005 08:07:46 -0500 From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200505111307.j4BD7k3g003601 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu Subject: Abstract of a paper by Marianne Morillon Status: R

This is an announcement for the paper "A new proof of James' sup theorem" by Marianne Morillon. Abstract: We provide a new proof of James' sup theorem for (non necessarily separable) Banach spaces. One of the ingredients is the following generalization of a theorem of Hagler and Johnson (1977) : "If a normed space $E$ does not contain any asymptotically isometric copy of $\ell^1(\IN)$, then every bounded sequence of $E'$ has a normalized block sequence pointwise converging to $0$". Archive classification: Functional Analysis Mathematics Subject Classification: 46B ; 03E25 Report Number: ERMIT-MM-07jan2005 The source file(s), envoi.bbl: 2807 bytes, envoi.tex: 35905 bytes, icone-ermit.eps: 24310 bytes, is(are) stored in gzipped form as 0505176.tar.gz with size 19kb. The corresponding postcript file has gzipped size 69kb. Submitted from: Marianne.Morillon at univ-reunion.fr The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0505176 or http://arXiv.org/abs/math.FA/0505176 or by email in unzipped form by transmitting an empty message with subject line uget 0505176 or in gzipped form by using subject line get 0505176 to: math at arXiv.org.

From alspach at www.math.okstate.edu Wed May 11 08:18:35 2005 Return-Path: <alspach at www.math.okstate.edu> Received: from www.math.okstate.edu (www.math.okstate.edu [127.0.0.1]) by www.math.okstate.edu (8.12.11/8.12.11) with ESMTP id j4BDIZX8003767; Wed, 11 May 2005 08:18:35 -0500 Received: (from alspach at localhost) by www.math.okstate.edu (8.12.11/8.12.11/Submit) id j4BDIZgb003765; Wed, 11 May 2005 08:18:35 -0500 Date: Wed, 11 May 2005 08:18:35 -0500 From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200505111318.j4BDIZgb003765 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 "Extension of functions with small oscillation" by Denny H. Leung and Wee-Kee Tang. Abstract: A classical theorem of Kuratowski says that every Baire one function on a G_\delta subspace of a Polish (= separable completely metrizable) space X can be extended to a Baire one function on X. Kechris and Louveau introduced a finer gradation of Baire one functions into small Baire classes. A Baire one function f is assigned into a class in this heirarchy depending on its oscillation index \beta(f). We prove a refinement of Kuratowski's theorem: if Y is a subspace of a metric space X and f is a real-valued function on Y such that \beta_{Y}(f)<\omega^{\alpha}, \alpha < \omega_1, then f has an extension F onto X so that \beta_X(F)is not more than \omega^{\alpha}. We also show that if f is a continuous real valued function on Y, then f has an extension F onto X so that \beta_{X}(F)is not more than 3. An example is constructed to show that this result is optimal. Archive classification: Classical Analysis and ODEs; Functional Analysis Mathematics Subject Classification: 26A21; 03E15, 54C30 The source file(s), DLeungWTangBaire1Ext.tex: 47118 bytes, is(are) stored in gzipped form as 0505168.gz with size 13kb. The corresponding postcript file has gzipped size 71kb. 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.CA/0505168 or http://arXiv.org/abs/math.CA/0505168 or by email in unzipped form by transmitting an empty message with subject line uget 0505168 or in gzipped form by using subject line get 0505168 to: math at arXiv.org.

From alspach at www.math.okstate.edu Tue May 17 06:41:30 2005 Return-Path: <alspach at www.math.okstate.edu> Received: from www.math.okstate.edu (www.math.okstate.edu [127.0.0.1]) by www.math.okstate.edu (8.12.11/8.12.11) with ESMTP id j4HBfUe5007315; Tue, 17 May 2005 06:41:30 -0500 Received: (from alspach at localhost) by www.math.okstate.edu (8.12.11/8.12.11/Submit) id j4HBfUIH007313; Tue, 17 May 2005 06:41:30 -0500 Date: Tue, 17 May 2005 06:41:30 -0500 From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200505171141.j4HBfUIH007313 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.Yaskina Status: R

This is an announcement for the paper "Non-intersection bodies all of whose central sections are intersection bodies" by M.Yaskina. Abstract: We construct symmetric convex bodies that are not intersection bodies, but all of their central hyperplane sections are intersection bodies. This result extends the studies by Weil in the case of zonoids and by Neyman in the case of subspaces of $L_p$. Archive classification: Functional Analysis; Metric Geometry Mathematics Subject Classification: 52A20, 52A21, 46B20 Remarks: 10 pages The source file(s), inters8.tex: 33376 bytes, is(are) stored in gzipped form as 0505277.gz with size 10kb. The corresponding postcript file has gzipped size 54kb. Submitted from: yaskinv at math.missouri.edu The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0505277 or http://arXiv.org/abs/math.FA/0505277 or by email in unzipped form by transmitting an empty message with subject line uget 0505277 or in gzipped form by using subject line get 0505277 to: math at arXiv.org.

From alspach at www.math.okstate.edu Tue May 17 06:42:45 2005 Return-Path: <alspach at www.math.okstate.edu> Received: from www.math.okstate.edu (www.math.okstate.edu [127.0.0.1]) by www.math.okstate.edu (8.12.11/8.12.11) with ESMTP id j4HBgiSB007373; Tue, 17 May 2005 06:42:44 -0500 Received: (from alspach at localhost) by www.math.okstate.edu (8.12.11/8.12.11/Submit) id j4HBgiAL007371; Tue, 17 May 2005 06:42:44 -0500 Date: Tue, 17 May 2005 06:42:44 -0500 From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200505171142.j4HBgiAL007371 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu Subject: Abstract of a paper by Felix Cabello Sanchez, Jesus M. F. Castillo and Pier Luigi Papini Status: R

This is an announcement for the paper "Seven views on approximate convexity and the geometry of K-spaces" by Felix Cabello Sanchez, Jesus M. F. Castillo and Pier Luigi Papini. Abstract: As in Hokusai's series of paintings "Thirty six views of mount Fuji" in which mount Fuji's is sometimes scarcely visible, the central topic of this paper is the geometry of $K$-spaces although in some of the seven views presented $K$-spaces are not easily visible. We study the interplay between the behaviour of approximately convex (and approximately affine) functions on the unit ball of a Banach space and the geometry of Banach K-spaces. Archive classification: Functional Analysis Mathematics Subject Classification: 46B20; 52A05; 42A65; 26B25 Remarks: 2 figures The source file(s), ccp.tex: 61322 bytes, cubo.eps: 19389 bytes, kominek.eps: 82795 bytes, is(are) stored in gzipped form as 0505291.tar.gz with size 38kb. The corresponding postcript file has gzipped size 119kb. Submitted from: castillo at unex.es The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0505291 or http://arXiv.org/abs/math.FA/0505291 or by email in unzipped form by transmitting an empty message with subject line uget 0505291 or in gzipped form by using subject line get 0505291 to: math at arXiv.org.

From alspach at www.math.okstate.edu Tue May 17 06:46:31 2005 Return-Path: <alspach at www.math.okstate.edu> Received: from www.math.okstate.edu (www.math.okstate.edu [127.0.0.1]) by www.math.okstate.edu (8.12.11/8.12.11) with ESMTP id j4HBkV6S007465; Tue, 17 May 2005 06:46:31 -0500 Received: (from alspach at localhost) by www.math.okstate.edu (8.12.11/8.12.11/Submit) id j4HBkVsN007463; Tue, 17 May 2005 06:46:31 -0500 Date: Tue, 17 May 2005 06:46:31 -0500 From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200505171146.j4HBkVsN007463 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu Subject: Abstract of a paper by Eric Ricard and Quanhua Xu Status: R

This is an announcement for the paper "Khintchine type inequalities for reduced free products and applications" by Eric Ricard and Quanhua Xu. Abstract: We prove Khintchine type inequalities for words of a fixed length in a reduced free product of $C^*$-algebras (or von Neumann algebras). These inequalities imply that the natural projection from a reduced free product onto the subspace generated by the words of a fixed length $d$ is completely bounded with norm depending linearly on $d$. We then apply these results to various approximation properties on reduced free products. As a first application, we give a quick proof of Dykema's theorem on the stability of exactness under the reduced free product for $C^*$-algebras. We next study the stability of the completely contractive approximation property (CCAP) under reduced free product. Our first result in this direction is that a reduced free product of finite dimensional $C^*$-algebras has the CCAP. The second one asserts that a von Neumann reduced free product of injective von Neumann algebras has the weak-$*$ CCAP. In the case of group $C^*$-algebras, we show that a free product of weakly amenable groups with constant 1 is weakly amenable. Archive classification: Operator Algebras; Functional Analysis Mathematics Subject Classification: Primary 46L09, 46L54; Secondary 47L07, 47L25 The source file(s), kpl.tex: 94450 bytes, is(are) stored in gzipped form as 0505302.gz with size 30kb. The corresponding postcript file has gzipped size 136kb. 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.OA/0505302 or http://arXiv.org/abs/math.OA/0505302 or by email in unzipped form by transmitting an empty message with subject line uget 0505302 or in gzipped form by using subject line get 0505302 to: math at arXiv.org.

From alspach at www.math.okstate.edu Tue May 17 06:49:00 2005 Return-Path: <alspach at www.math.okstate.edu> Received: from www.math.okstate.edu (www.math.okstate.edu [127.0.0.1]) by www.math.okstate.edu (8.12.11/8.12.11) with ESMTP id j4HBn0J7007524; Tue, 17 May 2005 06:49:00 -0500 Received: (from alspach at localhost) by www.math.okstate.edu (8.12.11/8.12.11/Submit) id j4HBmxI5007522; Tue, 17 May 2005 06:48:59 -0500 Date: Tue, 17 May 2005 06:48:59 -0500 From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200505171148.j4HBmxI5007522 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu Subject: Abstract of a paper by Teresa Martinez, Jose L. Torrea and Quanhua Xu Status: R

This is an announcement for the paper "Vector-valued Littlewood-Paley-Stein theory for semigroups" by Teresa Martinez, Jose L. Torrea and Quanhua Xu. Abstract: We develop a generalized Littlewood-Paley theory for semigroups acting on $L^p$-spaces of functions with values in uniformly convex or smooth Banach spaces. We characterize, in the vector-valued setting, the validity of the one-sided inequalities concerning the generalized Littlewood-Paley-Stein $g$-function associated with a subordinated Poisson symmetric diffusion semigroup by the martingale cotype and type properties of the underlying Banach space. We show that in the case of the usual Poisson semigroup and the Poisson semigroup subordinated to the Ornstein-Uhlenbeck semigroup on ${\mathbb R}^n$, this general theory becomes more satisfactory (and easier to be handled) in virtue of the theory of vector-valued Calder\'on-Zygmund singular integral operators. Archive classification: Functional Analysis Mathematics Subject Classification: 46B20; 42B25, 42A61 Remarks: To appear in Adv. Math The source file(s), lpsII.tex: 111765 bytes, is(are) stored in gzipped form as 0505303.gz with size 31kb. The corresponding postcript file has gzipped size 144kb. 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/0505303 or http://arXiv.org/abs/math.FA/0505303 or by email in unzipped form by transmitting an empty message with subject line uget 0505303 or in gzipped form by using subject line get 0505303 to: math at arXiv.org.

From alspach at www.math.okstate.edu Tue May 17 06:50:45 2005 Return-Path: <alspach at www.math.okstate.edu> Received: from www.math.okstate.edu (www.math.okstate.edu [127.0.0.1]) by www.math.okstate.edu (8.12.11/8.12.11) with ESMTP id j4HBojJq007624; Tue, 17 May 2005 06:50:45 -0500 Received: (from alspach at localhost) by www.math.okstate.edu (8.12.11/8.12.11/Submit) id j4HBojdv007622; Tue, 17 May 2005 06:50:45 -0500 Date: Tue, 17 May 2005 06:50:45 -0500 From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200505171150.j4HBojdv007622 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu Subject: Abstract of a paper by Quanhua Xu Status: R

This is an announcement for the paper "A description of $\big(C_p[L_p(M)],\; R_p[L_p(M)]\big)_\theta$" by Quanhua Xu. Abstract: We give a simple explicit description of the norm in the complex interpolation space $(C_p[L_p(M)],\; R_p[L_p(M)])_\theta$ for any von Neumann algebra $M$ and any $1\le p\le\infty$. Archive classification: Functional Analysis; Operator Algebras Mathematics Subject Classification: Primary 46M35 and 46L51; Secondary 46L07 Remarks: To appear in Proc. Edinburgh Math. Soc The source file(s), interpCR.tex: 33942 bytes, is(are) stored in gzipped form as 0505305.gz with size 11kb. The corresponding postcript file has gzipped size 61kb. 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/0505305 or http://arXiv.org/abs/math.FA/0505305 or by email in unzipped form by transmitting an empty message with subject line uget 0505305 or in gzipped form by using subject line get 0505305 to: math at arXiv.org.

From alspach at www.math.okstate.edu Tue May 17 06:52:14 2005 Return-Path: <alspach at www.math.okstate.edu> Received: from www.math.okstate.edu (www.math.okstate.edu [127.0.0.1]) by www.math.okstate.edu (8.12.11/8.12.11) with ESMTP id j4HBqDZf007682; Tue, 17 May 2005 06:52:13 -0500 Received: (from alspach at localhost) by www.math.okstate.edu (8.12.11/8.12.11/Submit) id j4HBqDwR007680; Tue, 17 May 2005 06:52:13 -0500 Date: Tue, 17 May 2005 06:52:13 -0500 From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200505171152.j4HBqDwR007680 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu Subject: Abstract of a paper by Quanhua Xu Status: R

This is an announcement for the paper "Operator space Grothendieck inequalities for noncommutative $L_p$-spaces" by Quanhua Xu. Abstract: We prove the operator space Grothendieck inequality for bilinear forms on subspaces of noncommutative $L_p$-spaces with $2<p<\infty$. One of our results states that given a map $u: E\to F^*$, where $E, F\subset L_p(M)$ ($2<p<\infty$, $M$ being a von Neumann algebra), $u$ is completely bounded iff $u$ factors through a direct sum of a $p$-column space and a $p$-row space. We also obtain several operator space versions of the classical little Grothendieck inequality for maps defined on a subspace of a noncommutative $L_p$-space ($2<p<\infty$) with values in a $q$-column space for every $q\in [p', p]$ ($p'$ being the index conjugate to $p$). These results are the $L_p$-space analogues of the recent works on the operator space Grothendieck theorems by Pisier and Shlyakhtenko. The key ingredient of our arguments is some Khintchine type inequalities for Shlyakhtenko's generalized circular systems. One of our main tools is a Haagerup type tensor norm, which turns out particularly fruitful when applied to subspaces of noncommutative $L_p$-spaces ($2<p<\infty$). In particular, we show that the norm dual to this tensor norm, when restricted to subspaces of noncommutative $L_p$-spaces, is equal to the factorization norm through a $p$-row space. Archive classification: Functional Analysis; Operator Algebras Mathematics Subject Classification: Primary 46L07; Secondary 46L50 Remarks: To appear in Duke Math. J The source file(s), gro.tex: 127607 bytes, is(are) stored in gzipped form as 0505306.gz with size 38kb. The corresponding postcript file has gzipped size 172kb. 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/0505306 or http://arXiv.org/abs/math.FA/0505306 or by email in unzipped form by transmitting an empty message with subject line uget 0505306 or in gzipped form by using subject line get 0505306 to: math at arXiv.org.

