From alspach at hardy.math.okstate.edu Mon Jan 10 08:11:51 2000
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Return-Path: <owner-banach at mail.math.okstate.edu> Received: from mail.math.okstate.edu (IDENT:majordomo at mail.math.okstate.edu [139.78.112.5]) by hardy.math.okstate.edu (8.9.3/8.9.3) with ESMTP id IAA30878 for <alspach at hardy.math.okstate.edu>; Mon, 10 Jan 2000 08:05:36 -0600 Received: (from majordomo at localhost) by mail.math.okstate.edu (8.8.7/8.8.7) id IAA24502 for banach-list; Mon, 10 Jan 2000 08:14:32 -0600 X-Authentication-Warning: mail.math.okstate.edu: majordomo set sender to owner-banach at mail.math.okstate.edu using -f Received: (from mail at localhost) by mail.math.okstate.edu (8.8.7/8.8.7) id IAA24495 for <banach at math.okstate.edu>; Mon, 10 Jan 2000 08:14:28 -0600 Received: from hardy.math.okstate.edu(139.78.112.2) by mail.math.okstate.edu via smap (V2.1) id xma024490; Mon, 10 Jan 00 08:14:11 -0600 Received: from hardy.math.okstate.edu (localhost [127.0.0.1]) by hardy.math.okstate.edu (8.9.3/8.9.3) with ESMTP id IAA30495 for <banach at math.okstate.edu>; Mon, 10 Jan 2000 08:01:52 -0600 Message-Id: <200001101401.IAA30495 at hardy.math.okstate.edu> X-Mailer: exmh version 2.1.1 10/15/1999 To: banach at math.okstate.edu Reply-to: yoavb at techunix.technion.ac.il Subject: Publication announcement Mime-Version: 1.0 Content-Type: text/plain; charset=us-ascii Date: Mon, 10 Jan 2000 08:01:52 -0600 From: Dale Alspach <alspach at hardy.math.okstate.edu> Sender: owner-banach at mail.math.okstate.edu Precedence: bulk
We are glad to announce that our book GEOMETRIC NONLINEAR FUNCTIONAL ANALYSIS (Volume 1) has appeared as volume 48 in the series Amer. Math. Soc. Colloquium Publications. Below is the table of contents. Yoav Benyamini and Joram Lindenstrauss TABLE OF CONTENTS ================= Introduction 1 Chapter 1. Retractions, Extensions and Selections 11 1. Absolute Lipschitz Retracts 11 2. Extension of Maps on Hilbert Space 18 3. Michael's Selection Theorem 21 4. Lipschitz and Uniform Selections 26 5. Notes and Remarks 31 Chapter 2. Retractions, Extensions and Selections (Special Topics) 35 1. Approximation of Uniformly Continuous Functions 35 2. The Nearest Point Map 40 3. The Contraction Extension Property 44 4. The Steiner Point 48 5. Simultaneously Continuous Maps 53 6. Notes and Remarks 58 Chapter 3. Fixed Points 61 1. Continuous Maps 61 2. Lipschitz Maps 63 3. Nonexpansive Maps 65 4. Approximation of Fixed Points 70 5. Notes and Remarks 79 Chapter 4. Differentiation of Convex Functions 83 1. Basic Definitions and Results 83 2. Convex Functions 85 3. Notes and Remarks 96 Chapter 5. The Radon-Nikodym Property 99 1. Vector Measures and Integration of Vector- Valued Functions 99 2. The Radon-Nikodym Property 102 3. Differentiability, Trees and the RNP 110 4. Examples Related to the RNP 114 5. Notes and Remarks 121 Chapter 6. Negligible Sets and Gateaux Differentiability 125 1. Haar Null Sets 125 2. Gaussian Measures 135 3. Gauss Null Sets 141 4. Gateaux Differentiability of Lipschitz Functions 153 5. Examples Related to Frechet Differentiability 156 6. Notes and Remarks 161 7. Summary 166 Chapter 7. Lipschitz Classification of Banach Spaces 169 1. Linearization of Lipschitz Maps 169 2. Applications and Examples 174 3. Notes and Remarks 183 Chapter 8. Uniform Embeddings into Hilbert Space 185 1. Positive Definite and Negative Definite Functions 185 2. Uniform Embeddings into Hilbert Space 190 3. Notes and Remarks 195 Chapter 9. Uniform Classification of Spheres 197 1. The Mazur Map 197 2. Unit Spheres of Banach Lattices 199 3. Applications of the Complex Interpolation Method 204 4. Spheres and Balls 206 5. Stable Metrics 212 6. Notes and Remarks 215 Chapter 10. Uniform Classification of Banach Spaces 219 1. Reduction to Lipschitz and Linear Maps 219 2. Approximate Midpoints 229 3. Discrete Nets 236 4. Nonisomorphic Uniformly Homeomorphic Spaces 244 5. Uniform Types that Determine a Finite Number of Linear Structures 246 6. Notes and Remarks 253 Chapter 11. Nonlinear Quotient Maps 261 1. Surjective Lipschitz and Smooth Maps 261 2. Nonlinear Quotient Maps 268 3. Notes and Remarks 277 Chapter 12. Oscillation of Uniformly Continuous Functions on Unit Spheres of Finite- Dimensional Subspaces 281 1. Dvoretzky's Theorem 281 2. Krivine's Theorem 289 3. Notes and Remarks 298 Chapter 13. Oscillation of Uniformly Continuous Functions on Unit Spheres of Infinite- Dimensional Subspaces 301 1. Preliminary Results 301 2. Existence of Subspaces Isomorphic to $l_p$ or $c_0$ 307 3. Uniformly Continuous Functions on the Unit Sphere of $c_0$ 312 4. Asymptotic Biorthogonal Systems 320 5. Asymptotic Biorthogonal Systems in $l_p$ 328 6. Notes and Remarks 333 Chapter 14. Perturbations of Local Isometries 341 1. Isometries 341 2. Quasi-Isometries, Injectivity 343 3. Approximation of Quasi-Isometries by Isometries 348 4. Approximation of the Derivative 352 5. Notes and Remarks 356 Chapter 15. Perturbations of Global Isometries 359 1. The Hyers-Ulam Problem 359 2. Large Perturbations 363 3. Notes and Remarks 370 Chapter 16. Twisted Sums 373 1. Quasi-Linear Functions 373 2. Twisted Sums of Hilbert Spaces 380 3. Notes and Remarks 389 Chapter 17. Group Structure on Banach Spaces 391 1. Banach Groups 391 2. Hilbert's Fifth Problem in Infinite Dimension 399 3. Notes and Remarks 406 Appendices 409 A. Convexity 409 B. Partitions of Unity 416 C. Invariant Means 417 D. Measure and Probability 418 E. Bases and Lattices 429 F. Local Structure of Infinite-Dimensional Spaces 436 G. Quantitative Theory of Banach Spaces 440 H. Quasi-Normed Spaces 445 I. The Complex Interpolation Method 448 J. Operators on Hilbert Space 453 Bibliography 455 Index 481
From alspach at hardy.math.okstate.edu Tue Feb 8 19:16:19 2000
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Return-Path: <owner-banach at mail.math.okstate.edu> Received: from mail.math.okstate.edu (IDENT:majordomo at mail.math.okstate.edu [139.78.112.5]) by hardy.math.okstate.edu (8.9.3/8.9.3) with ESMTP id NAA27256 for <alspach at hardy.math.okstate.edu>; Tue, 8 Feb 2000 13:49:28 -0600 Received: (from majordomo at localhost) by mail.math.okstate.edu (8.8.7/8.8.7) id OAA04461 for banach-list; Tue, 8 Feb 2000 14:00:57 -0600 X-Authentication-Warning: mail.math.okstate.edu: majordomo set sender to owner-banach at mail.math.okstate.edu using -f Received: (from mail at localhost) by mail.math.okstate.edu (8.8.7/8.8.7) id OAA04457 for <banach at math.okstate.edu>; Tue, 8 Feb 2000 14:00:53 -0600 Received: from hardy.math.okstate.edu(139.78.112.2) by mail.math.okstate.edu via smap (V2.1) id xma004455; Tue, 8 Feb 00 14:00:47 -0600 Received: from hardy.math.okstate.edu (localhost [127.0.0.1]) by hardy.math.okstate.edu (8.9.3/8.9.3) with ESMTP id NAA27193 for <banach at math.okstate.edu>; Tue, 8 Feb 2000 13:45:16 -0600 Message-Id: <200002081945.NAA27193 at hardy.math.okstate.edu> X-Mailer: exmh version 2.1.1 10/15/1999 To: banach at math.okstate.edu Reply-to: "Richard M. Aron" <aron at mcs.kent.edu> Subject: Conference at Kent State Mime-Version: 1.0 Content-Type: text/plain; charset=us-ascii Date: Tue, 08 Feb 2000 13:45:16 -0600 From: Dale Alspach <alspach at hardy.math.okstate.edu> Sender: owner-banach at mail.math.okstate.edu Precedence: bulk
AN EXTRAORDINARY FRIDAY FRIDY-FEST and INFORMAL ANALYSIS SEMINAR KENT STATE UNIVERSITY FRIDAY AND SATURDAY, MARCH 10 - 11, 2000 This will be a special meeting, with an emphasis in the Friday session on SUMMABILITY to mark the occasion of John Fridy's retirement. We will also have our usual Saturday St. Patrick's Day meeting on the following day, March 11, 2000. Note that the Friday session begins at 1:00 PM, and that the Saturday session starts at 12:00. The following are confirmed speakers: Friday talks: Grahame Bennett (Indiana) "Summability for those without" Jeff Connor (Ohio Univ.) "A rough guide to statistical convergence" A.K. Snyder (Lehigh) "The Wilansky property for biorthogonal systems" Saturday talks: Carlos Cabrelli (Univ. of Buenos Aires & Georgia Tech) "Polynomial Reproduction and Refinable Functions" Kit Chan (Bowling Green) "Density of Hypercyclic Operators on a Hilbert Space" Jose Llavona (Complutense University of Madrid) "Polynomial continuity on Banach spaces" Ursula Molter (Univ. of Buenos Aires & Georgia Tech) "Tiles and Orthonormal Bases for L^2(R^n)." Information on this meeting can also be found at the What's New section of our website: www.mcs.kent.edu/ math We can arrange accommodation, and all are most welcome. As usual, there will be ample gourmet cuisine, of solid and liquid natures.