From alspach at www.math.okstate.edu Tue May 17 06:53:44 2005 Return-Path: <alspach at www.math.okstate.edu> Received: from www.math.okstate.edu (www.math.okstate.edu [127.0.0.1]) by www.math.okstate.edu (8.12.11/8.12.11) with ESMTP id j4HBri9k007740; Tue, 17 May 2005 06:53:44 -0500 Received: (from alspach at localhost) by www.math.okstate.edu (8.12.11/8.12.11/Submit) id j4HBrh9X007738; Tue, 17 May 2005 06:53:43 -0500 Date: Tue, 17 May 2005 06:53:43 -0500 From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200505171153.j4HBrh9X007738 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu Subject: Abstract of a paper by Quanhua Xu Status: R

This is an announcement for the paper "Embedding of $C_q$ and $R_q$ into noncommutative $L_p$-spaces, $1\le p<q\le 2$" by Quanhua Xu. Abstract: We prove that a quotient of subspace of $C_p\oplus_pR_p$ ($1\le p<2$) embeds completely isomorphically into a noncommutative $L_p$-space, where $C_p$ and $R_p$ are respectively the $p$-column and $p$-row Hilbertian operator spaces. We also represent $C_q$ and $R_q$ ($p<q\le2$) as quotients of subspaces of $C_p\oplus_pR_p$. Consequently, $C_q$ and $R_q$ embed completely isomorphically into a noncommutative $L_p(M)$. We further show that the underlying von Neumann algebra $M$ cannot be semifinite. Archive classification: Functional Analysis; Operator Algebras Mathematics Subject Classification: Primary 46L07; Secondary 47L25 The source file(s), embed.tex: 63829 bytes, is(are) stored in gzipped form as 0505307.gz with size 19kb. The corresponding postcript file has gzipped size 96kb. 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/0505307 or http://arXiv.org/abs/math.FA/0505307 or by email in unzipped form by transmitting an empty message with subject line uget 0505307 or in gzipped form by using subject line get 0505307 to: math at arXiv.org.

From alspach at www.math.okstate.edu Tue May 17 06:58:12 2005 Return-Path: <alspach at www.math.okstate.edu> Received: from www.math.okstate.edu (www.math.okstate.edu [127.0.0.1]) by www.math.okstate.edu (8.12.11/8.12.11) with ESMTP id j4HBwBr0007867; Tue, 17 May 2005 06:58:11 -0500 Received: (from alspach at localhost) by www.math.okstate.edu (8.12.11/8.12.11/Submit) id j4HBwBIF007865; Tue, 17 May 2005 06:58:11 -0500 Date: Tue, 17 May 2005 06:58:11 -0500 From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200505171158.j4HBwBIF007865 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 Quanhua Xu Status: R

This is an announcement for the paper "On the best constants in some non-commutative martingale inequalities" by Marius Junge and Quanhua Xu. Abstract: We determine the optimal orders for the best constants in the non-commutative Burkholder-Gundy, Doob and Stein inequalities obtained recently in the non-commutative martingale theory. Archive classification: Operator Algebras, Functional Analysis; Probability Mathematics Subject Classification: 46L53, 46L51 Citation: Bull. London Math. Soc. 37:243--253, 2005 The source file(s), constant.revised.tex: 33956 bytes, is(are) stored in gzipped form as 0505309.gz with size 11kb. The corresponding postcript file has gzipped size 48kb. 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.OA/0505309 or http://arXiv.org/abs/math.OA/0505309 or by email in unzipped form by transmitting an empty message with subject line uget 0505309 or in gzipped form by using subject line get 0505309 to: math at arXiv.org.

From alspach at www.math.okstate.edu Fri May 20 09:35:43 2005 Return-Path: <alspach at www.math.okstate.edu> Received: from www.math.okstate.edu (www.math.okstate.edu [127.0.0.1]) by www.math.okstate.edu (8.12.11/8.12.11) with ESMTP id j4KEZhD5006708; Fri, 20 May 2005 09:35:43 -0500 Received: (from alspach at localhost) by www.math.okstate.edu (8.12.11/8.12.11/Submit) id j4KEZhJl006706; Fri, 20 May 2005 09:35:43 -0500 Date: Fri, 20 May 2005 09:35:43 -0500 From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200505201435.j4KEZhJl006706 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu Subject: Abstract of a paper by D. Rokhlin and W. Schachermayer Status: R

This is an announcement for the paper "A note on lower bounds of martingale measure densities" by D. Rokhlin and W. Schachermayer. Abstract: For a given element $f\in L^1$ and a convex cone $C\subset L^\infty$, $C\cap L^\infty_+=\{0\}$ we give necessary and sufficient conditions for the existence of an element $g\ge f$ lying in the polar of $C$. This polar is taken in $(L^\infty)^*$ and in $L^1$. In the context of mathematical finance the main result concerns the existence of martingale measures, whose densities are bounded from below by prescribed random variable. Archive classification: Functional Analysis Mathematics Subject Classification: 46E30 Remarks: 9 pages The source file(s), SCH_P4.TEX: 22410 bytes, is(are) stored in gzipped form as 0505411.gz with size 8kb. The corresponding postcript file has gzipped size 46kb. Submitted from: rokhlin at math.rsu.ru The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0505411 or http://arXiv.org/abs/math.FA/0505411 or by email in unzipped form by transmitting an empty message with subject line uget 0505411 or in gzipped form by using subject line get 0505411 to: math at arXiv.org.

From alspach at www.math.okstate.edu Sun Jun 5 11:38:12 2005 Return-Path: <alspach at www.math.okstate.edu> Received: from www.math.okstate.edu (www.math.okstate.edu [127.0.0.1]) by www.math.okstate.edu (8.12.11/8.12.11) with ESMTP id j55GcCP8020143; Sun, 5 Jun 2005 11:38:12 -0500 Received: (from alspach at localhost) by www.math.okstate.edu (8.12.11/8.12.11/Submit) id j55GcCNU020141; Sun, 5 Jun 2005 11:38:12 -0500 Date: Sun, 5 Jun 2005 11:38:12 -0500 From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200506051638.j55GcCNU020141 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu Subject: Abstract of a paper by Rubin Boris Status: R

This is an announcement for the paper "The generalized Busemann-Petty problem with weights" by Rubin Boris. Abstract: The generalized Busemann-Petty problem asks whether origin-symmetric convex bodies with lower-dimensional smaller sections necessarily have smaller volume. We study the weighted version of this problem corresponding to the physical situation when bodies are endowed with mass distribution and the relevant sections are measured with attenuation. Archive classification: Functional Analysis Mathematics Subject Classification: 52A38; 44A12 Remarks: 12 pages The source file(s), sol1.tex: 32080 bytes, is(are) stored in gzipped form as 0505666.gz with size 11kb. The corresponding postcript file has gzipped size 57kb. 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/0505666 or http://arXiv.org/abs/math.FA/0505666 or by email in unzipped form by transmitting an empty message with subject line uget 0505666 or in gzipped form by using subject line get 0505666 to: math at arXiv.org.

From alspach at www.math.okstate.edu Sun Jun 5 11:39:52 2005 Return-Path: <alspach at www.math.okstate.edu> Received: from www.math.okstate.edu (www.math.okstate.edu [127.0.0.1]) by www.math.okstate.edu (8.12.11/8.12.11) with ESMTP id j55Gdqbc020201; Sun, 5 Jun 2005 11:39:52 -0500 Received: (from alspach at localhost) by www.math.okstate.edu (8.12.11/8.12.11/Submit) id j55GdqZR020199; Sun, 5 Jun 2005 11:39:52 -0500 Date: Sun, 5 Jun 2005 11:39:52 -0500 From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200506051639.j55GdqZR020199 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu Subject: Abstract of a paper by Koenraad M.R. Audenaert Status: R

This is an announcement for the paper "A norm compression inequality for block partitioned positive semidefinite matrices" by Koenraad M.R. Audenaert. Abstract: Let $A$ be a positive semidefinite matrix, block partitioned as $$ A=\twomat{B}{C}{C^*}{D}, $$ where $B$ and $D$ are square blocks. We prove the following inequalities for the Schatten $q$-norm $||.||_q$, which are sharp when the blocks are of size at least $2\times2$: $$ ||A||_q^q \le (2^q-2) ||C||_q^q + ||B||_q^q+||D||_q^q, \quad 1\le q\le 2, $$ and $$ ||A||_q^q \ge (2^q-2) ||C||_q^q + ||B||_q^q+||D||_q^q, \quad 2\le q. $$ These bounds can be extended to symmetric partitionings into larger numbers of blocks, at the expense of no longer being sharp: $$ ||A||_q^q \le \sum_{i} ||A_{ii}||_q^q + (2^q-2) \sum_{i<j} ||A_{ij}||_q^q, \quad 1\le q\le 2, $$ and $$ ||A||_q^q \ge \sum_{i} ||A_{ii}||_q^q + (2^q-2) \sum_{i<j} ||A_{ij}||_q^q, \quad 2\le q. $$ Archive classification: Functional Analysis Mathematics Subject Classification: 15A60 Remarks: 24 pages The source file(s), normcompr_v3.tex: 50189 bytes, is(are) stored in gzipped form as 0505680.gz with size 16kb. The corresponding postcript file has gzipped size 79kb. Submitted from: kauden at imperial.ac.uk The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0505680 or http://arXiv.org/abs/math.FA/0505680 or by email in unzipped form by transmitting an empty message with subject line uget 0505680 or in gzipped form by using subject line get 0505680 to: math at arXiv.org.

From alspach at math.okstate.edu Wed Jun 15 10:22:18 2005 Return-Path: <alspach at math.okstate.edu> Received: from mail.math.okstate.edu (_postfix at mail.math.okstate.edu [139.78.112.5]) by www.math.okstate.edu (8.13.3/8.13.3) with ESMTP id j5FFMI7Y018551 for <alspach at www.math.okstate.edu>; Wed, 15 Jun 2005 10:22:18 -0500 (CDT) (envelope-from alspach at math.okstate.edu) Received: from mail.math.okstate.edu (localhost.math.okstate.edu [127.0.0.1]) by mail.math.okstate.edu (Postfix) with ESMTP id 1514C4BA36 for <alspach at www.math.okstate.edu>; Wed, 15 Jun 2005 10:22:18 -0500 (CDT) Received: from ms417l.math.okstate.edu (ms417l.math.okstate.edu [139.78.112.67]) by mail.math.okstate.edu (Postfix) with ESMTP id A137F4B8C4 for <alspach at www.math.okstate.edu>; Wed, 15 Jun 2005 10:22:17 -0500 (CDT) 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 j5FFMAEf018003 for <alspach at www.math.okstate.edu>; Wed, 15 Jun 2005 10:22:10 -0500 Message-Id: <200506151522.j5FFMAEf018003 at ms417l.math.okstate.edu> X-Mailer: exmh version 2.7.2 01/07/2005 with nmh-1.1-RC3 To: alspach at www.math.okstate.edu Subject: [Banach] Abstract of a paper by Piotr W. Nowak (fwd) Mime-Version: 1.0 Content-Type: text/plain; charset=us-ascii Date: Wed, 15 Jun 2005 10:22:10 -0500 From: Dale Alspach <alspach at math.okstate.edu> X-Virus-Scanned: ClamAV using ClamSMTP Status: R

------- Forwarded Message Date: Fri, 10 Jun 2005 09:22:24 -0500 From: Dale Alspach <alspach at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu cc: Subject: [Banach] Abstract of a paper by Piotr W. Nowak This is an announcement for the paper "A metric space not quasi-isometrically embeddable into any uniformly convex Banach space" by Piotr W. Nowak. Abstract: We construct a locally finite graph and a bounded geometry metric space which do not admit a quasi-isometric embedding into any uniformly convex Banach space. Connections with the geometry of $c_0$ and superreflexivity are discussed. Archive classification: Metric Geometry; Functional Analysis Remarks: 6 pages, 2 figures The source file(s), Quasi-isometricnon-embeddabilityintouniformlyconvexBanachspaces.tex: 18532 byt, figuramain.eps: 7608 bytes, figure1.eps: 3766 bytes, is(are) stored in gzipped form as 0506178.tar.gz with size 9kb. The corresponding postcript file has gzipped size 44kb. Submitted from: pnowak at math.vanderbilt.edu The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.MG/0506178 or http://arXiv.org/abs/math.MG/0506178 or by email in unzipped form by transmitting an empty message with subject line uget 0506178 or in gzipped form by using subject line get 0506178 to: math at arXiv.org. _______________________________________________ Banach mailing list Banach at math.okstate.edu http://mail.math.okstate.edu:8080/mailman/listinfo/banach ------- End of Forwarded Message

From alspach at www.math.okstate.edu Wed Jun 15 09:43:25 2005 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 j5FEhPNn018253; Wed, 15 Jun 2005 09:43:25 -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 j5FEhP7P018252; Wed, 15 Jun 2005 09:43:25 -0500 (CDT) (envelope-from alspach) Date: Wed, 15 Jun 2005 09:43:25 -0500 (CDT) From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200506151443.j5FEhP7P018252 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu Subject: Abstract of a paper by Ngai-Ching Wong Status: R

This is an announcement for the paper "The triangle of operators, topologies, bornologies" by Ngai-Ching Wong. Abstract: This paper discusses two common techniques in functional analysis: the topological method and the bornological method. In terms of Pietsch's operator ideals, we establish the equivalence of the notions of operators, topologies and bornologies. The approaches in the study of locally convex spaces of Grothendieck (via Banach space operators), Randtke (via continuous seminorms) and Hogbe-Nlend (via convex bounded sets) are compared. Archive classification: Functional Analysis; Operator Algebras Mathematics Subject Classification: 47L20, 46A03, 46A11, 46A17 Remarks: 33 pages The source file(s), triangle05_ArXiV.tex: 98877 bytes, is(are) stored in gzipped form as 0506183.gz with size 27kb. The corresponding postcript file has gzipped size 124kb. Submitted from: wong at math.nsysu.edu.tw The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0506183 or http://arXiv.org/abs/math.FA/0506183 or by email in unzipped form by transmitting an empty message with subject line uget 0506183 or in gzipped form by using subject line get 0506183 to: math at arXiv.org.

From alspach at www.math.okstate.edu Wed Jun 15 09:44:37 2005 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 j5FEibUh018298; Wed, 15 Jun 2005 09:44:37 -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 j5FEibOB018297; Wed, 15 Jun 2005 09:44:37 -0500 (CDT) (envelope-from alspach) Date: Wed, 15 Jun 2005 09:44:37 -0500 (CDT) From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200506151444.j5FEibOB018297 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 "Reconstruction and subgaussian operators" by Shahar Mendelson, Alain Pajor and Nicole Tomczak-Jaegermann. Abstract: We present a randomized method to approximate any vector $v$ from some set $T \subset \R^n$. The data one is given is the set $T$, and $k$ scalar products $(\inr{X_i,v})_{i=1}^k$, where $(X_i)_{i=1}^k$ are i.i.d. isotropic subgaussian random vectors in $\R^n$, and $k \ll n$. We show that with high probability, any $y \in T$ for which $(\inr{X_i,y})_{i=1}^k$ is close to the data vector $(\inr{X_i,v})_{i=1}^k$ will be a good approximation of $v$, and that the degree of approximation is determined by a natural geometric parameter associated with the set $T$. We also investigate a random method to identify exactly any vector which has a relatively short support using linear subgaussian measurements as above. It turns out that our analysis, when applied to $\{-1,1\}$-valued vectors with i.i.d, symmetric entries, yields new information on the geometry of faces of random $\{-1,1\}$-polytope; we show that a $k$-dimensional random $\{-1,1\}$-polytope with $n$ vertices is $m$-neighborly for very large $m\le {ck/\log (c' n/k)}$. The proofs are based on new estimates on the behavior of the empirical process $\sup_{f \in F} \left|k^{-1}\sum_{i=1}^k f^2(X_i) -\E f^2 \right|$ when $F$ is a subset of the $L_2$ sphere. The estimates are given in terms of the $\gamma_2$ functional with respect to the $\psi_2$ metric on $F$, and hold both in exponential probability and in expectation. Archive classification: Functional Analysis; Probability Mathematics Subject Classification: 46B07, 47B06, 41A45; 94B75, 52B05 Remarks: 31 pages; no figures; submitted The source file(s), MPT_subgaussian.tex: 75209 bytes, is(are) stored in gzipped form as 0506239.gz with size 24kb. The corresponding postcript file has gzipped size 106kb. 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.FA/0506239 or http://arXiv.org/abs/math.FA/0506239 or by email in unzipped form by transmitting an empty message with subject line uget 0506239 or in gzipped form by using subject line get 0506239 to: math at arXiv.org.

From alspach at www.math.okstate.edu Thu Jun 16 13:49:46 2005 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 j5GInktM030249; Thu, 16 Jun 2005 13:49:46 -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 j5GInkqB030248; Thu, 16 Jun 2005 13:49:46 -0500 (CDT) (envelope-from alspach) Date: Thu, 16 Jun 2005 13:49:46 -0500 (CDT) From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200506161849.j5GInkqB030248 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu Subject: Abstract of a paper by Manor Mendel, Assaf Naor Status: R

This is an announcement for the paper "Scaled Enflo type is equivalent to Rademacher type" by Manor Mendel and Assaf Naor. Abstract: We introduce the notion of scaled Enflo type of a metric space, and show that for Banach spaces, scaled Enflo type p is equivalent to Rademacher type p. Archive classification: Functional Analysis; Metric Geometry Mathematics Subject Classification: 46B20; 51F99 Remarks: 5 pages The source file(s), enflo-rademacher.tex: 16927 bytes, is(are) stored in gzipped form as 0506215.gz with size 5kb. The corresponding postcript file has gzipped size 47kb. Submitted from: mendelma at gmail.com The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0506215 or http://arXiv.org/abs/math.FA/0506215 or by email in unzipped form by transmitting an empty message with subject line uget 0506215 or in gzipped form by using subject line get 0506215 to: math at arXiv.org.

From alspach at www.math.okstate.edu Thu Jun 16 13:50:40 2005 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 j5GIoeBN030294; Thu, 16 Jun 2005 13:50:40 -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 j5GIoeDb030293; Thu, 16 Jun 2005 13:50:40 -0500 (CDT) (envelope-from alspach) Date: Thu, 16 Jun 2005 13:50:40 -0500 (CDT) From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200506161850.j5GIoeDb030293 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 Status: R

This is an announcement for the paper "A new method of constructing invariant subspaces" by George Androulakis. Abstract: The method of compatible sequences is introduced in order to produce non-trivial (closed) invariant subspaces of (bounded linear) operators. Also a topological tool is used which is new in the search of invariant subspaces: the extraction of continuous selections of lower semicontinuous set valued functions. The advantage of this method over previously known methods is that if an operator acts on a reflexive Banach space then it has a non-trivial invariant subspace if and only if there exist compatible sequences (their definition refers to a fixed operator). Using compatible sequences a result of Aronszajn-Smith is proved for reflexive Banach spaces. Also it is shown that if $X$ be a separable reflexive Banach space, $T \in {\mathcal L} (X)$, and $A$ is any closed ball of $X$, then there exists $v \in A$ such that either $Tv=0$, or $\overline{\text{Span}}\, \text{Orb}_T (Tv)$ is a non-trivial invariant subspace of $T$, or there exists a continuous function $f:A \to A$ where $A$ is endowed with the weak topology, such that $f(x) \in \overline{\text{Span}}\, \{ T^k x : k \in {\mathbb N} \} $ for all $x \in A$ and $f(v)=v$. Archive classification: Functional Analysis Mathematics Subject Classification: 47A15 The source file(s), ISP.tex: 60926 bytes, is(are) stored in gzipped form as 0506284.gz with size 17kb. The corresponding postcript file has gzipped size 78kb. 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/0506284 or http://arXiv.org/abs/math.FA/0506284 or by email in unzipped form by transmitting an empty message with subject line uget 0506284 or in gzipped form by using subject line get 0506284 to: math at arXiv.org.

From alspach at www.math.okstate.edu Tue Jun 21 07:48:05 2005 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 j5LCm5DI083994; Tue, 21 Jun 2005 07:48:05 -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 j5LCm5Yh083993; Tue, 21 Jun 2005 07:48:05 -0500 (CDT) (envelope-from alspach) Date: Tue, 21 Jun 2005 07:48:05 -0500 (CDT) From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200506211248.j5LCm5Yh083993 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu Subject: Abstract of a paper by U. Bader, A. Furman, T. Gelander, and N. Monod Status: R

This is an announcement for the paper "Property (T) and rigidity for actions on Banach spaces" by U. Bader, A. Furman, T. Gelander, and N. Monod. Abstract: We study property (T) and the fixed point property for actions on $L^p$ and other Banach spaces. We show that property (T) holds when $L^2$ is replaced by $L^p$ (and even a subspace/quotient of $L^p$), and that in fact it is independent of $1\leq p<\infty$. We show that the fixed point property for $L^p$ follows from property (T) when $1<p< 2+\e$. For simple Lie groups and their lattices, we prove that the fixed point property for $L^p$ holds for any $1< p<\infty$ if and only if the rank is at least two. Finally, we obtain a superrigidity result for actions of irreducible lattices in products of general groups on superreflexive Banach spaces. Archive classification: Group Theory; Functional Analysis The source file(s), ftlp14.tex: 137939 bytes, is(are) stored in gzipped form as 0506361.gz with size 43kb. The corresponding postcript file has gzipped size 152kb. Submitted from: monod at math.uchicago.edu The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.GR/0506361 or http://arXiv.org/abs/math.GR/0506361 or by email in unzipped form by transmitting an empty message with subject line uget 0506361 or in gzipped form by using subject line get 0506361 to: math at arXiv.org.

From alspach at www.math.okstate.edu Mon Jul 4 10:08:53 2005 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 j64F8rJd094192; Mon, 4 Jul 2005 10:08:53 -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 j64F8rmA094191; Mon, 4 Jul 2005 10:08:53 -0500 (CDT) (envelope-from alspach) Date: Mon, 4 Jul 2005 10:08:53 -0500 (CDT) From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200507041508.j64F8rmA094191 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 a given 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 and study in detail the case of an isotropic log-concave random vector. We also prove 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: 33 pages The source file(s), gr05-06-16.tex: 72987 bytes, is(are) stored in gzipped form as 0507023.gz with size 21kb. The corresponding postcript file has gzipped size 110kb. 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 Mon Jul 4 10:09:35 2005 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 j64F9ZYu094223; Mon, 4 Jul 2005 10:09:35 -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 j64F9Zmb094222; Mon, 4 Jul 2005 10:09:35 -0500 (CDT) (envelope-from alspach) Date: Mon, 4 Jul 2005 10:09:35 -0500 (CDT) From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200507041509.j64F9Zmb094222 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu Subject: Abstract of a paper by Mark Rudelson Status: R

This is an announcement for the paper "Invertibility of random matrices: norm of the inverse" by Mark Rudelson. Abstract: Let A be an n by n matrix, whose entries are independent copies of a centered random variable satisfying the subgaussian tail estimate. We prove that the operator norm of A^{-1} does not exceed Cn^{3/2} with probability close to 1. Archive classification: Functional Analysis Mathematics Subject Classification: 15A52, 46B09 Remarks: 25 pages The source file(s), square-matrix.tex: 58844 bytes, is(are) stored in gzipped form as 0507024.gz with size 18kb. The corresponding postcript file has gzipped size 94kb. 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/0507024 or http://arXiv.org/abs/math.FA/0507024 or by email in unzipped form by transmitting an empty message with subject line uget 0507024 or in gzipped form by using subject line get 0507024 to: math at arXiv.org.

From alspach at www.math.okstate.edu Tue Jul 19 08:31:47 2005 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 j6JDVltB020206; Tue, 19 Jul 2005 08:31:47 -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 j6JDVlw6020205; Tue, 19 Jul 2005 08:31:47 -0500 (CDT) (envelope-from alspach) Date: Tue, 19 Jul 2005 08:31:47 -0500 (CDT) From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200507191331.j6JDVlw6020205 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu Subject: Abstract of a paper by Hermann Pfitzner Status: R

This is an announcement for the paper "A separable L-embedded Banach space has property (X) and is therefore the unique predual of its dual" by Hermann Pfitzner. Abstract: In this note the following is proved. Separable L-embedded spaces - that is separable Banach spaces which are complemented in their biduals such that the norm between the two complementary subspaces is additive - have property (X) which, by a result of Godefroy and Talagrand, entails uniqueness of the space as a predual. Archive classification: Functional Analysis Mathematics Subject Classification: 46B04, 46B03, 46B20 The source file(s), Property_X.tex: 22448 bytes, is(are) stored in gzipped form as 0507354.gz with size 8kb. The corresponding postcript file has gzipped size 41kb. Submitted from: Hermann.Pfitzner at univ-orleans.fr The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0507354 or http://arXiv.org/abs/math.FA/0507354 or by email in unzipped form by transmitting an empty message with subject line uget 0507354 or in gzipped form by using subject line get 0507354 to: math at arXiv.org.

From banach-bounces at math.okstate.edu Wed Jul 20 18:59:46 2005 Return-Path: <banach-bounces at math.okstate.edu> 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 j6KNwiNe032286 for <banach at math.okstate.edu>; Wed, 20 Jul 2005 18:58:44 -0500 Message-Id: <200507202358.j6KNwiNe032286 at ms417l.math.okstate.edu> To: banach at math.okstate.edu MIME-Version: 1.0 Content-Type: text/plain; charset="us-ascii" Content-ID: <32284.1121903924.1 at ms417l.math.okstate.edu> Date: Wed, 20 Jul 2005 18:58:44 -0500 From: Dale Alspach <alspach at math.okstate.edu> X-Virus-Scanned: ClamAV using ClamSMTP Subject: [Banach] Pictures of Haskell Rosenthal X-BeenThere: banach at math.okstate.edu X-Mailman-Version: 2.1.5 Precedence: list List-Id: Banach Space Theory News <banach.math.okstate.edu> List-Unsubscribe: <http://mail.math.okstate.edu:8080/mailman/listinfo/banach>, <mailto:banach-request at math.okstate.edu?subject=unsubscribe> List-Archive: <http://mail.math.okstate.edu:8080/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:8080/mailman/listinfo/banach>, <mailto:banach-request at math.okstate.edu?subject=subscribe> Sender: banach-bounces at math.okstate.edu Errors-To: banach-bounces at math.okstate.edu X-Virus-Scanned: ClamAV using ClamSMTP Status: R

Haskell Rosenthal retired from The University of Texas this past fall after a long and distinguished career. Haskell's wife, Gayle Rosenthal, would like to receive copies of any photos or e-photos or discs, anything with photos of Haskell, lecturing, hiking, dancing, drinking, or anything else, including photos of friends or places he's known or been to. She is preparing a video montage to be shown during Haskellfest at Texas A&M University, August 4-5, 2005. e-Photos should be sent to: Gayle Rosenthal <gayle-rosenthal at austin.rr.com> Hard copies of photos should be sent to: Gayle Rosenthal 311 Nixon Drive Austin TX 78746 _______________________________________________ Banach mailing list Banach at math.okstate.edu http://mail.math.okstate.edu:8080/mailman/listinfo/banach

From alspach at www.math.okstate.edu Tue Jul 26 09:50:08 2005 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 j6QEo8D6080775; Tue, 26 Jul 2005 09:50:08 -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 j6QEo8tS080774; Tue, 26 Jul 2005 09:50:08 -0500 (CDT) (envelope-from alspach) Date: Tue, 26 Jul 2005 09:50:08 -0500 (CDT) From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200507261450.j6QEo8tS080774 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 and Th. Schlumprecht Status: R

This is an announcement for the paper "A universal reflexive space for the class of uniformly convex Banach spaces" by E. Odell and Th. Schlumprecht. Abstract: We show that there exists a separable reflexive Banach space into which every separable uniformly convex Banach space isomorphically embeds. This solves a problem of J.~Bourgain. We also give intrinsic characterizations of separable reflexive Banach spaces which embed into a reflexive space with a block $q$-Hilbertian and/or a block $p$-Besselian finite dimensional decomposition. Archive classification: Functional Analysis Mathematics Subject Classification: 46B03; secondary 46B20 Remarks: 13 pages, amslatex The source file(s), os-universal2-archive.tex: 45823 bytes, is(are) stored in gzipped form as 0507509.gz with size 14kb. The corresponding postcript file has gzipped size 78kb. 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/0507509 or http://arXiv.org/abs/math.FA/0507509 or by email in unzipped form by transmitting an empty message with subject line uget 0507509 or in gzipped form by using subject line get 0507509 to: math at arXiv.org.

From alspach at www.math.okstate.edu Mon Aug 8 10:16:56 2005 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 j78FGuKb035806; Mon, 8 Aug 2005 10:16:56 -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 j78FGuIb035805; Mon, 8 Aug 2005 10:16:56 -0500 (CDT) (envelope-from alspach) Date: Mon, 8 Aug 2005 10:16:56 -0500 (CDT) From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200508081516.j78FGuIb035805 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu Subject: Abstract of a paper by Marc A. Rieffel Status: R

This is an announcement for the paper "Lipschitz extension constants equal projection constants" by Marc A. Rieffel. Abstract: For a finite-dimensional Banach space $V$ we define its Lipschitz extension constant, $\cL\cE(V)$, to be the smallest constant $c$ such that for every compact metric space $(Z,\rho)$, every $X \subset Z$, and every $f: X \to V$, there is an extension, $g$, of $f$ to $Z$ such that $L(g) \le cL(f)$, where $L$ denotes the Lipschitz constant. Our main theorem is that $\cL\cE(V) = \cP\cC(V)$ where $\cP\cC(V)$ is the well-known projection constant of $V$. We obtain some consequences, especially when $V = M_n(\bC)$. We also discuss what happens if we also require that $\|g\|_{\infty} = \|f\|_{\infty}$. Archive classification: Functional Analysis; Metric Geometry Mathematics Subject Classification: 46B20; 26A16 Remarks: 12 pages. Intended for the proceedings of GPOTS05 The source file(s), liparc.tex: 35141 bytes, is(are) stored in gzipped form as 0508097.gz with size 12kb. The corresponding postcript file has gzipped size 61kb. Submitted from: rieffel at math.berkeley.edu The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0508097 or http://arXiv.org/abs/math.FA/0508097 or by email in unzipped form by transmitting an empty message with subject line uget 0508097 or in gzipped form by using subject line get 0508097 to: math at arXiv.org.

From alspach at www.math.okstate.edu Thu Aug 18 12:07:53 2005 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 j7IH7rlb070713; Thu, 18 Aug 2005 12:07:53 -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 j7IH7rlf070712; Thu, 18 Aug 2005 12:07:53 -0500 (CDT) (envelope-from alspach) Date: Thu, 18 Aug 2005 12:07:53 -0500 (CDT) From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200508181707.j7IH7rlf070712 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 K Mirmostafaee Status: RO

This is an announcement for the paper "A note on convex renorming and fragmentability" by A K Mirmostafaee. Abstract: Using the game approach to fragmentability, we give new and simpler proofs of the following known results: (a)~If the Banach space admits an equivalent Kadec norm, then its weak topology is fragmented by a metric which is stronger than the norm topology. (b)~If the Banach space admits an equivalent rotund norm, then its weak topology is fragmented by a metric. (c)~If the Banach space is weakly locally uniformly rotund, then its weak topology is fragmented by a metric which is stronger than the norm topology. Archive classification: Functional Analysis Mathematics Subject Classification: 46B20, 54E99, 54H05 Citation: Proc. Indian Acad. Sci. (Math. Sci.), Vol. 115, No. 2, May 2005, The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0508311 or http://arXiv.org/abs/math.FA/0508311 or by email in unzipped form by transmitting an empty message with subject line uget 0508311 or in gzipped form by using subject line get 0508311 to: math at arXiv.org.