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<center> CONGRES D'ANALYSE FONCTIONNELLE (27-28-29 mars 2000) CONFERENCE IN FUNCTIONAL ANALYSIS (27-28-29 march 2000) LILLE - LENS (FRANCE) </center> MONDAY 27 MARCH (Batiment M2, salle de reunion, Villeneuve d'Ascq campus). 9h-10h Welcome 10h-10h45 G. GODEFROY (Paris VI) Meilleure approximation dans les espaces de Banach. Sous-espaces fortement proximinaux. 11h-11h45 K. KELLAY (Marseille) Fonctions interieures et vecteurs bicycliques. 12h-14h Lunch 14h-14h45 B. HOST (Marne-la-Vallee) Les cocycles affines. 15h-15h45 L. RODRIGUEZ-PIAZZA (Seville) De nouveaux exemples d'ensembles lacunaires. 15h45-16h15 Break 16h15-17h R. DEVILLE (Bordeaux) Continuite sequentielle forte. 17h15-18h Q. XU (Besancon) Sur le theoreme de factorisation d'Arveson. TUESDAY 28 MARCH (Faculte Jean Perrin, salle P105, Lens). 8h45 A coach shuttle will take the conference participants to Lens. It will be in front of the hotel "Ascotel" near the conference building, and will leave at 8h45. 10h-1045 H. JARCHOW (Zurich) Nevanlinna algebras. 11h-11h45 A. OLEVSKI (Tel-Aviv) Sparse spectra: approximations and expansions. 12h-14h Lunch 14h-14h45 N. KALTON (Missouri-Columbia) Boundedness of bilinear multipliers. 15h-15h45 A. BORITCHEV (Bordeaux) Two results on weighted polynomial approximation on the real line. 15h45-16h15 Break 16h15-17h D. WERNER(Berlin) Banach spaces with the Daugavet property. 17h15-18h C. LEMERDY (Besancon) Matrix space factorizations for mappings on operator spaces. WEDNESDAY 29 MARCH (Batiment M2, salle de reunion, Villeneuve d'Ascq campus). This day will be a common meeting for the Conference on Probabilities: Colloque Theoremes Limites en Statistiques et Probabilites (organized by Ch. SUQUET) and the Conference on Functional Analysis. 9h-9h45 J.-P. KAHANE (Paris-Sud) Constructions d'ensembles de Salem par des methodes probabilistes et de Baire. 9h45-10h30 W. LINDE (Iena) Gaussian approximation numbers with applications to fractional Brownian sheet. 10h30-11h Break 11h-11h45 Y. HEURTEAUX (Paris-Sud) Comment calculer ou estimer la dimension des mesures. 11h45-12h30 M. LIFSHITS (Saint-Petersbourg and Lille) Probabilistic approach to evaluation of entropy of linear operators. 12h30-14h Lunch 14h15-15h F. BARTHE (Marne-la-Vallee) Approches fonctionnelles de l'isoperimetrie. 15h-15h45 M. LEDOUX (Toulouse) Concentration, transportation and logarithmic Sobolev inequalities. 15h45-16h15 Break 16h15-17h X. FERNIQUE (Strasbourg) Continuite des fonctions aleatoires gaussiennes a valeurs dans $\ell_2$. 17h-17h45 Y. DAVIDOV (Lille) Theoremes limites pour les zonotopes aleatoires. ******************************************************************************* * Poster sessions will be plan. Please contact the organizers. ******************************************************************************* * Daniel Li Universite d'Artois Faculte 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
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Return-Path: <owner-banach at mail.math.okstate.edu> Received: from mail.math.okstate.edu (IDENT:majordomo at mail.math.okstate.edu [139.78.112.5]) by hardy.math.okstate.edu (8.9.3/8.9.3) with ESMTP id JAA25138 for <alspach at hardy.math.okstate.edu>; Mon, 14 Feb 2000 09:01:47 -0600 Received: (from majordomo at localhost) by mail.math.okstate.edu (8.8.7/8.8.7) id JAA07124 for banach-list; Mon, 14 Feb 2000 09:15:11 -0600 X-Authentication-Warning: mail.math.okstate.edu: majordomo set sender to owner-banach at mail.math.okstate.edu using -f Received: (from mail at localhost) by mail.math.okstate.edu (8.8.7/8.8.7) id JAA07120 for <banach at math.okstate.edu>; Mon, 14 Feb 2000 09:15:08 -0600 Received: from hardy.math.okstate.edu(139.78.112.2) by mail.math.okstate.edu via smap (V2.1) id xma007118; Mon, 14 Feb 00 09:15:06 -0600 Received: from hardy.math.okstate.edu (localhost [127.0.0.1]) by hardy.math.okstate.edu (8.9.3/8.9.3) with ESMTP id IAA25091 for <banach at math.okstate.edu>; Mon, 14 Feb 2000 08:58:56 -0600 Message-Id: <200002141458.IAA25091 at hardy.math.okstate.edu> X-Mailer: exmh version 2.1.1 10/15/1999 To: banach at math.okstate.edu Reply-to: Daniel LI <daniel.li at euler.univ-artois.fr> Subject: Lille (spring school) with abstracts Mime-Version: 1.0 Content-Type: text/enriched; charset="iso-8859-1" Content-Transfer-Encoding: quoted-printable Date: Mon, 14 Feb 2000 08:58:56 -0600 From: Dale Alspach <alspach at hardy.math.okstate.edu> Sender: owner-banach at mail.math.okstate.edu Precedence: bulk
<center>ECOLE DE PRINTEMPS EN ANALYSE FONCTIONNELLE (20 au 25 mars 2000) SPRING SCHOOL IN FUNCTIONAL ANALYSIS (20 to 25 march 2000) LILLE - LENS (FRANCE) PROGRAMME - SCHEDULE </center> Les cours auront lieu au campus de Villeneuve d'Ascq, Batiment M2, salle de reunion (1er etage). Lectures will be given in Batiment M2, salle de reunion (first floor), Villeneuve d'Ascq campus. Lundi 20 mars - Monday 20 march 9h30-10h Accueil - Welcome 10h-11h T. Korner 1 11h15-12h15 T. Korner 2 14h30-15h30 N. Kalton 1 16h-17h N. Kalton 2 Mardi 21 mars - Tuesday 21 march 10h-11h G. Godefroy 1 11h15-12h15 G. Godefroy 2 14h30-15h30 F. Parreau 1 16h-17h F. Parreau 2 Mercredi 22 mars - Wednesday 22 march 10h-11h G. Godefroy 3 11h15-12h15 N. Kalton 3 Jeudi 23 mars - Thursday 23 march 10h-11h G.Godefroy 4 11h15-12h15 G. Godefroy 5 14h30-15h30 F. Parreau 3 16h-17h F. Parreau 4 Vendredi 24 mars - Friday 24 march 10h-11h T. Korner 3 11h15-12h15 T. Korner 4 14h30-15h-30 N. Kalton 4 16h-17h N. Kalton 5 Samedi 25 mars - Saturday 25 march 10h-11h F. Parreau 5 11h15-12h15 T. Korner 5 **************************************************************************** **** Les etudiants auront la possibilite d'exposer leurs travaux par des exposes d'une vingtaine de minutes, le mercredi apres-midi, ou les autres jours apres 17h. Ceux desirant le faire sont invites a se faire connaitre et a donner un titre avec un resume. Students will have opportunity to give a talk on their work (about 20 minutes) wednesday afternoon or after 5pm the other days. Students which plan to speak should tell us, and have to give a title with an abstract. **************************************************************************** **** CONTENU DES COURS - CONTENTS **G. GODEFROY (Paris VI) : L'espace $L^1$ et ses sous-espaces. Resume : L'espace $L^1$ joue un role central en analyse harmonique et en theorie des probabilites, et son etude permet d'appliquer des outils de geometrie des espaces de Banach a ces domaines. Nous nous interesserons plus particulierement aux applications a l'analyse harmonique et a quelques problemes de lacunarite dans l'ensemble $\bf Z$ des entiers relatifs. La representation des operateurs sur $L^1$ sera etudiee et utilisee. On abordera egalement la question de savoir quels sous espaces de $L^1$ ont une structure presque discrete, c'est-a-dire sont arbitrairement proches de sous-espaces de $\ell^1$, ce qui nous conduira a utiliser des methodes probabilistes. Des problemes ouverts de difficulte variee seront presentes. **G. GODEFROY (Paris VI): The space $L^1$ and its subspaces. Schedule : The space $L^1$ has a central place in harmonic analysis and in probability theory, and its study allows to use tools from the geometry of Banach spaces in these fields. More specifically, we will give some application to harmonic analysis and to some problems about lacunarity in the set $\bb Z$ of the integers. We will study and use the representation of operators on $L^1$. We will also study the subspaces of $L^1$ which have an almost discrete structure, i.e. which are arbitrarily close to subspaces of $\ell_1$, and this will lead us to use probabilistic tools. Some open problems, of various difficulty, will be discussed. **N. KALTON (Missouri-Columbia) : Banach spaces and analytic semigroups. Abstract: We will give an overview of the theory of sectorial operators and operators with an $H^{\infty}-$calculus, leading up to recent work of the author, G. Lancien and L. Weis. Our aim will be to show how modern concepts in Banach space theory can be applied successfully in this area to yield new illuminating results. **T. KORNER (Cambridge) : Applications of Probability to Harmonic Analysis, First Steps. Abstract The course will not assume much knowledge of either harmonic analysis or probability. The contents are not fixed but may include : (1) Sphere packing and Shannon's Theorem (2) Fourier transforms and normal approximations (3) Rearranged Haar series and the reflection principle (4) The zero-one law and natural boundaries (5) The decay of familly names and Brownian motion **F. PARREAU (Paris XIII) : Produits de Riesz en theorie ergodique. But : A travers des calculs explicites sur une classe de constructions, on montrera des relations etroites entre certains problemes de theorie ergodique et des problemes d'analyse harmonique des mesures, et on essaiera de presenter quelques r\'esultats r\'ecents. Programme : Systemes dynamiques mesurables, type spectral et notions de melange. Multiplicite spectrale. Des produits de Riesz comme mesures spectrales : constructions par decoupage et empilement (systemes de ``rang un"), etude spectrale ; extensions simples, exemples classiques. Melange faible, fonctions propres et translations des produits de Riesz. Criteres de singularite ou de singularite mutuelle des produits de Riesz. Probleme du spectre simple de Lebesgue et polynomes trigonometriques ``plats". Quelques autres questions de theorie ergodique liees aux proprietes du type spectral et de ses puissances de convolution. Exemples obtenus par construction de systemes de rang un. **F. PARREAU (Paris XIII): Riesz products in ergodic theory. Goal : through explicit computations on a class of constructions, we will show connections between problems in ergodic theory and problems in harmonic analysis of measures, and we shall try to present some recent results. Schedule : measurable dynamical systems, spectral type and different notions of mixing. Spectral multiplicity. Riesz products as spectral measures: construction by cutting and stacking ("rank-one" systems). Spectral analysis. Extensions and classical examples. Conditions of weak mixing. Eigenfunctions and translates of Riesz products. Criteria of singularity or mutual singularity of Riesz products. The problem of simple Lebesgue spectrum and flat trigonometric polynomials. Some other questions of ergodic theory related to harmonic properties of the spectral type and its convolution powers. Examples obtained by construction of rank-one systems. **************************************************************************** ***** <center> </center> Daniel Li Universite d'Artois Faculte 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 ------- End of Forwarded Message