From alspach at www.math.okstate.edu Fri Aug 26 12:24:41 2005 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 j7QHOfcr024778; Fri, 26 Aug 2005 12:24:41 -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 j7QHOfSl024777; Fri, 26 Aug 2005 12:24:41 -0500 (CDT) (envelope-from alspach) Date: Fri, 26 Aug 2005 12:24:41 -0500 (CDT) From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200508261724.j7QHOfSl024777 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu Subject: Abstract of a paper by Javier Parcet Status: R

This is an announcement for the paper "Weak type estimates associated to Burkholder's martingale inequality" by Javier Parcet. Abstract: Given a probability space $(\Omega, \mathsf{A}, \mu)$, let $\mathsf{A}_1, \mathsf{A}_2, \ldots$ be a filtration of $\sigma$-subalgebras of $\mathsf{A}$ and let $\mathsf{E}_1, \mathsf{E}_2, \ldots$ denote the corresponding family of conditional expectations. Given a martingale $f = (f_1, f_2, \ldots)$ adapted to this filtration and bounded in $L_p(\Omega)$ for some $2 \le p < \infty$, Burkholder's inequality claims that $$\|f\|_{L_p(\Omega)} \sim_{\mathrm{c}_p} \Big\| \Big( \sum_{k=1}^\infty \mathsf{E}_{k-1}(|df_k|^2) \Big)^{1/2} \Big\|_{L_{p}(\Omega)} + \Big( \sum_{k=1}^\infty \|df_k\|_p^p \Big)^{1/p}.$$ Motivated by quantum probability, Junge and Xu recently extended this result to the range $1 < p < 2$. In this paper we study Burkholder's inequality for $p=1$, for which the techniques (as we shall explain) must be different. Quite surprisingly, we obtain two non-equivalent estimates which play the role of the weak type $(1,1)$ analog of Burkholder's inequality. As application, we obtain new properties of Davis decomposition for martingales. Archive classification: Probability; Functional Analysis Mathematics Subject Classification: 42B25; 60G46; 60G50 Remarks: 19 pages The source file(s), WeakBurk.tex: 66319 bytes, is(are) stored in gzipped form as 0508447.gz with size 18kb. The corresponding postcript file has gzipped size 88kb. Submitted from: javier.parcet at uam.es The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.PR/0508447 or http://arXiv.org/abs/math.PR/0508447 or by email in unzipped form by transmitting an empty message with subject line uget 0508447 or in gzipped form by using subject line get 0508447 to: math at arXiv.org.

From banach-bounces at math.okstate.edu Fri Aug 26 12:39:09 2005 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 j7QHd97g024886 for <alspach at www.math.okstate.edu>; Fri, 26 Aug 2005 12:39:09 -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 16D0D3F6B6; Fri, 26 Aug 2005 12:39:09 -0500 (CDT) Received: from mail.math.okstate.edu (localhost [127.0.0.1]) by mail.math.okstate.edu (Postfix) with ESMTP id 8F3BA3F6AF; Fri, 26 Aug 2005 12:39:08 -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 355B23F6AE for <banach at math.okstate.edu>; Fri, 26 Aug 2005 12:39:07 -0500 (CDT) 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 1CAC43F6A6 for <banach at math.okstate.edu>; Fri, 26 Aug 2005 12:39:07 -0500 (CDT) 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 j7QHcpPS024380 for <banach at math.okstate.edu>; Fri, 26 Aug 2005 12:38:51 -0500 Message-Id: <200508261738.j7QHcpPS024380 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: Fri, 26 Aug 2005 12:38:51 -0500 From: Dale Alspach <alspach at math.okstate.edu> X-Virus-Scanned: ClamAV using ClamSMTP Subject: [Banach] Abstract of a paper by Gilles Pisier X-BeenThere: banach at math.okstate.edu X-Mailman-Version: 2.1.6 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

This is an announcement for the paper "Simultaneous similarity, bounded generation and amenability" by Gilles Pisier. Abstract: We prove that a discrete group $G$ is amenable iff it is strongly unitarizable in the following sense: every unitarizable representation $\pi$ on $G$ can be unitarized by an invertible chosen in the von Neumann algebra generated by the range of $\pi$. Analogously a $C^*$-algebra $A$ is nuclear iff any bounded homomorphism $u:\ A\to B(H)$ is strongly similar to a $*$-homomorphism in the sense that there is an invertible operator $\xi$ in the von Neumann algebra generated by the range of $u$ such that $a\to \xi u(a) \xi^{-1}$ is a $*$-homomorphism. An analogous characterization holds in terms of derivations. We apply this to answer several questions left open in our previous work concerning the length $\ell(A,B)$ of the maximal tensor product $A\otimes_{\max} B$ of two unital $C^*$-algebras, when we consider its generation by the subalgebras $A\otimes 1$ and $1\otimes B$. We show that if $\ell(A,B)<\infty$ either for $B=B(\ell_2)$ or when $B$ is the $C^*$-algebra (either full or reduced) of a non Abelian free group, then $A$ must be nuclear. We also show that $\ell(A,B)\le d$ iff the canonical quotient map from the unital free product $A\ast B$ onto $A\otimes_{\max} B$ remains a complete quotient map when restricted to the closed span of the words of length $\le d$. Archive classification: Operator Algebras; Functional Analysis Mathematics Subject Classification: Primary 46 L06. Secondary: 46L07, 46L57 Primary 46 L06. Secondary: The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.OA/0508223 or http://arXiv.org/abs/math.OA/0508223 or by email in unzipped form by transmitting an empty message with subject line uget 0508223 or in gzipped form by using subject line get 0508223 to: math at arXiv.org. _______________________________________________ Banach mailing list Banach at math.okstate.edu http://mail.math.okstate.edu/mailman/listinfo/banach

From alspach at www.math.okstate.edu Fri Aug 26 12:27:21 2005 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 j7QHRLQP024823; Fri, 26 Aug 2005 12:27:21 -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 j7QHRLxa024822; Fri, 26 Aug 2005 12:27:21 -0500 (CDT) (envelope-from alspach) Date: Fri, 26 Aug 2005 12:27:21 -0500 (CDT) From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200508261727.j7QHRLxa024822 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu Subject: Abstract of a paper by Anna Maria Pelczar Status: R

This is an announcement for the paper "Stabilization of Tsirelson-type norms on $\ell_p$ spaces" by Anna Maria Pelczar. Abstract: We consider classical Tsirelson-type norms of $T[A_r,\theta]$ and their modified versions on $\ell_p$ spaces. We show that for any $1<p<\infty$ there is a constant $\lambda_p$ such that considered Tsirelson-type norms do not $\lambda_p$-distort any of subspaces of $\ell_p$. Archive classification: Functional Analysis Mathematics Subject Classification: 46B03 Remarks: 10 pages The source file(s), stab-tsir.tex: 27412 bytes, is(are) stored in gzipped form as 0508352.gz with size 9kb. The corresponding postcript file has gzipped size 57kb. Submitted from: anna.pelczar at im.uj.edu.pl The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0508352 or http://arXiv.org/abs/math.FA/0508352 or by email in unzipped form by transmitting an empty message with subject line uget 0508352 or in gzipped form by using subject line get 0508352 to: math at arXiv.org.

From banach-bounces at math.okstate.edu Fri Aug 26 12:42:46 2005 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 j7QHgkm6024912 for <alspach at www.math.okstate.edu>; Fri, 26 Aug 2005 12:42:46 -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 A3C783F6BF; Fri, 26 Aug 2005 12:42:46 -0500 (CDT) Received: from mail.math.okstate.edu (localhost [127.0.0.1]) by mail.math.okstate.edu (Postfix) with ESMTP id 3558E3F641; Fri, 26 Aug 2005 12:42:46 -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 A69713F639 for <banach at math.okstate.edu>; Fri, 26 Aug 2005 12:42:45 -0500 (CDT) 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 75B253F638 for <banach at math.okstate.edu>; Fri, 26 Aug 2005 12:42:45 -0500 (CDT) 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 j7QHgTZV024408 for <banach at math.okstate.edu>; Fri, 26 Aug 2005 12:42:29 -0500 Message-Id: <200508261742.j7QHgTZV024408 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: Fri, 26 Aug 2005 12:42:29 -0500 From: Dale Alspach <alspach at math.okstate.edu> X-Virus-Scanned: ClamAV using ClamSMTP Subject: [Banach] Abstract of a paper by A K Mirmostafaee X-BeenThere: banach at math.okstate.edu X-Mailman-Version: 2.1.6 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

This is an announcement for the paper "A note on convex renorming and fragmentability" by A K Mirmostafaee. Abstract: Using the game approach to fragmentability, we give new and simpler proofs of the following known results: (a)~If the Banach space admits an equivalent Kadec norm, then its weak topology is fragmented by a metric which is stronger than the norm topology. (b)~If the Banach space admits an equivalent rotund norm, then its weak topology is fragmented by a metric. (c)~If the Banach space is weakly locally uniformly rotund, then its weak topology is fragmented by a metric which is stronger than the norm topology. Archive classification: Functional Analysis Mathematics Subject Classification: 46B20, 54E99, 54H05 Citation: Proc. Indian Acad. Sci. (Math. Sci.), Vol. 115, No. 2, May 2005, The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0508311 or http://arXiv.org/abs/math.FA/0508311 or by email in unzipped form by transmitting an empty message with subject line uget 0508311 or in gzipped form by using subject line get 0508311 to: math at arXiv.org. _______________________________________________ Banach mailing list Banach at math.okstate.edu http://mail.math.okstate.edu/mailman/listinfo/banach

From alspach at www.math.okstate.edu Tue Aug 30 07:43:39 2005 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 j7UChcaY097668; Tue, 30 Aug 2005 07:43:38 -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 j7UChcIo097667; Tue, 30 Aug 2005 07:43:38 -0500 (CDT) (envelope-from alspach) Date: Tue, 30 Aug 2005 07:43:38 -0500 (CDT) From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200508301243.j7UChcIo097667 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu Subject: Abstract of a paper by Mukul S. Patel Status: R

This is an announcement for the paper "Noncommmutative Gelfand duality for not necessarily unital $C^*$-algebras, Jordan canonical form, and the existence of invariant subspaces" by Mukul S. Patel. Abstract: Gelfand-Naimark duality (Commutative $C^*$-algebras $\equiv$ Locally compact Hausdorff spaces) is extended to \begin{center}$C^*$-algebras $\equiv$ Quotient maps on locally compact Hausdorff spaces.\end{center} Using this duality, we give for an \emph{arbitrary} bounded operator on a complex Hilbert space of several dimensions, a functional calculus and the existence theorem for nontrivial invariant subspace. Archive classification: Functional Analysis; Operator Algebras Mathematics Subject Classification: 46L05; 47A13; 47A13; 43A40; 22B05 Remarks: Under consideration for publication by Electronic Reasearch The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0508545 or http://arXiv.org/abs/math.FA/0508545 or by email in unzipped form by transmitting an empty message with subject line uget 0508545 or in gzipped form by using subject line get 0508545 to: math at arXiv.org.

From alspach at www.math.okstate.edu Thu Sep 1 06:36:28 2005 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 j81BaSap020165; Thu, 1 Sep 2005 06:36:28 -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 j81BaSeL020164; Thu, 1 Sep 2005 06:36:28 -0500 (CDT) (envelope-from alspach) Date: Thu, 1 Sep 2005 06:36:28 -0500 (CDT) From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200509011136.j81BaSeL020164 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 and B. Sari Status: R

This is an announcement for the paper "Lattice structures and spreading models" by S. J. Dilworth, E. Odell and B. Sari. Abstract: We consider problems concerning the partial order structure of the set of spreading models of Banach spaces. We construct examples of spaces showing that the possible structure of these sets include certain classes of finite semi-lattices and countable lattices, and all finite lattices. Archive classification: Functional Analysis The source file(s), dos.tex: 60915 bytes, is(are) stored in gzipped form as 0508650.gz with size 19kb. The corresponding postcript file has gzipped size 88kb. Submitted from: bunyamin at unt.edu The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0508650 or http://arXiv.org/abs/math.FA/0508650 or by email in unzipped form by transmitting an empty message with subject line uget 0508650 or in gzipped form by using subject line get 0508650 to: math at arXiv.org.

From alspach at www.math.okstate.edu Tue Sep 13 11:37:11 2005 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 j8DGbBE1023202; Tue, 13 Sep 2005 11:37:11 -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 j8DGbBvj023201; Tue, 13 Sep 2005 11:37:11 -0500 (CDT) (envelope-from alspach) Date: Tue, 13 Sep 2005 11:37:11 -0500 (CDT) From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200509131637.j8DGbBvj023201 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu Subject: Abstract of a paper by N. Brodskiy and D. Sonkin Status: R

This is an announcement for the paper "Compression of uniform embeddings into Hilbert space" by N. Brodskiy and D. Sonkin. Abstract: If one tries to embed a metric space uniformly in Hilbert space, how close to quasi-isometric could the embedding be? We answer this question for finite dimensional CAT(0) cube complexes and for hyperbolic groups. In particular, we show that the Hilbert space compression of any hyperbolic group is 1. Archive classification: Group Theory; Functional Analysis; Geometric Topology Mathematics Subject Classification: 20F69; 20F65; 46C05 Remarks: 10 pages The source file(s), Uniform_Embeddings.tex: 27243 bytes, is(are) stored in gzipped form as 0509108.gz with size 9kb. The corresponding postcript file has gzipped size 50kb. Submitted from: brodskiy at math.utk.edu The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.GR/0509108 or http://arXiv.org/abs/math.GR/0509108 or by email in unzipped form by transmitting an empty message with subject line uget 0509108 or in gzipped form by using subject line get 0509108 to: math at arXiv.org.

From alspach at www.math.okstate.edu Tue Sep 13 11:37:37 2005 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 j8DGbb2l023233; Tue, 13 Sep 2005 11:37:37 -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 j8DGbbJD023232; Tue, 13 Sep 2005 11:37:37 -0500 (CDT) (envelope-from alspach) Date: Tue, 13 Sep 2005 11:37:37 -0500 (CDT) From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200509131637.j8DGbbJD023232 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu Subject: Abstract of a paper by Narcisse Randrianantoanina Status: R

This is an announcement for the paper "Conditioned square functions for non-commutative martingales" by Narcisse Randrianantoanina. Abstract: We prove a weak-type (1,1) inequality involving conditioned square functions of martingales in non-commutative $L^p$-spaces associated with finite von Neumann algebras. As application, we determine the optimal orders for the best constants in the non-commutative Burkholder/Rosenthal inequalities from Ann. Proba. 31 (2003), 948-995. We also discuss BMO-norms of sums of non-commuting order independent operators. Archive classification: Functional Analysis; Probability Mathematics Subject Classification: 46L53; 60G42 Remarks: 38 pages The source file(s), condsquaref.tex: 107932 bytes, is(are) stored in gzipped form as 0509226.gz with size 31kb. The corresponding postcript file has gzipped size 136kb. Submitted from: randrin at muohio.edu The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0509226 or http://arXiv.org/abs/math.FA/0509226 or by email in unzipped form by transmitting an empty message with subject line uget 0509226 or in gzipped form by using subject line get 0509226 to: math at arXiv.org.

From alspach at www.math.okstate.edu Fri Sep 16 21:57:45 2005 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 j8H2vj0a000380; Fri, 16 Sep 2005 21:57:45 -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 j8H2vjQs000379; Fri, 16 Sep 2005 21:57:45 -0500 (CDT) (envelope-from alspach) Date: Fri, 16 Sep 2005 21:57:45 -0500 (CDT) From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200509170257.j8H2vjQs000379 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 Status: R

This is an announcement for the paper "Separated sequences in uniformly convex Banach spaces" by Jan van Neerven. Abstract: We prove that the unit sphere of every infinite-dimensional uniformly convex Banach space with modulus of convexity $\delta$ contains a $(1+\frac12\delta(\frac23))$-separated sequence. Archive classification: Functional Analysis Mathematics Subject Classification: 46B20 Citation: Colloq. Math. 102 (2005), 147-153 Remarks: 5 pages The source file(s), unif_convex.tex: 18207 bytes, is(are) stored in gzipped form as 0509344.gz with size 6kb. The corresponding postcript file has gzipped size 33kb. Submitted from: J.vanNeerven at math.tudelft.nl The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0509344 or http://arXiv.org/abs/math.FA/0509344 or by email in unzipped form by transmitting an empty message with subject line uget 0509344 or in gzipped form by using subject line get 0509344 to: math at arXiv.org.