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Return-Path: <owner-banach at mail.math.okstate.edu> Received: from mail.math.okstate.edu (IDENT:majordomo at mail.math.okstate.edu [139.78.112.5]) by hardy.math.okstate.edu (8.9.3/8.9.3) with ESMTP id IAA26214 for <alspach at hardy.math.okstate.edu>; Wed, 16 Feb 2000 08:08:34 -0600 Received: (from majordomo at localhost) by mail.math.okstate.edu (8.8.7/8.8.7) id IAA25068 for banach-list; Wed, 16 Feb 2000 08:22:09 -0600 X-Authentication-Warning: mail.math.okstate.edu: majordomo set sender to owner-banach at mail.math.okstate.edu using -f Received: (from mail at localhost) by mail.math.okstate.edu (8.8.7/8.8.7) id IAA25060 for <banach at math.okstate.edu>; Wed, 16 Feb 2000 08:22:05 -0600 Received: from hardy.math.okstate.edu(139.78.112.2) by mail.math.okstate.edu via smap (V2.1) id xma025056; Wed, 16 Feb 00 08:21:38 -0600 Received: from hardy.math.okstate.edu (localhost [127.0.0.1]) by hardy.math.okstate.edu (8.9.3/8.9.3) with ESMTP id IAA26151 for <banach at math.okstate.edu>; Wed, 16 Feb 2000 08:05:16 -0600 Message-Id: <200002161405.IAA26151 at hardy.math.okstate.edu> X-Mailer: exmh version 2.1.1 10/15/1999 Reply-to: Johan Swart <jswart at math.up.ac.za> To: banach at math.okstate.edu Subject: Conference announcement MIME-Version: 1.0 Content-Type: TEXT/PLAIN; charset=US-ASCII Date: Wed, 16 Feb 2000 08:05:16 -0600 From: Dale Alspach <alspach at hardy.math.okstate.edu> Sender: owner-banach at mail.math.okstate.edu Precedence: bulk
ICAA 2000 The Third International Conference on Abstract Analysis in Africa 26 - 30 June 2000 Berg-en-Dal, Kruger National Park SOUTH AFRICA Call for papers! Deadline 31 March 2000 Conference e-mail: icaa at math.up.ac.za Home page: http://www.math.up.ac.za/icaa or www.mcs.kent.edu/~icaa Anonymous ftp: ftp.math.up.ac.za/pub/icaa (login as anonymous and use e-mailnumber as pass word) The Third International Conference on Abstract Analysis in Africa is a follow-up to ICAA 93 and ICAA 96, which were held in 1993 and 1996 respectively. ICAA 2000 will again be devoted to various aspects of Abstract Analysis. The programme will include talks by invited speakers and shorter research talks by other participants as well as problem sessions. ------- End of Forwarded Message Return-path: owner-banach at mail.math.okstate.edu Delivery-date: Tue, 15 Feb 2000 08:44:05 -0600 Return-path: <owner-banach at mail.math.okstate.edu> Received: from mail.math.okstate.edu (IDENT:majordomo at mail.math.okstate.edu [139.78.112.5]) by hardy.math.okstate.edu (8.9.3/8.9.3) with ESMTP id IAA14794 for <alspach at hardy.math.okstate.edu>; Tue, 15 Feb 2000 08:44:05 -0600 Received: (from majordomo at localhost) by mail.math.okstate.edu (8.8.7/8.8.7) id IAA16026 for banach-list; Tue, 15 Feb 2000 08:58:47 -0600 X-authentication-warning: mail.math.okstate.edu: majordomo set sender to owner-banach at mail.math.okstate.edu using -f Received: (from mail at localhost) by mail.math.okstate.edu (8.8.7/8.8.7) id IAA16018 for <banach at math.okstate.edu>; Tue, 15 Feb 2000 08:58:45 -0600 Received: from hardy.math.okstate.edu(139.78.112.2) by mail.math.okstate.edu via smap (V2.1) id xma016014; Tue, 15 Feb 00 08:58:20 -0600 Received: from hardy.math.okstate.edu (localhost [127.0.0.1]) by hardy.math.okstate.edu (8.9.3/8.9.3) with ESMTP id IAA14776 for <banach at math.okstate.edu>; Tue, 15 Feb 2000 08:42:04 -0600 Message-id: <200002151442.IAA14776 at hardy.math.okstate.edu> X-mailer: exmh version 2.1.1 10/15/1999 Mime-version: 1.0 Content-type: text/plain; charset=us-ascii Sender: owner-banach at mail.math.okstate.edu Precedence: bulk To: banach at math.okstate.edu Subject: Abstract of a paper by Daniel Azagra and Mar Jimenez-Sevilla Date: Tue, 15 Feb 2000 08:42:04 -0600 From: Dale Alspach <alspach at hardy.math.okstate.edu>
This is an announcement for the paper "Rolle's theorem is either false or trivial in infinite-dimensional Banach spaces" by Daniel Azagra and Mar Jimenez-Sevilla. Abstract: We prove the following new characterization of $C^p$ (Lipschitz) smoothness in Banach spaces. An infinite-dimensional Banach space $X$ has a $C^p$ smooth (Lipschitz) bump function if and only if it has another $C^p$ smooth (Lipschitz) bump function $f$ such that $f'(x)\neq 0$ for every point $x$ in the interior of the support of $f$ (that is, $f$ does not satisfy Rolle's theorem). Moreover, the support of this bump can be assumed to be a smooth starlike body. As a by-product of the proof of this result we also obtain other useful characterizations of $C^p$ smoothness related to the existence of a certain kind of deleting diffeomorphisms, as well as to the failure of Brouwer's fixed point theorem even for smooth self-mappings of starlike bodies in all infinite-dimensional spaces. Finally, we study the structure of the set of gradients of bump functions in the Hilbert space $\ell_2$, and as a consequence of the failure of Rolle's theorem in infinite dimensions we get the following result. The usual norm of the Hilbert space $\ell_2$ can be uniformly approximated by $C^1$ smooth Lipschiz functions $\psi$ so that the cones generated by the sets of derivatives $\psi'(\ell_{2})$ have empty interior. This implies that there are $C^1$ smooth Lipschitz bumps in $\ell_{2}$ so that the cones generated by their sets of gradients have empty interior. Archive classification: Functional Analysis; Differential Geometry Mathematics Subject Classification: 46B20, 58B99 Remarks: 20 pages The source file(s), Rolle6.tex: 71390 bytes, is(are) stored in gzipped form as 0002108.gz with size 21kb. The corresponding postcript file has gzipped size 85kb. 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/0002108 or http://xxx.lanl.gov/abs/math.FA/0002108 or by email in unzipped form by transmitting an empty message with subject line uget 0002108 or in gzipped form by using subject line get 0002108 to: math at xxx.lanl.gov. Return-path: owner-banach at mail.math.okstate.edu Delivery-date: Mon, 21 Feb 2000 08:43:29 -0600 Return-path: <owner-banach at mail.math.okstate.edu> Received: from mail.math.okstate.edu (IDENT:majordomo at mail.math.okstate.edu [139.78.112.5]) by hardy.math.okstate.edu (8.9.3/8.9.3) with ESMTP id IAA09851 for <alspach at hardy.math.okstate.edu>; Mon, 21 Feb 2000 08:43:29 -0600 Received: (from majordomo at localhost) by mail.math.okstate.edu (8.8.7/8.8.7) id IAA21582 for banach-list; Mon, 21 Feb 2000 08:38:22 -0600 X-authentication-warning: mail.math.okstate.edu: majordomo set sender to owner-banach at mail.math.okstate.edu using -f Received: (from mail at localhost) by mail.math.okstate.edu (8.8.7/8.8.7) id IAA21577 for <banach at math.okstate.edu>; Mon, 21 Feb 2000 08:38:21 -0600 Received: from hardy.math.okstate.edu(139.78.112.2) by mail.math.okstate.edu via smap (V2.1) id xma021575; Mon, 21 Feb 00 08:38:04 -0600 Received: from hardy.math.okstate.edu (localhost [127.0.0.1]) by hardy.math.okstate.edu (8.9.3/8.9.3) with ESMTP id IAA09793 for <banach at math.okstate.edu>; Mon, 21 Feb 2000 08:37:37 -0600 Message-id: <200002211437.IAA09793 at hardy.math.okstate.edu> X-mailer: exmh version 2.1.1 10/15/1999 Mime-version: 1.0 Content-type: text/plain; charset=us-ascii Sender: owner-banach at mail.math.okstate.edu Precedence: bulk To: banach at math.okstate.edu Subject: Abstract of a paper by Xavier Tolsa Date: Mon, 21 Feb 2000 08:37:37 -0600 From: Dale Alspach <alspach at hardy.math.okstate.edu>
This is an announcement for the paper "BMO, $H^1$, and Calderon-Zygmund operators for non doubling measures" by Xavier Tolsa. Abstract: Given a Radon measure $\mu$ on $R^d$, which may be non doubling, we introduce a space of type BMO with respect to this measure. It is shown that many properties that hold when $\mu$ is doubling remain valid for the space BMO introduced in this paper, without assuming $\mu$ doubling. For instance, Calderon-Zygmund operators which are bounded in $L^2$ are bounded from $L^\infty$ into the new BMO space. Moreover, a John-Nirenberg inequality is satisfied, and the predual of BMO is an atomic space $H^1$. Using a sharp maximal function it is proved that operators bounded from $L^\infty$ into BMO and from $H^1$ into $L^1$ are also bounded on $L^p$, $1<p<\infty$. This result gives a new proof of the T(1) theorem for the Cauchy transform with non doubling measures. Finally, a result about commutators is obtained. Archive classification: Classical Analysis; Complex Variables; Functional Analysis Mathematics Subject Classification: 42B20; 42B30 Remarks: 58 pages The source file(s), bmo.tex: 137029 bytes, is(are) stored in gzipped form as 0002152.gz with size 36kb. The corresponding postcript file has gzipped size 169kb. Submitted from: xavier at math.chalmers.se The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.CA/0002152 or http://xxx.lanl.gov/abs/math.CA/0002152 or by email in unzipped form by transmitting an empty message with subject line uget 0002152 or in gzipped form by using subject line get 0002152 to: math at xxx.lanl.gov.
From alspach Mon Feb 28 08:40:15 2000
Return-Path: <alspach> Received: (from alspach at localhost) by www.math.okstate.edu (8.9.3/8.9.3) id IAA28910; Mon, 28 Feb 2000 08:40:15 -0600 Date: Mon, 28 Feb 2000 08:40:15 -0600 From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200002281440.IAA28910 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at math.okstate.edu Subject: Abstract of a paper by Edward Odell and Thomas Schlumprecht Status: R
This is an announcement for the paper "Trees and branches in Banach spaces" by Edward Odell and Thomas Schlumprecht. Abstract: An infinite dimensional notion of asymptotic structure is considered. This notion is developed in terms of trees and branches on Banach spaces. Every countably infinite countably branching tree $\mathcal T$ of a certain type on a space $X$ is presumed to have a branch with some property. It is shown that then $X$ can be embedded into a space with an FDD $(E_i)$ so that all normalized sequences in $X$ which are almost a skipped blocking of $(E_i)$ have that property. As an application of our work we prove that if $X$ is a separable reflexive Banach space and for some $1<p<\infty$ and $C<\infty$ every weakly null tree $\mathcal T$ on the sphere of $X$ has a branch $C$-equivalent to the unit vector basis of $\ell_p$, then for all $\varepsilon>0$, there exists a finite codimensional subspace of $X$ which $C^2+\varepsilon$ embeds into the $\ell_p$ sum of finite dimensional spaces. Archive classification: Functional Analysis Mathematics Subject Classification: 46B03, 46B20 Report Number: ut-ma/00-01 Remarks: LaTeX, 24pp The source file(s), os-trees-lanl.tex: 79198 bytes, is(are) stored in gzipped form as 0002219.gz with size 24kb. The corresponding postcript file has gzipped size 106kb. Submitted from: combs at math.utexas.edu The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0002219 or http://xxx.lanl.gov/abs/math.FA/0002219 or by email in unzipped form by transmitting an empty message with subject line uget 0002219 or in gzipped form by using subject line get 0002219 to: math at xxx.lanl.gov.