Return-Path: banach-bounces at math.okstate.edu Delivery-Date: Fri, 16 Sep 2005 21:56:14 -0500 Return-Path: <banach-bounces at math.okstate.edu> Delivered-To: alspach at math.okstate.edu X-Original-To: banach at mail.math.okstate.edu Delivered-To: banach at mail.math.okstate.edu X-Virus-Scanned: ClamAV using ClamSMTP X-BeenThere: banach at math.okstate.edu X-Mailman-Version: 2.1.6 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> MIME-Version: 1.0 Content-Type: text/plain; charset="us-ascii" Sender: banach-bounces at math.okstate.edu Errors-To: banach-bounces at math.okstate.edu Date: Fri, 16 Sep 2005 21:56:49 CDT To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu From: Dale Alspach <alspach at www.math.okstate.edu> Subject: [Banach] Abstract of a paper by Gilles Pisier

This is an announcement for the paper "Remarks on $B(H)\otimes B(H)$" by Gilles Pisier. Abstract: We review the existing proofs that the min and max norms are different on $B(H)\otimes B(H)$ and give a shortcut avoiding the consideration of non-separable families of operator spaces. Archive classification: Operator Algebras; Functional Analysis Mathematics Subject Classification: 46L05, 46M05, 47D15 The source file(s), remarks.BB.tex: 17702 bytes, is(are) stored in gzipped form as 0509297.gz with size 7kb. The corresponding postcript file has gzipped size 43kb. Submitted from: gip at ccr.jussieu.fr The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.OA/0509297 or http://arXiv.org/abs/math.OA/0509297 or by email in unzipped form by transmitting an empty message with subject line uget 0509297 http://front.math.ucdavis.edu/math.OA/0509297 or http://arXiv.org/abs/math.OA/0509297 or by email in unzipped form by transmitting an empty message with subject line uget 0509297 or in gzipped form by using subject line get 0509297 to: math at arXiv.org.

From alspach at www.math.okstate.edu Sat Sep 17 08:02:59 2005 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 j8HD2wFf007470; Sat, 17 Sep 2005 08:02:58 -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 j8HD2wAp007469; Sat, 17 Sep 2005 08:02:58 -0500 (CDT) (envelope-from alspach) Date: Sat, 17 Sep 2005 08:02:58 -0500 (CDT) From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200509171302.j8HD2wAp007469 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu Subject: Abstract of a paper by Yevgen Ivakhno, Vladimir Kadets and Dirk Werner Status: R

This is an announcement for the paper "The Daugavet property for spaces of Lipschitz functions" by Yevgen Ivakhno, Vladimir Kadets and Dirk Werner. Abstract: For a compact metric space $K$ the space $\Lip(K)$ has the Daugavet property if and only if the norm of every $f \in \Lip(K)$ is attained locally. If $K$ is a subset of an $L_p$-space, $1<p<\infty$, this is equivalent to the convexity of~$K$. Archive classification: Functional Analysis Mathematics Subject Classification: 46B04; 46B25; 54E45 The source file(s), daugalip.tex: 46665 bytes, is(are) stored in gzipped form as 0509373.gz with size 15kb. The corresponding postcript file has gzipped size 75kb. Submitted from: werner at math.fu-berlin.de The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0509373 or http://arXiv.org/abs/math.FA/0509373 or by email in unzipped form by transmitting an empty message with subject line uget 0509373 or in gzipped form by using subject line get 0509373 to: math at arXiv.org.

From alspach at www.math.okstate.edu Sat Sep 17 08:03:55 2005 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 j8HD3tro007502; Sat, 17 Sep 2005 08:03:55 -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 j8HD3t60007501; Sat, 17 Sep 2005 08:03:55 -0500 (CDT) (envelope-from alspach) Date: Sat, 17 Sep 2005 08:03:55 -0500 (CDT) From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200509171303.j8HD3t60007501 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu Subject: Abstract of a paper by Konstantin Boyko, Vladimir Kadets, Miguel Martin, and Dirk Werner Status: R

This is an announcement for the paper "Numerical index and duality" by Konstantin Boyko, Vladimir Kadets, Miguel Martin, and Dirk Werner. Abstract: We present an example of a Banach space whose numerical index is strictly greater than the numerical index of its dual, giving a negative answer to a question which has been latent since the beginning of the seventies. We also show a particular case in which the numerical index of the space and the one of its dual coincide. Archive classification: Functional Analysis Mathematics Subject Classification: 46B20; 47A12; 46B22; 46E15 The source file(s), miguelvovakostya.tex: 34653 bytes, is(are) stored in gzipped form as 0509374.gz with size 12kb. The corresponding postcript file has gzipped size 63kb. Submitted from: werner at math.fu-berlin.de The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0509374 or http://arXiv.org/abs/math.FA/0509374 or by email in unzipped form by transmitting an empty message with subject line uget 0509374 or in gzipped form by using subject line get 0509374 to: math at arXiv.org.

From alspach at www.math.okstate.edu Tue Sep 20 07:38:07 2005 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 j8KCc7JI056321; Tue, 20 Sep 2005 07:38:07 -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 j8KCc7k8056320; Tue, 20 Sep 2005 07:38:07 -0500 (CDT) (envelope-from alspach) Date: Tue, 20 Sep 2005 07:38:07 -0500 (CDT) From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200509201238.j8KCc7k8056320 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu Subject: Abstract of a paper by B. Sari, Th. Schlumprecht, N. Tomczak-Jaegermann, and V.G. Troitsky Status: R

This is an announcement for the paper "On norm closed ideals in L(\ell_p\oplus\ell_q)" by B. Sari, Th. Schlumprecht, N. Tomczak-Jaegermann, and V.G. Troitsky. Abstract: It is well known that the only proper non-trivial norm-closed ideal in the algebra L(X) for X=\ell_p (1 \le p < \infty) or X=c_0 is the ideal of compact operators. The next natural question is to describe all closed ideals of L(\ell_p\oplus\ell_q) for 1 \le p,q < \infty, p \neq q, or, equivalently, the closed ideals in L(\ell_p,\ell_q) for p < q. This paper shows that for 1 < p < 2 < q < \infty there are at least four distinct proper closed ideals in L(\ell_p,\ell_q), including one that has not been studied before. The proofs use various methods from Banach space theory. Archive classification: Functional Analysis; Operator Algebras Mathematics Subject Classification: 47L20; 47B10; 47B37 Remarks: 24 pages Submitted from: vtroitsky at math.ualberta.ca The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0509414 or http://arXiv.org/abs/math.FA/0509414 or by email in unzipped form by transmitting an empty message with subject line uget 0509414 or in gzipped form by using subject line get 0509414 to: math at arXiv.org.

From alspach at www.math.okstate.edu Thu Sep 22 13:32:41 2005 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 j8MIWf9i081378; Thu, 22 Sep 2005 13:32:41 -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 j8MIWfZ5081377; Thu, 22 Sep 2005 13:32:41 -0500 (CDT) (envelope-from alspach) Date: Thu, 22 Sep 2005 13:32:41 -0500 (CDT) From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200509221832.j8MIWfZ5081377 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.Hajji Status: R

This is an announcement for the paper "Forme equivalente \`a la condition $\Delta_2 $ et certains r\'esultats de s\'eparations dans les espaces modulaires" by A.Hajji. Abstract: In this paper, we present an equivalent form of the $\Delta_2 $-condition which allow us to redefine the topological vector space structure of a modular spaces using the \\ filter base. We show also the characterization of closed subsets (in the sens of this topology ) of a modular spaces which permit us to establish some separation results in modular spaces Archive classification: Functional Analysis Remarks: 11p,pas de figure The source file(s), E12.tex: 25102 bytes, is(are) stored in gzipped form as 3013999.gz with size 7kb. The corresponding postcript file has gzipped size 41kb. Submitted from: lphe at fsr.ac.ma The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0509482 or http://arXiv.org/abs/math.FA/0509482 or by email in unzipped form by transmitting an empty message with subject line uget 0509482 or in gzipped form by using subject line get 0509482 to: math at arXiv.org.

From alspach at www.math.okstate.edu Tue Oct 4 06:49:06 2005 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 j94Bn5lq066693; Tue, 4 Oct 2005 06:49:05 -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 j94Bn5jF066692; Tue, 4 Oct 2005 06:49:05 -0500 (CDT) (envelope-from alspach) Date: Tue, 4 Oct 2005 06:49:05 -0500 (CDT) From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200510041149.j94Bn5jF066692 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu Subject: Abstract of a paper by Peter G. Casazza, Matt Fickus, Janet C. Tremain, and Eric Weber Status: R

This is an announcement for the paper "The Kadison-Singer problem in mathematics and engineering" by Peter G. Casazza, Matt Fickus, Janet C. Tremain, and Eric Weber. Abstract: We will show that the famous, intractible 1959 Kadison-Singer problem in $C^{*}$-algebras is equivalent to fundamental unsolved problems in a dozen areas of research in pure mathematics, applied mathematics and Engineering. This gives all these areas common ground on which to interact as well as explaining why each of these areas has volumes of literature on their respective problems without a satisfactory resolution. In each of these areas we will reduce the problem to the minimum which needs to be proved to solve their version of Kadison-Singer. In some areas we will prove what we believe will be the strongest results ever available in the case that Kadison-Singer fails. Finally, we will give some directions for constructing a counter-example to Kadison-Singer. Archive classification: Functional Analysis Mathematics Subject Classification: 42C15; 46B03; 46C05; 47A05; 46L05; 46L10 The source file(s), KSSubmit.tex: 163819 bytes, is(are) stored in gzipped form as 0510024.gz with size 46kb. The corresponding postcript file has gzipped size 199kb. Submitted from: pete at math.missouri.edu The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0510024 or http://arXiv.org/abs/math.FA/0510024 or by email in unzipped form by transmitting an empty message with subject line uget 0510024 or in gzipped form by using subject line get 0510024 to: math at arXiv.org.

From banach-bounces at math.okstate.edu Thu Oct 6 12:58:34 2005 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 j96HwY5B091075 for <alspach at www.math.okstate.edu>; Thu, 6 Oct 2005 12:58:34 -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 2BD4C3F650; Thu, 6 Oct 2005 12:58:33 -0500 (CDT) Received: from mail.math.okstate.edu (localhost [127.0.0.1]) by mail.math.okstate.edu (Postfix) with ESMTP id A98913F640; Thu, 6 Oct 2005 12:58:32 -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 C9A913F63D for <banach at math.okstate.edu>; Thu, 6 Oct 2005 12:58:30 -0500 (CDT) 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 A6FAD3F5FA for <banach at math.okstate.edu>; Thu, 6 Oct 2005 12:58:30 -0500 (CDT) 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 j96HvFwR011581 for <banach at math.okstate.edu>; Thu, 6 Oct 2005 12:57:15 -0500 Message-Id: <200510061757.j96HvFwR011581 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: Thu, 06 Oct 2005 12:57:15 -0500 From: Dale Alspach <alspach at math.okstate.edu> X-Virus-Scanned: ClamAV using ClamSMTP Subject: [Banach] Conference on Banach spaces and their Applications in Analysis X-BeenThere: banach at math.okstate.edu X-Mailman-Version: 2.1.6 Precedence: list Reply-To: Beata Randrianantoanina <randrib at muohio.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="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 j96HwY5B091075 Status: R

Second Announcement for the conference ``Banach spaces and their applications in Analysis'', in honor of Nigel Kalton's 60th birthday, to be held May 22-27, 2006 at Miami University in Oxford, Ohio. We would like to announce that the website for the conference has been updated and now includes information about registration fees and deadlines for submitting abstracts and payments. At the conference we will emphasize the following themes: - -- Nonlinear theory (Lipschitz classifications of Banach and metric spaces and related topics), - -- Isomorphic theory of Banach spaces including connections with combinatorics and set theory, - -- Algebraic and homological methods in Banach spaces, - -- Approximation theory and algorithms in Banach spaces (greedy algorithms, interpolation etc.), - -- Functional calculus and applications to Partial Differential Equations. The following people have agreed to be principal speakers at the conference: Yuri Brudnyi (Technion - Israel Institute of Technology, Israel) Jesus M. F. Castillo (University of Extremadura, Spain) Marianna Csornyei (University College, London, UK) Stephen Dilworth (University of South Carolina) Gilles Godefroy (UniversitÃ¨ Paris VI, France) William B. Johnson (Texas A&M University) Joram Lindenstrauss (Hebrew University, Israel) Assaf Naor (Microsoft Research) Edward Odell (University of Texas) Aleksander Pelczynski (Polish Academy of Sciences, Poland) David Preiss (University College, London, UK) Gideon Schechtman (Weizmann Institute of Science, Israel) Thomas Schlumprecht (Texas A&M University) Vladimir Temlyakov (University of South Carolina) Nicole Tomczak-Jaegermann (University of Alberta, Canada) Roman Vershynin (University of California - Davis) Lutz Weis (Universitat Karlsruhe, Germany) Przemyslaw Wojtaszczyk (Warsaw University, Poland) More information about the conference, its location, registration fees, deadlines, accommodations and a printable poster are available at the website: http://www.users.muohio.edu/randrib/bsaa2006.html Please direct any questions to either of the organizers at randrib at muohio.edu or randrin at muohio.edu Sincerely yours, Beata Randrianantoanina Narcisse Randrianantoanina. _______________________________________________ Banach mailing list Banach at math.okstate.edu http://mail.math.okstate.edu/mailman/listinfo/banach

From alspach at www.math.okstate.edu Thu Oct 20 13:10:00 2005 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 j9KIA05a033211; Thu, 20 Oct 2005 13:10:00 -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 j9KIA0Zk033210; Thu, 20 Oct 2005 13:10:00 -0500 (CDT) (envelope-from alspach) Date: Thu, 20 Oct 2005 13:10:00 -0500 (CDT) From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200510201810.j9KIA0Zk033210 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu Subject: Abstract of a paper by Matthew Neal and Bernard Russo Status: R

This is an announcement for the paper "Classification of contractively complemented Hilbertian operator spaces" by Matthew Neal and Bernard Russo. Abstract: We construct some separable infinite dimensional homogeneous Hilbertian operator spaces which generalize the row and column spaces R and C. We show that separable infinite-dimensional Hilbertian JC*-triples are completely isometric to an element of the set of (infinite) intersections of these spaces. This set includes the operator spaces R, C, their intersection, and the space spanned by creation operators on the full anti-symmetric Fock space. In fact, we show that these new spaces are completely isometric to the space of creation (resp. annihilation) operators on the anti-symmetric tensors of the Hilbert space. Together with the finite-dimensional case studied in our previous paper, this gives a full operator space classification of all rank-one JC*-triples in terms of creation and annihilation operator spaces. We use the above to show that all contractive projections on a C*-algebra A with infinite dimensional Hilbertian range are ``expansions'' (which we define precisely) of normal contractive projections from the second dual of A onto a Hilbertian space which is completely isometric to one of the four spaces mentioned above. This generalizes the well known result, first proved for B(H) by Robertson, that all Hilbertian operator spaces that are completely contractively complemented in a C*-algebra are completely isometric to R or C. We also compute various completely bounded Banach-Mazur distances between these spaces. Archive classification: Operator Algebras; Functional Analysis Mathematics Subject Classification: 46L07 Remarks: 24 pages, submitted The source file(s), fock0827.tex: 87070 bytes, is(are) stored in gzipped form as 0510323.gz with size 27kb. The corresponding postcript file has gzipped size 117kb. Submitted from: brusso at math.uci.edu The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.OA/0510323 or http://arXiv.org/abs/math.OA/0510323 or by email in unzipped form by transmitting an empty message with subject line uget 0510323 or in gzipped form by using subject line get 0510323 to: math at arXiv.org.

From alspach at www.math.okstate.edu Thu Oct 20 13:10:58 2005 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 j9KIAwxH033255; Thu, 20 Oct 2005 13:10:58 -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 j9KIAwpM033254; Thu, 20 Oct 2005 13:10:58 -0500 (CDT) (envelope-from alspach) Date: Thu, 20 Oct 2005 13:10:58 -0500 (CDT) From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200510201810.j9KIAwpM033254 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 S. Todorcevic Status: R

This is an announcement for the paper "Pre-compact families of finite sets of integers and weakly null sequences in Banach spaces" by Jordi Lopez Abad and S. Todorcevic. Abstract: We provide a somewhat general framework for studying weakly null sequences in Banach spaces using Ramsey theory of families of finite subsets of integers Archive classification: Functional Analysis; Logic Mathematics Subject Classification: MSC: 05d10, 46b20 The source file(s), lop-tod.tex: 145237 bytes, is(are) stored in gzipped form as 0510407.gz with size 41kb. The corresponding postcript file has gzipped size 136kb. 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/0510407 or http://arXiv.org/abs/math.FA/0510407 or by email in unzipped form by transmitting an empty message with subject line uget 0510407 or in gzipped form by using subject line get 0510407 to: math at arXiv.org.

From alspach at www.math.okstate.edu Thu Oct 20 13:11:59 2005 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 j9KIBxva033299; Thu, 20 Oct 2005 13:11:59 -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 j9KIBxTS033298; Thu, 20 Oct 2005 13:11:59 -0500 (CDT) (envelope-from alspach) Date: Thu, 20 Oct 2005 13:11:59 -0500 (CDT) From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200510201811.j9KIBxTS033298 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 Antonis Manoussakis Status: R

This is an announcement for the paper "A classification of Tsirelson type spaces" by Jordi Lopez Abad and Antonis Manoussakis. Abstract: We give a complete classification of mixed Tsirelson spaces T[( F\_i, theta\_i)\_{i=1}^r ] for finitely many pairs of given compact and hereditary families F\_i of finite sets of integers and 0<theta\_i<1 in terms of the Cantor-Bendixson indexes of the families F\_i, and theta\_i (0< i < r+1). We prove that there are unique countable ordinal alpha and 0<theta<1 such that every block sequence of T[( F\_i, theta\_i)\_{i=1}^r ] has a subsequence equivalent to a subsequence of the natural basis of the T( S\_{omega^alpha},theta ). Finally, we give a complete criterion of comparison in between two of these mixed Tsirelson spaces. Archive classification: Functional Analysis; Logic Mathematics Subject Classification: MSC 46b20, 05d10 The source file(s), lop-man.tex: 131413 bytes, is(are) stored in gzipped form as 0510410.gz with size 37kb. The corresponding postcript file has gzipped size 150kb. 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/0510410 or http://arXiv.org/abs/math.FA/0510410 or by email in unzipped form by transmitting an empty message with subject line uget 0510410 or in gzipped form by using subject line get 0510410 to: math at arXiv.org.

From alspach at www.math.okstate.edu Thu Oct 27 08:33:24 2005 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 j9RDXNa1026299; Thu, 27 Oct 2005 08:33:23 -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 j9RDXNhc026298; Thu, 27 Oct 2005 08:33:23 -0500 (CDT) (envelope-from alspach) Date: Thu, 27 Oct 2005 08:33:23 -0500 (CDT) From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200510271333.j9RDXNhc026298 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu Subject: Abstract of a paper by Ulrich Kohlenbach and Laurentiu Leustean Status: R

This is an announcement for the paper "The approximate fixed point property in product spaces" by Ulrich Kohlenbach and Laurentiu Leustean. Abstract: In this paper we generalize to unbounded convex subsets C of hyperbolic spaces results obtained by W.A. Kirk and R. Espinola on approximate fixed points of nonexpansive mappings in product spaces $(C\times M)_\infty$, where M is a metric space and C is a nonempty, convex, closed and bounded subset of a normed or a CAT(0)-space. We extend the results further, to families $(C_u)_{u\in M}$ of unbounded convex subsets of a hyperbolic space. The key ingredient in obtaining these generalizations is a uniform quantitative version of a theorem due to Borwein, Reich and Shafrir, obtained by the authors in a previous paper using techniques from mathematical logic. Inspired by that, we introduce in the last section the notion of uniform approximate fixed point property for sets C and classes of self-mappings of C. The paper ends with an open problem. Archive classification: Functional Analysis; Logic Mathematics Subject Classification: 47H10, 47H09 (Primary) 03F10 (Secondary) Remarks: 15 pages The source file(s), AFPP.tex: 38299 bytes, is(are) stored in gzipped form as 0510563.gz with size 10kb. The corresponding postcript file has gzipped size 62kb. Submitted from: leustean at mathematik.tu-darmstadt.de The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0510563 or http://arXiv.org/abs/math.FA/0510563 or by email in unzipped form by transmitting an empty message with subject line uget 0510563 or in gzipped form by using subject line get 0510563 to: math at arXiv.org.

From alspach at www.math.okstate.edu Thu Oct 27 08:34:11 2005 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 j9RDYB5i026330; Thu, 27 Oct 2005 08:34:11 -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 j9RDYBYm026329; Thu, 27 Oct 2005 08:34:11 -0500 (CDT) (envelope-from alspach) Date: Thu, 27 Oct 2005 08:34:11 -0500 (CDT) From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200510271334.j9RDYBYm026329 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu Subject: Abstract of a paper by Subhash Khot and Assaf Naor Status: R

This is an announcement for the paper "Nonembeddability theorems via Fourier analysis" by Subhash Khot and Assaf Naor. Abstract: Various new nonembeddability results (mainly into $L_1$) are proved via Fourier analysis. In particular, it is shown that the Edit Distance on $\{0,1\}^d$ has $L_1$ distortion $(\log d)^{\frac12-o(1)}$. We also give new lower bounds on the $L_1$ distortion of flat tori, quotients of the discrete hypercube under group actions, and the transportation cost (Earthmover) metric. Archive classification: Functional Analysis; Metric Geometry Mathematics Subject Classification: 46B20; 68U05 Remarks: With an appendix on quantitative estimates in Bourgain's noise The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0510547 or http://arXiv.org/abs/math.FA/0510547 or by email in unzipped form by transmitting an empty message with subject line uget 0510547 or in gzipped form by using subject line get 0510547 to: math at arXiv.org.

From alspach at www.math.okstate.edu Fri Oct 28 14:59:48 2005 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 j9SJxmD7061335; Fri, 28 Oct 2005 14:59:48 -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 j9SJxmEF061334; Fri, 28 Oct 2005 14:59:48 -0500 (CDT) (envelope-from alspach) Date: Fri, 28 Oct 2005 14:59:48 -0500 (CDT) From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200510281959.j9SJxmEF061334 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 A. Zsak Status: R

This is an announcement for the paper "Partial Unconditionality" by S. J. Dilworth, E. Odell, Th. Schlumprecht and A. Zsak. Abstract: J. Elton proved that every normalized weakly null sequence in a Banach space admits a subsequence that is nearly unconditional which is a weak form of unconditionality. The notion of near-unconditionality is quantified by a constant $K(\delta)$ depending on a parameter $\delta \in (0,1]$. It is unknown if $\sup_{\delta>0} K(\delta) < \infty$. This problem turns out to be closely related to the question whether every infinite-dimensional Banach space contains a quasi-greedy basic sequence. The notion of a quasi-greedy basic sequence was introduced recently by S. V. Konyagin and V. N. Temlyakov. We present an extension of Elton's result which includes Schreier unconditionality. The proof involves a basic framework which we show can be also employed to prove other partial unconditionality results including that of convex unconditionality due to Argyros, Mercourakis and Tsarpalias. Various constants of partial unconditionality are defined and we investigate the relationships between them. We also explore the combinatorial problem underlying the $\sup_{\delta>0} K(\delta) < \infty$ problem and show that $\sup_{\delta>0} K(\delta) > 5/4$. Archive classification: Functional Analysis Mathematics Subject Classification: 46B15 Remarks: 50 pages The source file(s), partial_unconditionality.tex: 175575 bytes, is(are) stored in gzipped form as 0510609.gz with size 46kb. The corresponding postcript file has gzipped size 196kb. 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/0510609 or http://arXiv.org/abs/math.FA/0510609 or by email in unzipped form by transmitting an empty message with subject line uget 0510609 or in gzipped form by using subject line get 0510609 to: math at arXiv.org.

From alspach at www.math.okstate.edu Fri Oct 28 15:01:10 2005 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 j9SK1ATO061396; Fri, 28 Oct 2005 15:01:10 -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 j9SK19Kh061395; Fri, 28 Oct 2005 15:01:09 -0500 (CDT) (envelope-from alspach) Date: Fri, 28 Oct 2005 15:01:09 -0500 (CDT) From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200510282001.j9SK19Kh061395 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu Subject: Abstract of a paper by D. Azagra and M. Jimenez-Sevilla Status: R

This is an announcement for the paper "Approximation by smooth functions with no critical points on separable Banach spaces" by D. Azagra and M. Jimenez-Sevilla. Abstract: We characterize the class of separable Banach spaces $X$ such that for every continuous function $f:X\to\mathbb{R}$ and for every continuous function $\varepsilon:X\to\mathbb(0,+\infty)$ there exists a $C^1$ smooth function $g:X\to\mathbb{R}$ for which $|f(x)-g(x)|\leq\varepsilon(x)$ and $g'(x)\neq 0$ for all $x\in X$ (that is, $g$ has no critical points), as those Banach spaces $X$ with separable dual $X^*$. We also state sufficient conditions on a separable Banach space so that the function $g$ can be taken to be of class $C^p$, for $p=1,2,..., +\infty$. In particular, we obtain the optimal order of smoothness of the approximating functions with no critical points on the classical spaces $\ell_p(\mathbb{N})$ and $L_p(\mathbb{R}^n)$. Some important consequences of the above results are (1) the existence of {\em a non-linear Hahn-Banach theorem} and (2) the smooth approximation of closed sets, on the classes of spaces considered above. Archive classification: Functional Analysis; Differential Geometry Mathematics Subject Classification: 46B20; 46T30; 58E05; 58C25 Remarks: 34 pages The source file(s), critical270905.tex: 127379 bytes, separable2argument.eps: 46690 bytes, separable3argument.eps: 48762 bytes, separable3bargument.eps: 48459 bytes, sinbase2.eps: 47562 bytes, is(are) stored in gzipped form as 0510603.tar.gz with size 90kb. The corresponding postcript file has gzipped size 220kb. Submitted from: daniel_azagra at mat.ucm.es The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0510603 or http://arXiv.org/abs/math.FA/0510603 or by email in unzipped form by transmitting an empty message with subject line uget 0510603 or in gzipped form by using subject line get 0510603 to: math at arXiv.org.

From alspach at www.math.okstate.edu Tue Nov 1 10:59:02 2005 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 jA1Gx2GG017176; Tue, 1 Nov 2005 10:59:02 -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 jA1Gx2wV017175; Tue, 1 Nov 2005 10:59:02 -0600 (CST) (envelope-from alspach) Date: Tue, 1 Nov 2005 10:59:02 -0600 (CST) From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200511011659.jA1Gx2wV017175 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 "Cone monotone mappings: continuity and differentiability" by Jakub Duda. Abstract: We generalize some results of Borwein, Burke, Lewis, and Wang to mappings with values in metric (resp. ordered normed linear) spaces. We define two classes of monotone mappings between an ordered linear space and a metric space (resp. ordered linear space): $K$-monotone dominated and cone-to-cone monotone mappings. First we show some relationships between these classes. Then, we study continuity and differentiability (also in the metric and $w^*$ senses) of mappings in these classes. Archive classification: Functional Analysis Mathematics Subject Classification: 46T20; 26B25 Remarks: 13 page; better abstract The source file(s), domdif_prep.tex: 55009 bytes, is(are) stored in gzipped form as 0510678.gz with size 16kb. The corresponding postcript file has gzipped size 56kb. 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/0510678 or http://arXiv.org/abs/math.FA/0510678 or by email in unzipped form by transmitting an empty message with subject line uget 0510678 or in gzipped form by using subject line get 0510678 to: math at arXiv.org.

From alspach at www.math.okstate.edu Thu Nov 3 07:16:31 2005 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 jA3DGUbo039901; Thu, 3 Nov 2005 07:16:30 -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 jA3DGU4c039900; Thu, 3 Nov 2005 07:16:30 -0600 (CST) (envelope-from alspach) Date: Thu, 3 Nov 2005 07:16:30 -0600 (CST) From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200511031316.jA3DGU4c039900 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu Subject: Abstract of a paper by Bas Lemmens, Beata Randrianantoanina, and Onno van Gaans Status: R

This is an announcement for the paper "Second derivatives of norms and contractive complementation in vector-valued spaces" by Bas Lemmens, Beata Randrianantoanina, and Onno van Gaans. Abstract: We consider 1-complemented subspaces (ranges of contractive projections) of vector-valued spaces $\ell_p(X)$, where $X$ is a Banach space with a 1-unconditional basis and $p \in (1,2)\cup (2,\infty)$. If the norm of $X$ is twice continuously differentiable and satisfies certain conditions connecting the norm and the notion of disjointness with respect to the basis, then we prove that every 1-complemented subspace of $\ell_p(X)$ admits a basis of mutually disjoint elements. Moreover, we show that every contractive projection is then an averaging operator. We apply our results to the space $\ell_p(\ell_q)$ with $p,q\in (1,2)\cup (2,\infty)$ and obtain a complete characterization of its 1-complemented subspaces. Archive classification: Functional Analysis Mathematics Subject Classification: 46B45, 46B04 (Primary) 47B37 (Secondary) Remarks: 22 pages, LaTeX The source file(s), lplqsub.tex: 52714 bytes, is(are) stored in gzipped form as 0511044.gz with size 15kb. The corresponding postcript file has gzipped size 80kb. Submitted from: lemmens at maths.warwick.ac.uk The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0511044 or http://arXiv.org/abs/math.FA/0511044 or by email in unzipped form by transmitting an empty message with subject line uget 0511044 or in gzipped form by using subject line get 0511044 to: math at arXiv.org.

From alspach at www.math.okstate.edu Mon Nov 7 06:25:06 2005 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 jA7CP5fC024659; Mon, 7 Nov 2005 06:25:05 -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 jA7CP5bI024658; Mon, 7 Nov 2005 06:25:05 -0600 (CST) (envelope-from alspach) Date: Mon, 7 Nov 2005 06:25:05 -0600 (CST) From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200511071225.jA7CP5bI024658 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu Subject: Abstract of a paper by Aaron Zerhusen Status: R

This is an announcement for the paper "An embedding theorem for pseudoconvex domains in Banach spaces" by Aaron Zerhusen. Abstract: We show that a pseudoconvex open subset of a Banach space with an unconditional basis is biholomorphic to a closed direct submanifold of a Banach space with an unconditional basis. Archive classification: Complex Variables; Functional Analysis Mathematics Subject Classification: 32T; 46G20 Remarks: 14 pages The source file(s), zerhusen.tex: 30421 bytes, is(are) stored in gzipped form as 0511095.gz with size 10kb. The corresponding postcript file has gzipped size 60kb. Submitted from: azerhus at math.purdue.edu The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.CV/0511095 or http://arXiv.org/abs/math.CV/0511095 or by email in unzipped form by transmitting an empty message with subject line uget 0511095 or in gzipped form by using subject line get 0511095 to: math at arXiv.org.

From alspach at www.math.okstate.edu Tue Nov 8 15:13:29 2005 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 jA8LDTF2004537; Tue, 8 Nov 2005 15:13:29 -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 jA8LDTLl004536; Tue, 8 Nov 2005 15:13:29 -0600 (CST) (envelope-from alspach) Date: Tue, 8 Nov 2005 15:13:29 -0600 (CST) From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200511082113.jA8LDTLl004536 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 "Real hereditarily indecomposable Banach spaces and uniqueness of complex structure" by Valentin Ferenczi. Abstract: There exists a real hereditarily indecomposable Banach space $X$ such that the quotient space $L(X)/S(X)$ by strictly singular operators is isomorphic to the complex field (resp. to the quaternionic division algebra). Up to isomorphism, the example with complex quotient space has exactly two complex structures, which are conjugate, totally incomparable, and both hereditarily indecomposable; this extends results of J. Bourgain and S. Szarek from 1986. The quaternionic example, on the other hand, has unique complex structure up to isomorphism; there also exists a space with an unconditional basis, non isomorphic to $l_2$, which admits a unique complex structure. These examples answer a question of Szarek. Archive classification: Functional Analysis Mathematics Subject Classification: 46B03; 46B04; 47B99 Remarks: 29 pages The source file(s), cplexstructure_ferenczi.tex: 70811 bytes, is(are) stored in gzipped form as 0511166.gz with size 22kb. The corresponding postcript file has gzipped size 87kb. 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/0511166 or http://arXiv.org/abs/math.FA/0511166 or by email in unzipped form by transmitting an empty message with subject line uget 0511166 or in gzipped form by using subject line get 0511166 to: math at arXiv.org.