From alspach Tue Feb 29 14:13:57 2000
Return-Path: <alspach> Received: (from alspach at localhost) by www.math.okstate.edu (8.9.3/8.9.3) id OAA08154; Tue, 29 Feb 2000 14:13:57 -0600 Date: Tue, 29 Feb 2000 14:13:57 -0600 From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200002292013.OAA08154 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at math.okstate.edu Subject: Abstract of a paper by Alex Chigogidze Status: R
This is an announcement for the paper "Complemented subspaces of locally convex direct sums of Banach spaces" by Alex Chigogidze. Abstract: We show that a complemented subspace of a locally convex direct sum of an uncountable collection of Banach spaces is a locally convex direct sum of complemented subspaces of countable subsums. As a corollary we prove that a complemented subspace of a locally convex direct sum of arbitrary collection of $\ell_{1}(\Gamma )$-spaces is isomorphic to a locally convex direct sum of $\ell_{1}(\Gamma )$-spaces. Archive classification: Functional Analysis Mathematics Subject Classification: 46M10, 46B25 The source file(s), ellsums.TEX: 20493 bytes, is(are) stored in gzipped form as 0002241.gz with size 6kb. The corresponding postcript file has gzipped size 38kb. Submitted from: chigogid at snoopy.usask.ca The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0002241 or http://xxx.lanl.gov/abs/math.FA/0002241 or by email in unzipped form by transmitting an empty message with subject line uget 0002241 or in gzipped form by using subject line get 0002241 to: math at xxx.lanl.gov.
From alspach Tue Feb 29 14:23:37 2000
Return-Path: <alspach> Received: (from alspach at localhost) by www.math.okstate.edu (8.9.3/8.9.3) id OAA08257; Tue, 29 Feb 2000 14:23:37 -0600 Date: Tue, 29 Feb 2000 14:23:37 -0600 From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200002292023.OAA08257 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at math.okstate.edu Subject: Abstract of a paper by Manuel Gonzalez and Joaquin M. Gutierrez Status: R
This is an announcement for the paper "Polynomials on Schreier's space" by Manuel Gonz\'alez and Joaqu\'{\i}n M. Guti\'errez. Abstract: We introduce a weakened version of the Dunford-Pettis property, and give examples of Banach spaces with this property. In particular, we show that every closed subspace of Schreier's space $S$ enjoys it. As an application, we characterize the weak polynomial convergence of sequences, show that every closed subspace of $S$ has the polynomial Dunford-Pettis property of Bistr\"om et al.\ and give other polynomial properties of $S$. Archive classification: Functional Analysis Mathematics Subject Classification: 46B20 Remarks: 12 pages The source file(s), Poss.tex: 35579 bytes, is(are) stored in gzipped form as 0002239.gz with size 11kb. The corresponding postcript file has gzipped size 56kb. Submitted from: jgutierrez at math.etsii.upm.es The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0002239 or http://xxx.lanl.gov/abs/math.FA/0002239 or by email in unzipped form by transmitting an empty message with subject line uget 0002239 or in gzipped form by using subject line get 0002239 to: math at xxx.lanl.gov.
From alspach Tue Feb 29 16:48:04 2000
Return-Path: <alspach> Received: (from alspach at localhost) by www.math.okstate.edu (8.9.3/8.9.3) id QAA09021; Tue, 29 Feb 2000 16:48:04 -0600 Date: Tue, 29 Feb 2000 16:48:04 -0600 From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200002292248.QAA09021 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at math.okstate.edu Subject: Abstract of a paper by Alex Chigogidze Status: R
This is an announcement for the paper "Complemented subspaces of products of Banach spaces" by Alex Chigogidze. Abstract: We show that complemented subspaces of uncountable products of Banach spaces are products of complemented subspaces of countable subproducts. Archive classification: Functional Analysis Mathematics Subject Classification: Primary: 46A03, 46M10; Secondary: 46A13 The source file(s), newampi.TEX: 24713 bytes, is(are) stored in gzipped form as 0002242.gz with size 7kb. The corresponding postcript file has gzipped size 43kb. Submitted from: chigogid at snoopy.usask.ca The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0002242 or http://xxx.lanl.gov/abs/math.FA/0002242 or by email in unzipped form by transmitting an empty message with subject line uget 0002242 or in gzipped form by using subject line get 0002242 to: math at xxx.lanl.gov.
From alspach Tue Mar 7 08:19:43 2000
Return-Path: <alspach> Received: (from alspach at localhost) by www.math.okstate.edu (8.9.3/8.9.3) id IAA03560; Tue, 7 Mar 2000 08:19:43 -0600 Date: Tue, 7 Mar 2000 08:19:43 -0600 From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200003071419.IAA03560 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at math.okstate.edu Subject: Abstract of a paper by Manuel Gonzalez and Joaquin M. Gutierrez Status: R
This is an announcement for the paper "Orlicz-Pettis polynomials on Banach spaces" by Manuel Gonzalez and Joaquin M. Gutierrez. Abstract: We introduce the class of Orlicz-Pettis polynomials between Banach spaces, defined by their action on weakly unconditionally Cauchy series. We give a number of equivalent definitions, examples and counterexamples which highlight the differences between these polynomials and the corresponding linear operators. Archive classification: Functional Analysis Mathematics Subject Classification: Primary: 46G25; Secondary: 46B20 Remarks: 10 pages The source file(s), oppbs.tex: 34058 bytes, is(are) stored in gzipped form as 0003020.gz with size 10kb. The corresponding postcript file has gzipped size 59kb. Submitted from: jgutierrez at math.etsii.upm.es The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0003020 or http://xxx.lanl.gov/abs/math.FA/0003020 or by email in unzipped form by transmitting an empty message with subject line uget 0003020 or in gzipped form by using subject line get 0003020 to: math at xxx.lanl.gov.
From alspach Fri Mar 10 17:21:01 2000
Return-Path: <alspach> Received: (from alspach at localhost) by www.math.okstate.edu (8.9.3/8.9.3) id RAA28125; Fri, 10 Mar 2000 17:21:01 -0600 Date: Fri, 10 Mar 2000 17:21:01 -0600 From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200003102321.RAA28125 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at math.okstate.edu Subject: Abstract of a paper by Rafal Latala, Krzysztof Oleszkiewicz Status: R
This is an announcement for the paper "Between Sobolev and Poincar\'e" by Rafal Latala, Krzysztof Oleszkiewicz. Abstract: We establish a family of functional inequalities interpolating between the classical logarithmic Sobolev and Poincar\'e inequalities. We prove that they imply the concentration of measure phenomenon intermediate between Gaussian and exponential. Our bounds are close to optimal. Archive classification: Probability Theory; Functional Analysis Mathematics Subject Classification: 60E15 (primary) 28A35, 46N30 (secondary) Remarks: 23 pages The source file(s), gafawys.tex: 51017 bytes, is(are) stored in gzipped form as 0003043.gz with size 15kb. The corresponding postcript file has gzipped size 80kb. 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/0003043 or http://xxx.lanl.gov/abs/math.PR/0003043 or by email in unzipped form by transmitting an empty message with subject line uget 0003043 or in gzipped form by using subject line get 0003043 to: math at xxx.lanl.gov.
From alspach Mon Mar 20 13:56:49 2000
Return-Path: <alspach> Received: (from alspach at localhost) by www.math.okstate.edu (8.9.3/8.9.3) id NAA28684; Mon, 20 Mar 2000 13:56:49 -0600 Date: Mon, 20 Mar 2000 13:56:49 -0600 From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200003201956.NAA28684 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at math.okstate.edu Subject: Abstract of a paper by O. E. Tikhonov, L. V. Veselova Status: R
This is an announcement for the paper "The uniqueness of the solution to inverse problems of interpolation of positive operators in Banach lattices" by O. E. Tikhonov, L. V. Veselova. Abstract: We prove that an interpolation pair of Banach lattices is uniquely determined by the collection of intermediate spaces with the property that these are interpolation spaces for positive operators. A correspondent result for exact interpolation is also presented. Archive classification: Functional Analysis Mathematics Subject Classification: 46B42; 46B70 Remarks: 3 pages The source file(s), B_lat.tex: 8933 bytes, is(are) stored in gzipped form as 0003095.gz with size 3kb. The corresponding postcript file has gzipped size 24kb. Submitted from: oleg.tikhonov at ksu.ru The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0003095 or http://xxx.lanl.gov/abs/math.FA/0003095 or by email in unzipped form by transmitting an empty message with subject line uget 0003095 or in gzipped form by using subject line get 0003095 to: math at xxx.lanl.gov.
From alspach Mon Mar 20 13:58:52 2000
Return-Path: <alspach> Received: (from alspach at localhost) by www.math.okstate.edu (8.9.3/8.9.3) id NAA28727; Mon, 20 Mar 2000 13:58:51 -0600 Date: Mon, 20 Mar 2000 13:58:51 -0600 From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200003201958.NAA28727 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at math.okstate.edu Subject: Abstract of a paper by Manuel Gonzalez and Joaquin M. Gutierrez Status: R
This is an announcement for the paper "The polynomial property (V)" by Manuel Gonzalez and Joaquin M. Gutierrez. Abstract: Given Banach spaces $E$ and $F$, we denote by ${\mathcal P}(^k!E,F)$ the space of all $k$-homogeneous (continuous) polynomials from $E$ into $F$, and by ${\mathcal P}_{wb}(^k!E,F)$ the subspace of polynomials which are weak-to-norm continuous on bounded sets. It is shown that if $E$ has an unconditional finite dimensional expansion of the identity, the following assertions are equivalent: (a) ${\mathcal P}(^k!E,F)={\mathcal P}_{wb}(^k!E,F)$; (b) ${\mathcal P}_{wb}(^k!E,F)$ contains no copy of $c_0$; (c) ${\mathcal P}(^k!E,F)$ contains no copy of $\ell_\infty$; (d) ${\mathcal P}_{wb}(^k!E,F)$ is complemented in ${\mathcal P}(^k!E,F)$. This result was obtained by Kalton for linear operators. As an application, we show that if $E$ has Pe\l czy\'nski's property (V) and satisfies ${\mathcal P}(^k!E) ={\mathcal P}_{wb}(^k!E)$ then, for all $F$, every unconditionally converging $P\in{\mathcal P}(^k!E,F)$ is weakly compact. If $E$ has an unconditional finite dimensional expansion of the identity, then the converse is also true. Archive classification: Functional Analysis Mathematics Subject Classification: Primary 46G25; Secondary 46B20 Remarks: 9 pages The source file(s), ppv.tex: 30755 bytes, is(are) stored in gzipped form as 0003111.gz with size 9kb. The corresponding postcript file has gzipped size 56kb. Submitted from: jgutierrez at math.etsii.upm.es The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0003111 or http://xxx.lanl.gov/abs/math.FA/0003111 or by email in unzipped form by transmitting an empty message with subject line uget 0003111 or in gzipped form by using subject line get 0003111 to: math at xxx.lanl.gov.