From alspach at www.math.okstate.edu Tue Nov 8 15:15:29 2005 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 jA8LFTIN004597; Tue, 8 Nov 2005 15:15:29 -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 jA8LFTIJ004596; Tue, 8 Nov 2005 15:15:29 -0600 (CST) (envelope-from alspach) Date: Tue, 8 Nov 2005 15:15:29 -0600 (CST) From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200511082115.jA8LFTIJ004596 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 "On the number of non permutatively equivalent sequences in a Banach space" by Valentin Ferenczi. Abstract: This paper contains results concerning the Borel reduction of the relation $E_0$ of eventual agreement between sequences of $0$'s and $1$'s, to the relation of permutative equivalence between basic sequences in a Banach space. For more clarity in this abstract, we state these results in terms of classification by real numbers. If $R$ is some (analytic) equivalence relation on a Polish space $X$, it is said that $R$ is classifiable (by real numbers) if there exists a Borel map $g$ from $X$ into the real line such that $x R x'$ if and only if $g(x)=g(x')$. If $R$ is not classifiable, there must be $2^{\omega}$ $R$-classes. It is conjectured that any separable Banach space such that isomorphism between its subspaces is classifiable must be isomorphic to $l_2$. We prove the following results: - the relation $\sim^{perm}$ of permutative equivalence between normalized basic sequences is analytic non Borel, - if $X$ is a Banach space with a Schauder basis $(e_n)$, such that $\sim^{perm}$ between normalized block-sequences of $X$ is classifiable, then $X$ is $c_0$ or $\ell_p$ saturated for some $1 \leq p <+\infty$, - if $(e_n)$ is shrinking unconditional, and $\sim^{perm}$ between normalized disjointly supported sequences in $X$, resp. in $X^*$, are classifiable, then $(e_n)$ is equivalent to the unit vector basis of $c_0$ or $\ell_p$, - if $(e_n)$ is unconditional, then either $X$ is isomorphic to $l_2$, or $X$ contains $2^{\omega}$ subspaces or $2^{\omega}$ quotients which are spanned by pairwise non permutatively equivalent normalized unconditional bases. Archive classification: Functional Analysis Mathematics Subject Classification: 46B03; 03E15 Remarks: 28 pages The source file(s), permutative_ferenczi.tex: 72505 bytes, is(are) stored in gzipped form as 0511170.gz with size 21kb. The corresponding postcript file has gzipped size 81kb. 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/0511170 or http://arXiv.org/abs/math.FA/0511170 or by email in unzipped form by transmitting an empty message with subject line uget 0511170 or in gzipped form by using subject line get 0511170 to: math at arXiv.org.

From banach-bounces at math.okstate.edu Thu Nov 10 08:28:11 2005 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 jAAESBwG053046 for <alspach at www.math.okstate.edu>; Thu, 10 Nov 2005 08:28:11 -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 135073F6BB; Thu, 10 Nov 2005 08:28:11 -0600 (CST) Received: from mail.math.okstate.edu (localhost [127.0.0.1]) by mail.math.okstate.edu (Postfix) with ESMTP id 936BF3F6A5; Thu, 10 Nov 2005 08:28:10 -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 54F093F6B6 for <banach at math.okstate.edu>; Thu, 10 Nov 2005 08:28:09 -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 E552E3F64E for <banach at math.okstate.edu>; Thu, 10 Nov 2005 08:28:08 -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 jAAEQ3FD022809 for <banach at math.okstate.edu>; Thu, 10 Nov 2005 08:26:03 -0600 Message-Id: <200511101426.jAAEQ3FD022809 at ms417l.math.okstate.edu> To: banach at math.okstate.edu MIME-Version: 1.0 Content-ID: <22807.1131632763.1 at ms417l.math.okstate.edu> Date: Thu, 10 Nov 2005 08:26:03 -0600 From: Dale Alspach <alspach at math.okstate.edu> X-Virus-Scanned: ClamAV using ClamSMTP Subject: [Banach] Activities In honor of Bill Johnson's 60th Birthday X-BeenThere: banach at math.okstate.edu X-Mailman-Version: 2.1.6 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

In honor of Bill Johnson's 60th birthday we have organized an /AMS Special Session on Extension of Functions/ <http://www.ams.org/amsmtgs/2095_program_ss5.html#title> at the 2006 Joint Mathematics Meeting in San Antonio, Texas. There will be a banquet on Thursday, January 12, at Biga's on the Bank <http://www.biga.com/> (*located on the River Walk, 203 South St. Mary's St, San Antonio, Texas 78205* ) starting at 7:00 pm. Biga's is a modern-American restaurant and its menu is inspired by the cuisines of Mexico and Asia. The price of the banquet is $20.00 and it is being supported in part by Texas A&M University. Please note that space is limited for the banquet and we are asking for attendees to register for it in advance. If you plan to attend, please send an email message to any of us Alvaro Arias aarias at math.du.edu <mailto:aarias at math.du.edu> Edward W. Odell odell at math.utexas.edu <mailto:odell at math.utexas.edu> Thomas Schlumprecht schlump at math.tamu.edu <mailto:schlump at math.tamu.edu> You can find more information at the website www.math.du.edu/~aarias/bill.htm _______________________________________________ Banach mailing list Banach at math.okstate.edu http://mail.math.okstate.edu/mailman/listinfo/banach

From banach-bounces at math.okstate.edu Thu Nov 10 08:29:44 2005 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 jAAETi0G053052 for <alspach at www.math.okstate.edu>; Thu, 10 Nov 2005 08:29:44 -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 C3F883F6BE; Thu, 10 Nov 2005 08:29:43 -0600 (CST) Received: from mail.math.okstate.edu (localhost [127.0.0.1]) by mail.math.okstate.edu (Postfix) with ESMTP id 5D9233F6A7; Thu, 10 Nov 2005 08:29:43 -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 430C33F69F for <banach at math.okstate.edu>; Wed, 9 Nov 2005 22:04:30 -0600 (CST) Received: from mpv4.tis.cwru.edu (mpv4.TIS.CWRU.Edu [129.22.105.34]) (using TLSv1 with cipher DES-CBC3-SHA (168/168 bits)) (No client certificate requested) by mail.math.okstate.edu (Postfix) with ESMTP id 18E943F64E for <banach at math.okstate.edu>; Wed, 9 Nov 2005 22:04:30 -0600 (CST) Received: from [192.168.0.3] (d149-67-100-85.clv.wideopenwest.com [67.149.85.100]) by mpv4.tis.cwru.edu (MOS 3.6.4-CR) with ESMTP id ADP02844 (AUTH sjs13); Wed, 9 Nov 2005 23:04:27 -0500 (EST) Mime-Version: 1.0 X-Sender: sjs13 at po.cwru.edu (Unverified) Message-Id: <a06020404bf9871ceb20f at [192.168.0.3]> Date: Wed, 9 Nov 2005 23:04:25 -0500 To: banach at math.okstate.edu From: "Stanislaw J. Szarek" <sjs13 at po.cwru.edu> X-Virus-Scanned: ClamAV using ClamSMTP X-Mailman-Approved-At: Thu, 10 Nov 2005 08:29:42 -0600 X-Content-Filtered-By: Mailman/MimeDel 2.1.6 Subject: [Banach] Positions at Case X-BeenThere: banach at math.okstate.edu X-Mailman-Version: 2.1.6 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

(This announcement, with additional active hyperlinks, is also accessible via http://www.case.edu/artsci/dean/searches/ ) The Department of Mathematics in the College of Arts & Sciences at Case Western Reserve University invites applications for one or more faculty positions. Although rank is open and commensurate with qualifications, we prefer to appoint at the rank of assistant professor. We especially emphasize coordination with Department, College and University goals, including undergraduate teaching in the University's SAGES (Seminar Approach to General Education and Scholarship) program. Areas of preference identified to complement existing department activities include: (1) Functional analysis, convexity theory and related high-dimensional phenomena, the area that recently has been often referred to as "asymptotic geometric analysis" and of which members of the Department are internationally recognized leaders. See http://www.cwru.edu/artsci/math/szarek/ and http://www.cwru.edu/artsci/math/werner/ for examples of recent research directions. Besides hires that would directly augment this research, the Department envisions expanding into related areas of non-commutative geometry/functional analysis or even theoretical computer science or complexity theory. (2) Probability theory. Areas currently represented in the Department include large deviation theory and stochastic differential equations. As indicated on our website, the Department has researchers in a number of mathematical fields, and a candidate's potential ability to interact and collaborate with colleagues in other areas of mathematics will be regarded as a valuable asset. Candidates are invited to address this point. Case has strong presences in biomedical, engineering and other scientific areas and, in addition to strong theoretical credentials, a candidate's potential ability to interact and collaborate with colleagues in other disciplines will also be regarded as a valuable asset. Notwithstanding the above, (3) exceptionally strong candidates in other areas will be considered. Depending on needs, (4) visiting positions/instructorships/lectureships may also be open. Indicate in which area you wish to be considered. The successful candidate will hold the Ph.D. or equivalent (Masters for lectureship) and have, relative to career stage, a distinguished record of publication, research, service, and teaching. Compensation commensurate with qualifications. Case is an integral part of one of the major research medical complexes in the country. It also has a major presence in various science and engineering disciplines. Geographically, it is located on the eastern edge of Cleveland, in northeast Ohio, adjacent to University Circle, home to the Cleveland Symphony Orchestra, the Cleveland Museum of Art, and many other cultural institutions. There is a wide variety of housing, schooling, and other amenities nearby. The Department has approximately 20 faculty, with several focused research areas. The Department is responsible for service (beginning with calculus), majors, and graduate instruction. Nominal teaching load is 2/2. The Department has a dedicated 8 CPU computational server with an SGI 3D graphics front end. Facilities of the Ohio Supercomputer Center are also available. Electronic applications only, to: James Alexander, math-faculty-position at case.edu, consisting of a letter of application, which indicates in which area of preference you wish to be considered, AMS cover sheet, a c.v., and the names and contact information for four referees to whom we may write. Evaluation of applications will begin December 15, 2005. Case is a recipient of a National Science Foundation ADVANCE institutional transformation grant to increase the participation of women in science and engineering. Case Western Reserve University is committed to diversity and is an affirmative action, equal opportunity employer. Applications from women or minorities are especially encouraged. _______________________________________________ Banach mailing list Banach at math.okstate.edu http://mail.math.okstate.edu/mailman/listinfo/banach

From alspach at www.math.okstate.edu Sat Nov 19 19:29:59 2005 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 jAK1Tx6Y003290; Sat, 19 Nov 2005 19:29:59 -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 jAK1Twnu003289; Sat, 19 Nov 2005 19:29:58 -0600 (CST) (envelope-from alspach) Date: Sat, 19 Nov 2005 19:29:58 -0600 (CST) From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200511200129.jAK1Twnu003289 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu Subject: Abstract of a paper by Julien Melleray Status: R

This is an announcement for the paper "Computing the complexity of the relation of isometry between separable Banach spaces" by Julien Melleray. Abstract: We compute here the Borel complexity of the relation of isometry between separable Banach spaces, using results of Gao, Kechris and Weaver. Archive classification: Functional Analysis; Logic Mathematics Subject Classification: 03E15 The source file(s), melleray_banachisometries.tex: 34260 bytes, is(are) stored in gzipped form as 0511456.gz with size 11kb. The corresponding postcript file has gzipped size 54kb. Submitted from: melleray at math.jussieu.fr The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0511456 or http://arXiv.org/abs/math.FA/0511456 or by email in unzipped form by transmitting an empty message with subject line uget 0511456 or in gzipped form by using subject line get 0511456 to: math at arXiv.org.

From alspach at www.math.okstate.edu Mon Dec 5 07:21:24 2005 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 jB5DLOap059095; Mon, 5 Dec 2005 07:21:24 -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 jB5DLORb059094; Mon, 5 Dec 2005 07:21:24 -0600 (CST) (envelope-from alspach) Date: Mon, 5 Dec 2005 07:21:24 -0600 (CST) From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200512051321.jB5DLORb059094 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; added name The source file(s), stronger_stepanoff.tex: 48652 bytes, is(are) stored in gzipped form as 0511565.gz with size 15kb. 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 Mon Dec 5 07:24:28 2005 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 jB5DOS7R059153; Mon, 5 Dec 2005 07:24:28 -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 jB5DOSsk059152; Mon, 5 Dec 2005 07:24:28 -0600 (CST) (envelope-from alspach) Date: Mon, 5 Dec 2005 07:24:28 -0600 (CST) From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200512051324.jB5DOSsk059152 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu Subject: Abstract of a paper by Manor Mendel and Assaf Naor Status: R

This is an announcement for the paper "Ramsey partitions and proximity data structures" by Manor Mendel and Assaf Naor. Abstract: This paper addresses two problems lying at the intersection of geometric analysis and theoretical computer science: The non-linear isomorphic Dvoretzky theorem and the design of good approximate distance oracles for large distortion. We introduce the notion of Ramsey partitions of a finite metric space, and show that the existence of good Ramsey partitions implies a solution to the metric Ramsey problem for large distortion (a.k.a. the non-linear version of the isomorphic Dvoretzky theorem, as introduced by Bourgain, Figiel, and Milman in \cite{BFM86}). We then proceed to construct optimal Ramsey partitions, and use them to show that for every $\e\in (0,1)$, any $n$-point metric space has a subset of size $n^{1-\e}$ which embeds into Hilbert space with distortion $O(1/\e)$. This result is best possible and improves part of the metric Ramsey theorem of Bartal, Linial, Mendel and Naor \cite{BLMN05}, in addition to considerably simplifying its proof. We use our new Ramsey partitions to design the best known approximate distance oracles when the distortion is large, closing a gap left open by Thorup and Zwick in \cite{TZ05}. Namely, we show that for any $n$ point metric space $X$, and $k\geq 1$, there exists an $O(k)$-approximate distance oracle whose storage requirement is $O(n^{1+1/k})$, and whose query time is a universal constant. We also discuss applications of Ramsey partitions to various other geometric data structure problems, such as the design of efficient data structures for approximate ranking. Archive classification: Data Structures and Algorithms; Computational Geometry; Metric Geometry; Functional Analysis The source file(s), , is(are) stored in gzipped form as with size . The corresponding postcript file has gzipped size . Submitted from: anaor at microsoft.com The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/cs.DS/0511084 or http://arXiv.org/abs/cs.DS/0511084 or by email in unzipped form by transmitting an empty message with subject line uget 11084 or in gzipped form by using subject line get 11084 to: math at arXiv.org.

From alspach at www.math.okstate.edu Mon Dec 5 07:25:26 2005 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 jB5DPQ6d059197; Mon, 5 Dec 2005 07:25:26 -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 jB5DPQ9Q059196; Mon, 5 Dec 2005 07:25:26 -0600 (CST) (envelope-from alspach) Date: Mon, 5 Dec 2005 07:25:26 -0600 (CST) From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200512051325.jB5DPQ9Q059196 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 "Generalized intersection bodies" by Emanuel Milman. Abstract: We study the structures of two types of generalizations of intersection-bodies and the problem of whether they are in fact equivalent. Intersection-bodies were introduced by Lutwak and played a key role in the solution of the Busemann-Petty problem. A natural geometric generalization of this problem considered by Zhang, led him to introduce one type of generalized intersection-bodies. A second type was introduced by Koldobsky, who studied a different analytic generalization of this problem. Koldobsky also studied the connection between these two types of bodies, and noted that an equivalence between these two notions would completely settle the unresolved cases in the generalized Busemann-Petty problem. We show that these classes share many identical structure properties, proving the same results using Integral Geometry techniques for Zhang's class and Fourier transform techniques for Koldobsky's class. Using a Functional Analytic approach, we give several surprising equivalent formulations for the equivalence problem, which reveal a deep connection to several fundamental problems in the Integral Geometry of the Grassmann Manifold. Archive classification: Functional Analysis; Geometric Topology; Metric Geometry Remarks: 44 pages The source file(s), generalized-intersection-bodies-for-arxiv.bbl: 6010 bytes, generalized-intersection-bodies-for-arxiv.tex: 129282 bytes, is(are) stored in gzipped form as 0512058.tar.gz with size 38kb. The corresponding postcript file has gzipped size 159kb. 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/0512058 or http://arXiv.org/abs/math.FA/0512058 or by email in unzipped form by transmitting an empty message with subject line uget 0512058 or in gzipped form by using subject line get 0512058 to: math at arXiv.org.

From banach-bounces at math.okstate.edu Thu Dec 8 08:37:54 2005 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 jB8EbsA4009987 for <alspach at www.math.okstate.edu>; Thu, 8 Dec 2005 08:37:54 -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 E9DE53F6F8; Thu, 8 Dec 2005 08:37:53 -0600 (CST) Received: from mail.math.okstate.edu (localhost [127.0.0.1]) by mail.math.okstate.edu (Postfix) with ESMTP id 829F13F6C1; Thu, 8 Dec 2005 08:37:53 -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 E9C263F6E7 for <banach at math.okstate.edu>; Wed, 7 Dec 2005 19:24:43 -0600 (CST) Received: from mscan1.math.kent.edu (mscan1.math.kent.edu [131.123.47.3]) (using TLSv1 with cipher DHE-RSA-AES256-SHA (256/256 bits)) (No client certificate requested) by mail.math.okstate.edu (Postfix) with ESMTP id BDF223F6C1 for <banach at math.okstate.edu>; Wed, 7 Dec 2005 19:24:43 -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 jB81OgqD006360 for <banach at math.okstate.edu>; Wed, 7 Dec 2005 20:24:42 -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 03542-09 for <banach at math.okstate.edu>; Wed, 7 Dec 2005 20:24:21 -0500 (EST) Received: from webmail.math.kent.edu (camelot.math.kent.edu [131.123.47.16]) by mscan1.math.kent.edu (8.12.10/8.12.10) with ESMTP id jB81OKON006127 for <banach at math.okstate.edu>; Wed, 7 Dec 2005 20:24:20 -0500 Received: from 131.123.46.154 (SquirrelMail authenticated user zvavitch); by webmail.math.kent.edu with HTTP; Wed, 7 Dec 2005 20:24:20 -0500 (EST) Message-ID: <2893.131.123.46.154.1134005060.squirrel at webmail.math.kent.edu> Date: Wed, 7 Dec 2005 20:24:20 -0500 (EST) From: zvavitch at math.kent.edu To: banach at math.okstate.edu User-Agent: SquirrelMail/1.4.3a-11.EL3 X-Mailer: SquirrelMail/1.4.3a-11.EL3 MIME-Version: 1.0 X-Priority: 3 (Normal) Importance: Normal X-Virus-Scanned: by amavisd-new at math.kent.edu X-Virus-Scanned: ClamAV using ClamSMTP X-Mailman-Approved-At: Thu, 08 Dec 2005 08:37:52 -0600 Subject: [Banach] CBMS conference on A Probabalistic and Combinatorial Approach in Analysis X-BeenThere: banach at math.okstate.edu X-Mailman-Version: 2.1.6 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, In August 2006 (from the 6th to the 13th, to be precise), the Department of Mathematical Science of Kent State University will be hosting a CBMS conference, 'A Probabilistic and Combinatorial Approach in Analysis', with Professor Mark Rudelson from the University of Missouri as the main speaker. We hope that you will be able to participate. With CBMS funding we will be able to cover local expenses for a limited number of participants, so it is advisable to reply as soon as possible to Artem Zvavitch (zvavitch at math.kent.edu). At this time, we have very limited funding for travel; to be as efficient as possible in the use of the available travel funds, we encourage you to encourage your graduate students and postdocs to participate, as well. For further information and breaking news a look at http://www.math.kent.edu/math/CBMS.cfm is advised. Please note that your early response will help us gauge the needs for housing, lecture room(s), etc. We hope to be sending out information regarding housing by the end of December. HOPE TO SEE YOU IN KENT NEXT AUGUST!! 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 Tue Dec 13 11:51:17 2005 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 jBDHpGnP012119; Tue, 13 Dec 2005 11:51:16 -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 jBDHpGYj012118; Tue, 13 Dec 2005 11:51:16 -0600 (CST) (envelope-from alspach) Date: Tue, 13 Dec 2005 11:51:16 -0600 (CST) From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200512131751.jBDHpGYj012118 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 "Dual mixed volumes and the slicing problem" by Emanuel Milman. Abstract: We develop a technique using dual mixed-volumes to study the isotropic constants of some classes of spaces. In particular, we recover, strengthen and generalize results of Ball and Junge concerning the isotropic constants of subspaces and quotients of L_p and related spaces. An extension of these results to negative values of p is also obtained, using generalized intersection-bodies. In particular, we show that the isotropic constant of a convex body which is contained in an intersection-body is bounded (up to a constant) by the ratio between the latter's mean-radius and the former's volume-radius. We also show how type or cotype 2 may be used to easily prove inequalities on any isotropic measure. Archive classification: Functional Analysis; Metric Geometry Remarks: 38 pages, to appear in Advance in Mathematics The source file(s), dual-mixed-volumes-and-slicing-problem-for-arxiv.bbl: 7985 bytes, dual-mixed-volumes-and-slicing-problem-for-arxiv.tex: 94404 bytes, is(are) stored in gzipped form as 0512207.tar.gz with size 29kb. The corresponding postcript file has gzipped size 130kb. 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/0512207 or http://arXiv.org/abs/math.FA/0512207 or by email in unzipped form by transmitting an empty message with subject line uget 0512207 or in gzipped form by using subject line get 0512207 to: math at arXiv.org.

From alspach at www.math.okstate.edu Tue Dec 13 11:51:55 2005 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 jBDHptGe012150; Tue, 13 Dec 2005 11:51:55 -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 jBDHptka012149; Tue, 13 Dec 2005 11:51:55 -0600 (CST) (envelope-from alspach) Date: Tue, 13 Dec 2005 11:51:55 -0600 (CST) From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200512131751.jBDHptka012149 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 comment on the low-dimensional Busemann-Petty problem" by Emanuel Milman. Abstract: The generalized Busemann-Petty problem asks whether centrally-symmetric convex bodies having larger volume of all m-dimensional sections necessarily have larger volume. When m>3 this is known to be false, but the cases m=2,3 are still open. In those cases, it is shown that when the smaller body's radial function is a (n-m)-th root of the radial function of a convex body, the answer to the generalized Busemann-Petty problem is positive (for any larger star-body). Several immediate corollaries of this observation are also discussed. Archive classification: Functional Analysis; Metric Geometry Remarks: 9 pages, to appear in GAFA Seminar Notes The source file(s), low-dim-BP-problem.bbl: 4623 bytes, low-dim-BP-problem.tex: 24305 bytes, is(are) stored in gzipped form as 0512208.tar.gz with size 10kb. The corresponding postcript file has gzipped size 53kb. 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/0512208 or http://arXiv.org/abs/math.FA/0512208 or by email in unzipped form by transmitting an empty message with subject line uget 0512208 or in gzipped form by using subject line get 0512208 to: math at arXiv.org.

From alspach at www.math.okstate.edu Wed Dec 14 16:19:42 2005 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 jBEMJgao025391; Wed, 14 Dec 2005 16:19:42 -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 jBEMJgAl025390; Wed, 14 Dec 2005 16:19:42 -0600 (CST) (envelope-from alspach) Date: Wed, 14 Dec 2005 16:19:42 -0600 (CST) From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200512142219.jBEMJgAl025390 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu Subject: Abstract of a paper by Assaf Naor and Gideon Schechtman Status: R

This is an announcement for the paper "Planar earthmover is not in $L_1$" by Assaf Naor and Gideon Schechtman. Abstract: We show that any $L_1$ embedding of the transportation cost (a.k.a. Earthmover) metric on probability measures supported on the grid $\{0,1,...,n\}^2\subseteq \R^2$ incurs distortion $\Omega(\sqrt{\log n})$. We also use Fourier analytic techniques to construct a simple $L_1$ embedding of this space which has distortion $O(\log n)$. Archive classification: Computational Geometry; Functional Analysis The source file(s), , is(are) stored in gzipped form as with size . The corresponding postcript file has gzipped size . Submitted from: anaor at microsoft.com The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/cs.CG/0509074 or http://arXiv.org/abs/cs.CG/0509074 or by email in unzipped form by transmitting an empty message with subject line uget 09074 or in gzipped form by using subject line get 09074 to: math at arXiv.org.

From alspach at www.math.okstate.edu Thu Dec 15 08:21:44 2005 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 jBFELiCT034586; Thu, 15 Dec 2005 08:21:44 -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 jBFELiCk034585; Thu, 15 Dec 2005 08:21:44 -0600 (CST) (envelope-from alspach) Date: Thu, 15 Dec 2005 08:21:44 -0600 (CST) From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200512151421.jBFELiCk034585 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu Subject: Abstract of a paper by Catalin Badea and Vladimir Mueller Status: R

This is an announcement for the paper "Growth conditions and inverse producing extensions" by Catalin Badea and Vladimir Mueller. Abstract: We study the invertibility of Banach algebras elements in their extensions, and invertible extensions of Banach and Hilbert space operators with prescribed growth conditions for the norm of inverses. As applications, the solutions of two open problems are obtained. In the first one we give a characterization of E(T)-subscalar operators in terms of growth conditions. In the second one we show that operators satisfying a Beurling-type growth condition possess Bishop's property beta. Other applications are also given. Archive classification: Functional Analysis; Operator Algebras Remarks: 22 pages The source file(s), bm1arx.tex: 60879 bytes, is(are) stored in gzipped form as 0512321.gz with size 19kb. The corresponding postcript file has gzipped size 90kb. Submitted from: catalin.badea at math.univ-lille1.fr The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0512321 or http://arXiv.org/abs/math.FA/0512321 or by email in unzipped form by transmitting an empty message with subject line uget 0512321 or in gzipped form by using subject line get 0512321 to: math at arXiv.org.

From banach-bounces at math.okstate.edu Tue Dec 20 17:19:05 2005 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 jBKNJ5UX096031 for <alspach at www.math.okstate.edu>; Tue, 20 Dec 2005 17:19:05 -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 C45C03F689; Tue, 20 Dec 2005 17:19:04 -0600 (CST) Received: from mail.math.okstate.edu (localhost [127.0.0.1]) by mail.math.okstate.edu (Postfix) with ESMTP id 5B45D3F67C; Tue, 20 Dec 2005 17:19:04 -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 9C4343F677 for <banach at mail.math.okstate.edu>; Tue, 20 Dec 2005 17:19:03 -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 81B593F673 for <banach at mail.math.okstate.edu>; Tue, 20 Dec 2005 17:19:03 -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 jBKNJ3ha009020 for <banach>; Tue, 20 Dec 2005 17:19:03 -0600 Message-Id: <200512202319.jBKNJ3ha009020 at ms417l.math.okstate.edu> To: banach at math.okstate.edu MIME-Version: 1.0 Content-ID: <9018.1135120743.1 at ms417l.math.okstate.edu> Date: Tue, 20 Dec 2005 17:19:03 -0600 From: Dale Alspach <alspach at math.okstate.edu> X-Virus-Scanned: ClamAV using ClamSMTP Subject: [Banach] Nicole Tomczak-Jaegerman: Recipient of the 2006 CRM-Fields-PIMS Prize X-BeenThere: banach at math.okstate.edu X-Mailman-Version: 2.1.6 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

(From PIMS) NICOLE TOMCZAK-JAEGERMAN: RECIPIENT OF THE 2006 CRM-FIELDS-PIMS PRIZE The directors of the Centre de recherches mathematiques (CRM) of l'Universite de Montreal - Francois Lalonde, the Fields Institute - Barbara Keyfitz, and the Pacific Institute for the Mathematical Sciences - Ivar Ekeland, are pleased to announce the awarding of the CRM-Fields-PIMS Prize for 2006 to Professor Nicole Tomczak-Jaegermann of the University of Alberta in recognition of her exceptional achievements in functional analysis and geometric analysis. The prize was established in 1994 as the CRM-Fields prize to recognize exceptional research in the mathematical sciences. In 2005, PIMS became an equal partner and the name was changed to the CRM-Fields-PIMS prize. A committee appointed by the three institutes chooses the recipient. Nicole Tomczak-Jaegermann, this year's recipient, is one of the world's leading mathematicians working in functional analysis. She has made outstanding contributions to infinite dimensional Banach space theory, asymptotic geometric analysis, and the interaction between these two streams of modern functional analysis. She holds a Canada Research Chair in Geometric Analysis at the University of Alberta. In 1998 she gave an invited lecture at the International Congress of Mathematicians, is a Fellow of the Royal Society of Canada, received a Killam Research Fellowship, and the Krieger-Nelson Prize Lectureship of the Canadian Mathematical Society. Previous recipients of the prize are H.S.M. (Donald) Coxeter, George A. Elliott, James Arthur, Robert V. Moody, Stephen A. Cook, Israel Michael Sigal, William T. Tutte, John B. Friedlander, John McKay, Edwin Perkins, Donald A. Dawson, and David Boyd. For more information please see http://www.pims.math.ca _______________________________________________ Banach mailing list Banach at math.okstate.edu http://mail.math.okstate.edu/mailman/listinfo/banach

From banach-bounces at math.okstate.edu Wed Dec 21 11:06:48 2005 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 jBLH6mwB005565 for <alspach at www.math.okstate.edu>; Wed, 21 Dec 2005 11:06:48 -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 634D43F685; Wed, 21 Dec 2005 11:06:48 -0600 (CST) Received: from mail.math.okstate.edu (localhost [127.0.0.1]) by mail.math.okstate.edu (Postfix) with ESMTP id EF4DD3F679; Wed, 21 Dec 2005 11:06:47 -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 22FF33F67B for <banach at math.okstate.edu>; Wed, 21 Dec 2005 10:28:55 -0600 (CST) Received: from vkiller.fau.edu (vkiller.fau.edu [131.91.20.18]) by mail.math.okstate.edu (Postfix) with SMTP id E558A3F677 for <banach at math.okstate.edu>; Wed, 21 Dec 2005 10:28:54 -0600 (CST) Received: from bertjr.fau.edu ([131.91.128.135]) by vkiller.fau.edu (SMSSMTP 4.1.9.35) with SMTP id M2005122111285324492 for <banach at math.okstate.edu>; Wed, 21 Dec 2005 11:28:53 -0500 Received: from happy (happy.fau.edu [131.91.128.175]) by bertjr.fau.edu (8.12.10+Sun/8.12.10) with SMTP id jBLGSrXK017622 for <banach at math.okstate.edu>; Wed, 21 Dec 2005 11:28:54 -0500 (EST) Message-ID: <875571.1135182533966.JavaMail.milman at fau.edu> Date: Wed, 21 Dec 2005 11:28:53 -0500 (EST) From: "Mario M. Milman" <milman at fau.edu> To: banach at math.okstate.edu Mime-Version: 1.0 X-Virus-Scanned: ClamAV using ClamSMTP X-Mailman-Approved-At: Wed, 21 Dec 2005 11:06:46 -0600 Subject: [Banach] Interpolation Theory and Applications: A Conference in Honor of Michael Cwikel X-BeenThere: banach at math.okstate.edu X-Mailman-Version: 2.1.6 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

Interpolation Theory and Applications: A Conference in Honor of Michael Cwikel More information: http://www.ams.org/mathcal/info/2006_mar29-31_coralgables.html _______________________________________________ Banach mailing list Banach at math.okstate.edu http://mail.math.okstate.edu/mailman/listinfo/banach