From alspach Mon Mar 27 07:41:18 2000
Return-Path: <alspach> Received: (from alspach at localhost) by www.math.okstate.edu (8.9.3/8.9.3) id HAA08588; Mon, 27 Mar 2000 07:41:18 -0600 Date: Mon, 27 Mar 2000 07:41:18 -0600 From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200003271341.HAA08588 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at math.okstate.edu Subject: Abstract of a paper by Hermann Pfitzner Status: R
This is an announcement for the paper "A note on asymptotically isometric copies of $l^1$ and $c_0$" by Hermann Pfitzner. Abstract: Nonreflexive Banach spaces that are complemented in their bidual by an L-projection - like preduals of von Neumann algebras or the Hardy space $H^1$ - contain, roughly speaking, many copies of $l^1$ which are very close to isometric copies. Such $l^1$-copies are known to fail the fixed point property. Similar dual results hold for $c_0$. Archive classification: Functional Analysis Mathematics Subject Classification: 46B03; 46B04, 46B20, 47H10 Remarks: to appear in Proc. Am. Math. Soc The source file(s), Fixpunkt_Corr.tex: 24220 bytes, is(are) stored in gzipped form as 0003151.gz with size 8kb. The corresponding postcript file has gzipped size 43kb. Submitted from: hermann.pfitzner at labomath.univ-orleans.fr The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0003151 or http://xxx.lanl.gov/abs/math.FA/0003151 or by email in unzipped form by transmitting an empty message with subject line uget 0003151 or in gzipped form by using subject line get 0003151 to: math at xxx.lanl.gov.
From alspach Mon Mar 27 07:42:40 2000
Return-Path: <alspach> Received: (from alspach at localhost) by www.math.okstate.edu (8.9.3/8.9.3) id HAA08630; Mon, 27 Mar 2000 07:42:40 -0600 Date: Mon, 27 Mar 2000 07:42:40 -0600 From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200003271342.HAA08630 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at math.okstate.edu Subject: Abstract of a paper by Hermann Pfitzner Status: R
This is an announcement for the paper "Perturbation of $l^1$-copies and measure convergence in preduals of von Neumann algebras" by Hermann Pfitzner. Abstract: Let L_1 be the predual of a von Neumann algebra with a finite faithful normal trace. We show that a bounded sequence in L_1 converges to 0 in measure if and only if each of its subsequences admits another subsequence which converges to 0 in norm or spans $l^1$ "almost isometrically". Furthermore we give a quantitative version of an essentially known result concerning the perturbation of a sequence spanning $l^1$ isomorphically in the dual of a C$^*$-algebra. Archive classification: Functional Analysis Mathematics Subject Classification: 46B20, 46L05 Remarks: submitted to J. of Op. Th The source file(s), Fuer_Archive.tex: 71700 bytes, is(are) stored in gzipped form as 0003152.gz with size 20kb. The corresponding postcript file has gzipped size 84kb. Submitted from: hermann.pfitzner at labomath.univ-orleans.fr The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0003152 or http://xxx.lanl.gov/abs/math.FA/0003152 or by email in unzipped form by transmitting an empty message with subject line uget 0003152 or in gzipped form by using subject line get 0003152 to: math at xxx.lanl.gov.
From alspach Mon Mar 27 07:43:50 2000
Return-Path: <alspach> Received: (from alspach at localhost) by www.math.okstate.edu (8.9.3/8.9.3) id HAA08672; Mon, 27 Mar 2000 07:43:50 -0600 Date: Mon, 27 Mar 2000 07:43:50 -0600 From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200003271343.HAA08672 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at math.okstate.edu Subject: Abstract of a paper by Hermann Pfitzner Status: R
This is an announcement for the paper "L-embedded Banach spaces and measure topology}" by Hermann Pfitzner. Abstract: An L-embedded Banach spaace is a Banach space which is complemented in its bidual such that the norm is additive between the two complementary parts. On such spaces we define a topology, called an abstract measure topology, which by known results coincides with the usual measure topology on preduals of finite von Neumann algebras (like $L_1([0,1])$). Though not numerous, the known properties of this topology suffice to generalize several results on subspaces of $L_1([0,1])$ to subspaces of arbitrary L-embedded spaces. Archive classification: Functional Analysis Mathematics Subject Classification: 46B20; 46B25, 46B51, 46L05, 46L51 The source file(s), LL_und_Mass.tex: 84826 bytes, is(are) stored in gzipped form as 0003154.gz with size 24kb. The corresponding postcript file has gzipped size 96kb. Submitted from: hermann.pfitzner at labomath.univ-orleans.fr The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0003154 or http://xxx.lanl.gov/abs/math.FA/0003154 or by email in unzipped form by transmitting an empty message with subject line uget 0003154 or in gzipped form by using subject line get 0003154 to: math at xxx.lanl.gov.
From alspach at ms417l.math.okstate.edu Wed Apr 5 21:01:23 2000
Return-Path: owner-banach at mail.math.okstate.edu Delivery-Date: Wed, 05 Apr 2000 16:41:06 -0500
Return-Path: <owner-banach at mail.math.okstate.edu> Received: from mail.math.okstate.edu (IDENT:majordomo at mail.math.okstate.edu [139.78.112.5]) by ms417l.math.okstate.edu (8.9.3/8.8.7) with ESMTP id QAA15084 for <alspach at ms417l.math.okstate.edu>; Wed, 5 Apr 2000 16:41:05 -0500 Received: (from majordomo at localhost) by mail.math.okstate.edu (8.8.7/8.8.7) id QAA19360 for banach-list; Wed, 5 Apr 2000 16:34:41 -0500 X-Authentication-Warning: mail.math.okstate.edu: majordomo set sender to owner-banach at mail.math.okstate.edu using -f Received: (from mail at localhost) by mail.math.okstate.edu (8.8.7/8.8.7) id QAA19355 for <banach at math.okstate.edu>; Wed, 5 Apr 2000 16:34:36 -0500 Received: from ms417l.math.okstate.edu(139.78.112.67) by mail.math.okstate.edu via smap (V2.1) id xma019353; Wed, 5 Apr 00 16:34:10 -0500 Received: from ms417l.math.okstate.edu (IDENT:alspach at localhost [127.0.0.1]) by ms417l.math.okstate.edu (8.9.3/8.8.7) with ESMTP id QAA15064 for <banach at math.okstate.edu>; Wed, 5 Apr 2000 16:37:29 -0500 Message-Id: <200004052137.QAA15064 at ms417l.math.okstate.edu> X-Mailer: exmh version 2.0.3 Reply-to: aron at aron.facnet.mcs.kent.edu Subject: Kent State U. INFORMAL ANALYSIS SEMINAR To: banach at math.okstate.edu Mime-Version: 1.0 Content-Type: text/plain; charset=us-ascii Date: Wed, 05 Apr 2000 16:37:29 -0500 From: Dale Alspach <alspach at ms417l.math.okstate.edu> Sender: owner-banach at mail.math.okstate.edu Precedence: bulk
INFORMAL ANALYSIS SEMINAR at KENT STATE UNIVERSITY SATURDAY, April 29, 2000 An action packed Saturday will begin a bit earlier than usual and end a bit later than usual with a concert. All talks will be in Room 228 of the Mathematics & Computer Science Building 11:00 - 12:00 Vladimir Gurariy (Kent State) ``A generalization of Parseval's theorem for all bases in Hilbert spaces'' 12:00 = 1:00 Lunch in the third floor coffee lounge 1:00 - 2:00 Oscar Blasco (Valencia) ``Bilinear maps and convolution'' 2:15 - 3:15 : Joe Cima (Chapel Hill) ``Composition operators on some function spaces'' 3:30 - 4:30 : Eve Oja (Tartu) ``Lifting approximation properties from Banach spaces to their dual spaces'' = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = 5:00 : Piano Recital in the Ludwig Recital Hall (Music and Speech Building) Per Enflo (Kent State) F. Schubert : A Minor Sonata B. Bartok : Suite, Opus 14 J. Brahms : Three Intermezzi, Opus 117 F. Chopin : Etudes, Opus 25 We can arrange accommodation, and all are most welcome. As usual there will be ample gourmet cuisine. Richard Aron, Joe Diestel, Per Enflo, Vladimir Gurariy, Bob Lohman, Victor Lomonosov, Andrew Tonge.
From alspach at ms417l.math.okstate.edu Thu Apr 6 14:47:45 2000
Return-Path: owner-banach at mail.math.okstate.edu Delivery-Date: Thu, 06 Apr 2000 13:02:52 -0500
Return-Path: <owner-banach at mail.math.okstate.edu> Received: from mail.math.okstate.edu (IDENT:majordomo at mail.math.okstate.edu [139.78.112.5]) by ms417l.math.okstate.edu (8.9.3/8.8.7) with ESMTP id NAA17951 for <alspach at ms417l.math.okstate.edu>; Thu, 6 Apr 2000 13:02:52 -0500 Received: (from majordomo at localhost) by mail.math.okstate.edu (8.8.7/8.8.7) id MAA25764 for banach-list; Thu, 6 Apr 2000 12:56:42 -0500 X-Authentication-Warning: mail.math.okstate.edu: majordomo set sender to owner-banach at mail.math.okstate.edu using -f Received: (from mail at localhost) by mail.math.okstate.edu (8.8.7/8.8.7) id MAA25760 for <banach at math.okstate.edu>; Thu, 6 Apr 2000 12:56:38 -0500 Received: from ms417l.math.okstate.edu(139.78.112.67) by mail.math.okstate.edu via smap (V2.1) id xma025758; Thu, 6 Apr 00 12:56:30 -0500 Received: from ms417l.math.okstate.edu (IDENT:alspach at localhost [127.0.0.1]) by ms417l.math.okstate.edu (8.9.3/8.8.7) with ESMTP id MAA17939 for <banach at math.okstate.edu>; Thu, 6 Apr 2000 12:59:52 -0500 Message-Id: <200004061759.MAA17939 at ms417l.math.okstate.edu> X-Mailer: exmh version 2.0.3 To: banach at math.okstate.edu Reply-to: flancien at Math.Univ-FComte.FR Subject: summerschool in Besancon Mime-Version: 1.0 Content-Type: text/plain; charset=iso-8859-1 Date: Thu, 06 Apr 2000 12:59:52 -0500 From: Dale Alspach <alspach at ms417l.math.okstate.edu> Content-Transfer-Encoding: 8bit X-MIME-Autoconverted: from quoted-printable to 8bit by mail.math.okstate.edu id MAB25760 Sender: owner-banach at mail.math.okstate.edu Precedence: bulk
We invite you to participate to the following summerschool in functional analysis organized by the Math Department of the University of Besancon (France) Could you please forward the following announcement to collegues or students who may be interested? The website of the math department will have updated information about the school. http://www-math.univ-fcomte.fr/Actu/SummerSchool/ Sincerely, Florence Lancien ============================================================================ The Math Department of the University of Besancon organizes a Summerschool in Functionnal Analysis June 19 - 29, 2000 in Besancon. The following courses will be offered: O. BLASCO (Valence, Espagne) "Topics in vector-valued Fourier analysis" M. BOZEJKO (Wroclaw ,Pologne) "Non commutative probabilities and applications" G. GODEFROY (Paris 6, France) "Smoothness in Banach spaces and applications" N. KALTON (Missouri, USA) "Recent progress on sectorial operators" J. LINDENSTRAUSS (Jerusalem, ISRAEL) "Negligible sets in Banach spaces" Q. XU (Besancon, France) "Non commutative probabilities and applications" Each course will consist in a series of 4 one hour lectures. The courses are intended to be accessible to graduate students with a background in functionnal analysis... Short lectures sessions will also be organized. All researchers, including PhD students are encouraged to participate. The school is sponsored by a SOCRATES Intensive Programm involving the universities of Besancon, Delft, Halle, Tubingen, Ulm, Madrid, Valencia, Zaragossa. Financial suppport is available for participants from these institutions. Students from other universities may apply for partial support. For further information: - ----------------- The website of the math department will have updated information about the school. http://www-math.univ-fcomte.fr/Actu/SummerSchool/ or mailto:Florence.Lancien at math.univ-fcomte.fr To register: - ------------ Please fill in the above registration form and return it by email, fax or post to: Mme Monique DIGUGLIELMO Département de Mathématiques, Université de Franche-Comté, 16 Route de Gray, F-25030 BESANCON fax: (33) 3 81 66 66 23 mailto:mdigu at math.univ-fcomte.fr ============================================================================== PRACTICAL INFORMATIONS - ---------------------- Besancon is 2H30 away from Paris by TGV train. The school will take place at the "Faculte des sciences" of the University of Besancon, 16 Route de Gray, Besancon. A map can be sent on request. Registration fees: 700FF (including lunch on week days at the place of the conference). Food and lodging: - ---------------- Lunch will be taken at the University on weekdays. Hotel de Paris (33 Rue des Granges, in historical dowtown, 30mn walk to University or bus): rooms with private bathroom, shower or bath, TV, breakfast included, 210F per night for one person, 250F per night for 2 persons (2 single beds or one double bed). A large range of restaurants can be found downtown. Residence Fourier (University Hall, 19 Chemin de L'epitaphe, on campus): rooms with common bathroom price for students: 500F for 2 weeks for non-students: 650F for 2 weeks Breakfast, lunch, dinner are served every day at the university restaurant (optional). ============================================================================ If you wish to participate to the summer school, please fill and return the following, by May 15th (before April 25th for financial support) - --------------------------------------------------------------------------- REGISTRATION FORM - ----------------- Name: Institution: adress: phone: fax: e-mail: student - faculty I will attend the summer school in Besancon: Yes - No date of arrival: departure: I want to present a short lecture: Yes - No title: I want to have a room reserved: Yes - No from: .... for: ... nights in: hotel de Paris - Residence Fourier type of room: I want to apply for partial support from: Socrates Intensive Programm - university: GDR analyse fonctionnelle et harmonique - universite: other: Remarks: - -- Florence Lancien Département de Mathématiques Université de Franche-Comté 16, Route de Gray 25030 BESANCON, FRANCE tel: (33) 3 81 66 64 64 mailto:FLancien at math.univ-fcomte.fr
From alspach Tue Apr 11 09:00:11 2000
Return-Path: <alspach> Received: (from alspach at localhost) by www.math.okstate.edu (8.9.3/8.9.3) id JAA00811; Tue, 11 Apr 2000 09:00:11 -0500 Date: Tue, 11 Apr 2000 09:00:11 -0500 From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200004111400.JAA00811 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at math.okstate.edu Subject: Abstract of a paper by Vladimir G. Troitsky Status: R
This is an announcement for the paper "Spectral radii of bounded operators on topological vector spaces" by Vladimir G. Troitsky. Abstract: In this paper we develop a version of spectral theory for bounded linear operators on topological vector spaces. We show that the Gelfand formula for spectral radius and Neumann series can still be naturally interpreted for operators on topological vector spaces. Of course, the resulting theory has many similarities to the conventional spectral theory of bounded operators on Banach spaces, though there are several important differences. The main difference is that an operator on a topological vector space has several spectra and several spectral radii, which fit a well-organized pattern. Archive classification: Functional Analysis; Spectral Theory Mathematics Subject Classification: 46A03; 46H35; 47L10; 35P05 Remarks: 36 pages The source file(s), radii-tvs.tex: 136897 bytes, is(are) stored in gzipped form as 0004049.gz with size 35kb. The corresponding postcript file has gzipped size 136kb. Submitted from: vladimir at math.utexas.edu The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0004049 or http://xxx.lanl.gov/abs/math.FA/0004049 or by email in unzipped form by transmitting an empty message with subject line uget 0004049 or in gzipped form by using subject line get 0004049 to: math at xxx.lanl.gov.
From alspach Fri Apr 14 09:02:32 2000
Return-Path: <alspach> Received: (from alspach at localhost) by www.math.okstate.edu (8.9.3/8.9.3) id JAA28072; Fri, 14 Apr 2000 09:02:32 -0500 Date: Fri, 14 Apr 2000 09:02:32 -0500 From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200004141402.JAA28072 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at math.okstate.edu Subject: Abstract of a paper by F. Bombal and I. Villanueva Status: R
This is an announcement for the paper "On the Dunford-Pettis Property of the tensor product of C(K) spaces" by F. Bombal and I. Villanueva. Abstract: We characterize those compact Hausdorff spaces K such that the proyective tensor product of C(K) by itself has the Dunford-Pettis Property, answering thus in the negative a question posed by Castillo and Gonzalez. Archive classification: Functional Analysis Mathematics Subject Classification: 46B28; 47B07 Remarks: 5 pages The source file(s), dunpet.tex: 14137 bytes, is(are) stored in gzipped form as 0004087.gz with size 5kb. The corresponding postcript file has gzipped size 33kb. Submitted from: fernando_bombal at mat.ucm.es The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0004087 or http://xxx.lanl.gov/abs/math.FA/0004087 or by email in unzipped form by transmitting an empty message with subject line uget 0004087 or in gzipped form by using subject line get 0004087 to: math at xxx.lanl.gov.
From alspach Fri Apr 14 09:06:11 2000
Return-Path: <alspach> Received: (from alspach at localhost) by www.math.okstate.edu (8.9.3/8.9.3) id JAA28202; Fri, 14 Apr 2000 09:06:11 -0500 Date: Fri, 14 Apr 2000 09:06:11 -0500 From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200004141406.JAA28202 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at math.okstate.edu Subject: Abstract of a paper by Manuel Gonzalez and Joaquin M. Gutierrez Status: R
This is an announcement for the paper "Surjective factorization of holomorphic mappings" by Manuel Gonzalez and Joaquin M. Gutierrez. Abstract: We characterize the holomorphic mappings $f$ between complex Banach spaces that may be written in the form $f=T\circ g$, where $g$ is another holomorphic mapping and $T$ belongs to a closed surjective operator ideal. Archive classification: Functional Analysis Mathematics Subject Classification: 46G20; 47L20 Remarks: 8 pages The source file(s), sfhm.tex: 26203 bytes, is(are) stored in gzipped form as 0003124.gz with size 8kb. The corresponding postcript file has gzipped size 49kb. Submitted from: jgutierrez at math.etsii.upm.es The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0003124 or http://xxx.lanl.gov/abs/math.FA/0003124 or by email in unzipped form by transmitting an empty message with subject line uget 0003124 or in gzipped form by using subject line get 0003124 to: math at xxx.lanl.gov.
From alspach Fri Apr 14 09:09:28 2000
Return-Path: <alspach> Received: (from alspach at localhost) by www.math.okstate.edu (8.9.3/8.9.3) id JAA28254; Fri, 14 Apr 2000 09:09:28 -0500 Date: Fri, 14 Apr 2000 09:09:28 -0500 From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200004141409.JAA28254 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at math.okstate.edu Subject: Abstract of a paper by Vladimir Pestov Status: R
This is an announcement for the paper "Ramsey--Milman phenomenon, Urysohn metric spaces, and extremely amenable groups" by Vladimir Pestov. Abstract: In this paper we further study links between concentration of measure in topological transformation groups, existence of fixed points, and Ramsey-type theorems for metric spaces. We prove that whenever the group $\Iso(\U)$ of isometries of Urysohn's universal complete separable metric space $\mathbb U$, equipped with the compact-open topology, acts upon an arbitrary compact space, it has a fixed point. The same is true if $\U$ is replaced with any generalized Urysohn metric space $U$ that is sufficiently homogeneous. Modulo a recent theorem by Uspenskij that every topological group embeds into a topological group of the form $\Iso(U)$, our result implies that every topological group embeds into an extremely amenable group (one admitting an invariant multiplicative mean on bounded right uniformly continuous functions). By way of the proof, we show that every topological group is approximated by finite groups in a certain weak sense. Our technique also results in a new proof of the extreme amenability (fixed point on compacta property) for infinite orthogonal groups. Going in the opposite direction, we deduce some Ramsey-type theorems for metric subspaces of Hilbert spaces and for spherical metric spaces from existing results on extreme amenability of infinite unitary groups and groups of isometries of Hilbert spaces. Archive classification: Functional Analysis; Dynamical Systems; General Topology Mathematics Subject Classification: 22F05; 05C55; 28C10; 43A05; 43A07 Report Number: SMCS-VUW 00-8 Remarks: 31 pages, LaTeX 2e The source file(s), urysohn.tex: 106876 bytes, is(are) stored in gzipped form as 0004010.gz with size 33kb. The corresponding postcript file has gzipped size 116kb. Submitted from: vova at mcs.vuw.ac.nz The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0004010 or http://xxx.lanl.gov/abs/math.FA/0004010 or by email in unzipped form by transmitting an empty message with subject line uget 0004010 or in gzipped form by using subject line get 0004010 to: math at xxx.lanl.gov.
From alspach Mon Apr 17 08:35:21 2000
Return-Path: <alspach> Received: (from alspach at localhost) by www.math.okstate.edu (8.9.3/8.9.3) id IAA23075; Mon, 17 Apr 2000 08:35:21 -0500 Date: Mon, 17 Apr 2000 08:35:21 -0500 From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200004171335.IAA23075 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at math.okstate.edu Subject: Abstract of a paper by Manuel Gonzalez and Joaquin M. Gutierrez Status: R
This is an announcement for the paper "The Dunford-Pettis property on tensor products" by Manuel Gonzalez and Joaquin M. Gutierrez. Abstract: We show that, in some cases, the projective and the injective tensor products of two Banach spaces do not have the Dunford-Pettis property (DPP). As a consequence, we obtain that $(c_0\widehat{\otimes}_\pi c_0)^{**}$ fails the DPP. Since $(c_0\widehat{\otimes}_\pi c_0)^{*}$ does enjoy it, this provides a new space with the DPP whose dual fails to have it. We also prove that, if $E$ and $F$ are ${\mathscr L}_1$-spaces, then $E\widehat{\otimes}_\epsilon F$ has the DPP if and only if both $E$ and $F$ have the Schur property. Other results and examples are given. Archive classification: Functional Analysis Mathematics Subject Classification: 46B20; 46B28 Remarks: 9 pages The source file(s), dpptp.tex: 32897 bytes, is(are) stored in gzipped form as 0004101.gz with size 10kb. The corresponding postcript file has gzipped size 57kb. Submitted from: jgutierrez at math.etsii.upm.es The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0004101 or http://xxx.lanl.gov/abs/math.FA/0004101 or by email in unzipped form by transmitting an empty message with subject line uget 0004101 or in gzipped form by using subject line get 0004101 to: math at xxx.lanl.gov.
From alspach Tue Apr 18 13:04:58 2000
Return-Path: <alspach> Received: (from alspach at localhost) by www.math.okstate.edu (8.9.3/8.9.3) id NAA03416; Tue, 18 Apr 2000 13:04:58 -0500 Date: Tue, 18 Apr 2000 13:04:58 -0500 From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200004181804.NAA03416 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at math.okstate.edu Subject: Abstract of a paper by Ioannis Gasparis Status: R
This is an announcement for the paper "A continuum of totally incomparable hereditarily indecomposable Banach spaces" by Ioannis Gasparis. Abstract: A family is constructed of cardinality equal to the continuum, whose members are totally incomparable, reflexive, hereditarily indecomposable Banach spaces. Archive classification: Functional Analysis Mathematics Subject Classification: 46B03 Remarks: 18 pages, AMS-LaTeX The source file(s), tsir1.tex: 66763 bytes, is(are) stored in gzipped form as 0004106.gz with size 19kb. The corresponding postcript file has gzipped size 91kb. Submitted from: ioagaspa at math.okstate.edu The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0004106 or http://xxx.lanl.gov/abs/math.FA/0004106 or by email in unzipped form by transmitting an empty message with subject line uget 0004106 or in gzipped form by using subject line get 0004106 to: math at xxx.lanl.gov.
Return-Path: owner-banach at mail.math.okstate.edu Delivery-Date: Sun, 23 Apr 2000 16:14:38 -0500
Return-Path: <owner-banach at mail.math.okstate.edu> Received: from mail.math.okstate.edu (IDENT:majordomo at mail.math.okstate.edu [139.78.112.5]) by ms417l.math.okstate.edu (8.9.3/8.8.7) with ESMTP id QAA08324 for <alspach at ms417l.math.okstate.edu>; Sun, 23 Apr 2000 16:14:38 -0500 Received: (from majordomo at localhost) by mail.math.okstate.edu (8.8.7/8.8.7) id QAA06164 for banach-list; Sun, 23 Apr 2000 16:02:07 -0500 X-Authentication-Warning: mail.math.okstate.edu: majordomo set sender to owner-banach at mail.math.okstate.edu using -f Received: (from mail at localhost) by mail.math.okstate.edu (8.8.7/8.8.7) id QAA06160 for <banach at math.okstate.edu>; Sun, 23 Apr 2000 16:02:03 -0500 Received: from ms417l.math.okstate.edu(139.78.112.67) by mail.math.okstate.edu via smap (V2.1) id xma006158; Sun, 23 Apr 00 16:02:02 -0500 Received: from ms417l.math.okstate.edu (IDENT:alspach at localhost [127.0.0.1]) by ms417l.math.okstate.edu (8.9.3/8.8.7) with ESMTP id QAA08305 for <banach at math.okstate.edu>; Sun, 23 Apr 2000 16:09:59 -0500 Message-Id: <200004232109.QAA08305 at ms417l.math.okstate.edu> Reply-to: Carl Cowen <cowen at math.purdue.edu> To: banach at math.okstate.edu Subject: Wabash Modern Analysis Miniconference Date: Sun, 23 Apr 2000 16:09:59 -0500 From: Dale Alspach <alspach at ms417l.math.okstate.edu> Sender: owner-banach at mail.math.okstate.edu Precedence: bulk
************************************ WABASH MODERN ANALYSIS MINICONFERENCE OCTOBER 14, 15 AT IUPUI # The Wabash Modern Analysis Miniconference will be held October 14 and 15 # at Indiana University - Purdue University at Indianapolis. There will # be 7 hour speakers and a number of contributed 20 minute talks. # An announcement including a pre-registration form and a form to contribute # a 20 minute contributed paper at the conference will sent to those on # the mailing list in late August. To be put on the mailing list, send email # to cowen at math.purdue.edu For up-to-date information on speakers, abstracts, # hotel, etc., check the Wabash Web site: # http://www.math.purdue.edu/~cowen/Wabash.html # # ------- End of Forwarded Message
From alspach Tue Apr 25 09:19:26 2000
Return-Path: <alspach> Received: (from alspach at localhost) by www.math.okstate.edu (8.9.3/8.9.3) id JAA27971; Tue, 25 Apr 2000 09:19:26 -0500 Date: Tue, 25 Apr 2000 09:19:26 -0500 From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200004251419.JAA27971 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at math.okstate.edu Subject: Abstract of a paper by Narcisse Randrianantoanina Status: R
This is an announcement for the paper "Compact range property and operators on $C^*$-algebras" by Narcisse Randrianantoanina. Abstract: We prove that a Banach space $E$ has the compact range property (CRP) if and only if for any given $C^*$-algebra $\cal A$, every absolutely summing operator from $\cal A$ into $E$ is compact. Archive classification: Functional Analysis Remarks: 8 pages The source file(s), absum3.tex: 19579 bytes, is(are) stored in gzipped form as 0004145.gz with size 7kb. The corresponding postcript file has gzipped size 86kb. 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/0004145 or http://xxx.lanl.gov/abs/math.FA/0004145 or by email in unzipped form by transmitting an empty message with subject line uget 0004145 or in gzipped form by using subject line get 0004145 to: math at xxx.lanl.gov.
From alspach Tue Apr 25 09:20:36 2000
Return-Path: <alspach> Received: (from alspach at localhost) by www.math.okstate.edu (8.9.3/8.9.3) id JAA28023; Tue, 25 Apr 2000 09:20:36 -0500 Date: Tue, 25 Apr 2000 09:20:36 -0500 From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200004251420.JAA28023 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at math.okstate.edu Subject: Abstract of a paper by Narcisse Randrianantoanina Status: R
This is an announcement for the paper "Sequences in non-commutative $L^p$-spaces" by Narcisse Randrianantoanina. Abstract: Let $\cal M$ be a semi-finite von Neumann algebra equipped with a distinguished faithful, normal, semi-finite trace $\tau$. We introduce the notion of equi-integrability in non-commutative spaces and show that if a rearrangement invariant quasi-Banach function space $E$ on the positive semi-axis is $\alpha$-convex with constant $1$ and satisfies a non-trivial lower $q$-estimate with constant $1$, then the corresponding non-commutative space of measurable operators $E({\cal M}, \tau)$ has the following property: every bounded sequence in $E({\cal M}, \tau)$ has a subsequence that splits into a $E$-equi-integrable sequence and a sequence with pairwise disjoint projection supports. This result extends the well known Kadec-Pe\l czy\'nski subsequence decomposition for Banach lattices to non-commutative spaces. As applications, we prove that for $1\leq p <\infty$, every subspace of $L^p(\cal M, \tau)$ either contains almost isometric copies of $\ell^p$ or is strongly embedded in $L^p(\cal M, \tau)$. Archive classification: Functional Analysis Mathematics Subject Classification: 46L50,47D15 Remarks: 18 pages The source file(s), decomp.tex: 60323 bytes, is(are) stored in gzipped form as 0004144.gz with size 16kb. The corresponding postcript file has gzipped size 83kb. 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/0004144 or http://xxx.lanl.gov/abs/math.FA/0004144 or by email in unzipped form by transmitting an empty message with subject line uget 0004144 or in gzipped form by using subject line get 0004144 to: math at xxx.lanl.gov.
From alspach Tue Apr 25 09:21:41 2000
Return-Path: <alspach> Received: (from alspach at localhost) by www.math.okstate.edu (8.9.3/8.9.3) id JAA28065; Tue, 25 Apr 2000 09:21:41 -0500 Date: Tue, 25 Apr 2000 09:21:41 -0500 From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200004251421.JAA28065 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at math.okstate.edu Subject: Abstract of a paper by Narcisse Randrianantoanina Status: R
This is an announcement for the paper "Embeddings of $\ell_p$ into non-commutative spaces" by Narcisse Randrianantoanina. Abstract: Let $\M$ be a semi-finite von Neumann algebra equipped with a faithful normal trace $\tau$. We study the subspace structures of non-commutative Lorentz spaces $L_{p,q}(\M, \tau)$, extending results of Carothers and Dilworth to the non-commutative settings. In particular, we show that, under natural conditions on indices, $\ell_p$ can not be embedded into $L_{p,q}(\M, \tau)$. As applications, we prove that for $0<p<\infty$ with $p \neq 2$ then $\ell_p$ cannot be strongly embedded into $L_p(\M,\tau)$. Thus providing a non-commutative extension of a result of Kalton for $0<p<1$ and a result of Rosenthal for $1\leq p <2$ on $L_p[0,1]$. Archive classification: Functional Analysis Mathematics Subject Classification: 46L50; 47D15 Remarks: 21 pages The source file(s), embed.tex: 60865 bytes, is(are) stored in gzipped form as 0004146.gz with size 17kb. The corresponding postcript file has gzipped size 88kb. 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/0004146 or http://xxx.lanl.gov/abs/math.FA/0004146 or by email in unzipped form by transmitting an empty message with subject line uget 0004146 or in gzipped form by using subject line get 0004146 to: math at xxx.lanl.gov.
From alspach Thu Apr 27 10:58:21 2000
Return-Path: <alspach> Received: (from alspach at localhost) by www.math.okstate.edu (8.9.3/8.9.3) id KAA24619; Thu, 27 Apr 2000 10:58:21 -0500 Date: Thu, 27 Apr 2000 10:58:21 -0500 From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200004271558.KAA24619 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at math.okstate.edu Subject: Abstract of a paper by Maria Girardi Status: R
This is an announcement for the paper "The dual of the James Tree space is asymptotically uniformly convex" by Maria Girardi. Abstract: The dual of the James Tree space is asymptotically uniformly convex. Archive classification: Functional Analysis Mathematics Subject Classification: 46B20 (primary); 46B22, 46B99 (secondary) Remarks: 13 pages. See also http://www.math.sc.edu/~girardi/ The source file(s), z.tex: 33436 bytes, is(are) stored in gzipped form as 0004166.gz with size 11kb. The corresponding postcript file has gzipped size 57kb. Submitted from: girardi at math.sc.edu The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0004166 or http://xxx.lanl.gov/abs/math.FA/0004166 or by email in unzipped form by transmitting an empty message with subject line uget 0004166 or in gzipped form by using subject line get 0004166 to: math at xxx.lanl.gov.
From alspach Fri Apr 28 08:13:14 2000
Return-Path: <alspach> Received: (from alspach at localhost) by www.math.okstate.edu (8.9.3/8.9.3) id IAA03462; Fri, 28 Apr 2000 08:13:13 -0500 Date: Fri, 28 Apr 2000 08:13:13 -0500 From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200004281313.IAA03462 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at math.okstate.edu Subject: Abstract of a paper by S. J. Dilworth, Maria Girardi and J. Hagler Status: R
This is an announcement for the paper "Dual Banach spaces which contain an isometric copy of $L_1$" by S. J. Dilworth, Maria Girardi and J. Hagler . Abstract: A Banach space contains asymptotically isometric copies of $\ell_1$ if and only if its dual space contains an isometric copy of $L_1$. Archive classification: Functional Analysis Mathematics Subject Classification: 46B04 (primary) ; 46B20 (secondary) Remarks: 12 pages The source file(s), 990704.tex: 37980 bytes, is(are) stored in gzipped form as 0004168.gz with size 12kb. The corresponding postcript file has gzipped size 61kb. Submitted from: girardi at math.sc.edu The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0004168 or http://xxx.lanl.gov/abs/math.FA/0004168 or by email in unzipped form by transmitting an empty message with subject line uget 0004168 or in gzipped form by using subject line get 0004168 to: math at xxx.lanl.gov.
From alspach Wed May 3 08:40:06 2000
Return-Path: <alspach> Received: (from alspach at localhost) by www.math.okstate.edu (8.9.3/8.9.3) id IAA23225; Wed, 3 May 2000 08:40:06 -0500 Date: Wed, 3 May 2000 08:40:06 -0500 From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200005031340.IAA23225 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at 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 "Functions of Baire class one" by Denny H. Leung and Wee-Kee Tang. Abstract: Let $K$ be a compact metric space. A real-valued function on $K$ is said to be of Baire class one (Baire-$1$) if it is the pointwise limit of a sequence of continuous functions. In this paper, we study two well known ordinal indices of Baire-$1$ functions, the oscillation index $\beta$ and the convergence index $\gamma$. It is shown that these two indices are fully compatible in the following sense : a Baire-$1$ function $f$ satisfies $\beta(f) \leq \omega^{\xi_1} \cdot \omega^{\xi_2}$ for some countable ordinals $\xi_1$ and $\xi_2$ if and only if there exists a sequence of Baire-$1$ functions $(f_n)$ converging to $f$ pointwise such that $\sup_n\beta(f_n) \leq \omega^{\xi_1}$ and $\gamma((f_n)) \leq \omega^{\xi_2}$. We also obtain an extension result for Baire-$1$ functions analogous to the Tietze Extension Theorem. Finally, it is shown that if $\beta(f) \leq \omega^{\xi_1}$ and $\beta(g) \leq \omega^{\xi_2},$ then $\beta(fg) \leq \omega^{\xi},$ where $\xi=\max\{\xi_1+\xi_2,\,\xi_2+\xi_1}\}.$ These results do not assume the boundedness of the functions involved. Archive classification: Classical Analysis; Functional Analysis Mathematics Subject Classification: 26A21, 03E15, 54C30 The source file(s), Baire.TEX: 83397 bytes, is(are) stored in gzipped form as 0005013.gz with size 18kb. The corresponding postcript file has gzipped size 93kb. Submitted from: matlhh at nus.edu.sg The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.CA/0005013 or http://xxx.lanl.gov/abs/math.CA/0005013 or by email in unzipped form by transmitting an empty message with subject line uget 0005013 or in gzipped form by using subject line get 0005013 to: math at xxx.lanl.gov.
From alspach Mon May 8 08:26:44 2000
Return-Path: <alspach> Received: (from alspach at localhost) by www.math.okstate.edu (8.9.3/8.9.3) id IAA00834; Mon, 8 May 2000 08:26:44 -0500 Date: Mon, 8 May 2000 08:26:44 -0500 From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200005081326.IAA00834 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at math.okstate.edu Subject: Abstract of a paper by S.V.Astashkin Status: R
This is an announcement for the paper "Disjointly strictly singular inclusions of symmetric spaces" by S.V.Astashkin. Abstract: A condition for the presence of a "gap" between symmetric spaces sufficient for the inclusion of one of these spaces into the other to be disjointly strictly singular is found. This condition is stated in terms of fundamental functions of spaces and is exact in a certain sense. In parallel, necessary and sufficient conditions for an inclusion of Lorentz spaces to be disjointly strictly singular are obtained. Archive classification: Functional Analysis; Classical Analysis Mathematics Subject Classification: 46B42 (primary), 46B20 (secondary) Citation: Mathematical Notes, V. 65, No. 1 (1999), P. 3 -- 12 Remarks: 12 pages The source file(s), Dss.tex: 29639 bytes, is(are) stored in gzipped form as 0005027.gz with size 10kb. The corresponding postcript file has gzipped size 52kb. Submitted from: astashkn at ssu.samara.ru The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0005027 or http://xxx.lanl.gov/abs/math.FA/0005027 or by email in unzipped form by transmitting an empty message with subject line uget 0005027 or in gzipped form by using subject line get 0005027 to: math at xxx.lanl.gov.
From alspach Thu May 11 13:19:38 2000
Return-Path: <alspach> Received: (from alspach at localhost) by www.math.okstate.edu (8.9.3/8.9.3) id NAA03384; Thu, 11 May 2000 13:19:38 -0500 Date: Thu, 11 May 2000 13:19:38 -0500 From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200005111819.NAA03384 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at math.okstate.edu Subject: Abstract of a paper by Gilles Pisier Status: R
This is an announcement for the paper "Similarity problems and length" by Gilles Pisier. Abstract: This is a survey of the author's recent results on the Kadison and Halmos similarity problems and the closely connected notion of ``length'' of an operator algebra. Archive classification: Operator Algebras; Functional Analysis Mathematics Subject Classification: 47D25 The source file(s), taiwan: 39983 bytes, is(are) stored in gzipped form as 0005077.gz with size 15kb. The corresponding postcript file has gzipped size 58kb 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/0005077 or http://xxx.lanl.gov/abs/math.OA/0005077 or by email in unzipped form by transmitting an empty message with subject line uget 0005077 or in gzipped form by using subject line get 0005077 to: math at xxx.lanl.gov.
From alspach Thu May 11 13:21:06 2000
Return-Path: <alspach> Received: (from alspach at localhost) by www.math.okstate.edu (8.9.3/8.9.3) id NAA03436; Thu, 11 May 2000 13:21:06 -0500 Date: Thu, 11 May 2000 13:21:06 -0500 From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200005111821.NAA03436 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at math.okstate.edu Subject: Abstract of a paper by Nakhle Asmar and Stephen Montgomery-Smith Status: R
This is an announcement for the paper "Decomposition of analytic measures on groups and measure spaces" by Nakhle Asmar and Stephen Montgomery-Smith. Abstract: This paper provides a new approach to proving generalizations of the F.&M. Riesz Theorem, for example, the result of Helson and Lowdenslager, the result of Forelli (and de Leeuw and Glicksberg), and more recent results of Yamagushi. We study actions of a locally compact abelian group with ordered dual onto a space of measures, and consider those measures that are analytic, that is, the spectrum of the action on the measure is contained within the positive elements of the dual of the group. The classical results tell us that the singular and absolutely continuous parts of the measure (with respect to a suitable measure) are also analytic. The approach taken in this paper is to adopt the transference principle developed by the authors and Saeki in another paper, and apply it to martingale inequalities of Burkholder and Garling. In this way, we obtain a decomposition of the measures, and obtain the above mentioned results as corollaries. Archive classification: Functional Analysis Mathematics Subject Classification: 43A05 43A17 43A45 43A46 Remarks: Also available at http://www.math.missouri.edu/~stephen/preprints/ The source file(s), helson-lowdenslager3.tex: 75124 bytes, is(are) stored in gzipped form as 0005099.gz with size 20kb. The corresponding postcript file has gzipped size 82kb Submitted from: stephen at math.missouri.edu The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0005099 or http://xxx.lanl.gov/abs/math.FA/0005099 or by email in unzipped form by transmitting an empty message with subject line uget 0005099 or in gzipped form by using subject line get 0005099 to: math at xxx.lanl.gov.
Return-Path: owner-banach at mail.math.okstate.edu Delivery-Date: Thu, 11 May 2000 11:52:31 -0500
Return-Path: <owner-banach at mail.math.okstate.edu> Received: from mail.math.okstate.edu (IDENT:majordomo at mail.math.okstate.edu [139.78.112.5]) by ms417l.math.okstate.edu (8.9.3/8.8.7) with ESMTP id LAA20895 for <alspach at ms417l.math.okstate.edu>; Thu, 11 May 2000 11:52:30 -0500 Received: (from majordomo at localhost) by mail.math.okstate.edu (8.8.7/8.8.7) id MAA28394 for banach-list; Thu, 11 May 2000 12:43:22 -0500 X-Authentication-Warning: mail.math.okstate.edu: majordomo set sender to owner-banach at mail.math.okstate.edu using -f Received: (from mail at localhost) by mail.math.okstate.edu (8.8.7/8.8.7) id MAA28390 for <banach at mail.math.okstate.edu>; Thu, 11 May 2000 12:43:19 -0500 Received: from ms417l.math.okstate.edu(139.78.112.67) by mail.math.okstate.edu via smap (V2.1) id xma028388; Thu, 11 May 00 12:43:03 -0500 Received: from ms417l.math.okstate.edu (IDENT:alspach at localhost [127.0.0.1]) by ms417l.math.okstate.edu (8.9.3/8.8.7) with ESMTP id LAA20866 for <banach at math.okstate.edu>; Thu, 11 May 2000 11:44:31 -0500 Message-Id: <200005111644.LAA20866 at ms417l.math.okstate.edu> X-Mailer: exmh version 2.0.3 Reply-to: Bill Johnson <Bill.Johnson at math.tamu.edu> To: banach at math.okstate.edu Subject: Workshop at A&M Mime-Version: 1.0 Content-Type: text/plain; charset=us-ascii Date: Thu, 11 May 2000 11:44:31 -0500 From: Dale Alspach <alspach at math.okstate.edu> Sender: owner-banach at mail.math.okstate.edu Precedence: bulk
Workshop in Linear Analysis and Probability Department of Mathematics Texas A&M University Summer 2000 The Summer 2000 session of the Workshop in Linear Analysis and Probability at Texas A&M University will be in session from July 10 until August 18. SUMIRFAS will be held August 11-13. For inform- ation about the Workshop, consult the Workshop Home Page, URL http://www.math.tamu.edu/research/workshops/linanalysis/ The Workshop is supported in part by grants from the National Science Foundation. Limited support for local expenses is available. For logistical help, including requests for support, please contact Cheryl Rogers (cherylr at math.tamu.edu). For more information on the Workshop itself, please contact William Johnson (johnson at math.tamu.edu), David Larson (larson at math.tamu.edu), Gilles Pisier (pisier at math.tamu.edu), or Joel Zinn (jzinn at math.tamu.edu).
Return-Path: owner-banach at mail.math.okstate.edu Delivery-Date: Tue, 16 May 2000 07:24:32 -0500
Return-Path: <owner-banach at mail.math.okstate.edu> Received: from mail.math.okstate.edu (IDENT:majordomo at mail.math.okstate.edu [139.78.112.5]) by ms417l.math.okstate.edu (8.9.3/8.8.7) with ESMTP id HAA06550 for <alspach at ms417l.math.okstate.edu>; Tue, 16 May 2000 07:24:32 -0500 Received: (from majordomo at localhost) by mail.math.okstate.edu (8.8.7/8.8.7) id IAA20157 for banach-list; Tue, 16 May 2000 08:16:24 -0500 X-Authentication-Warning: mail.math.okstate.edu: majordomo set sender to owner-banach at mail.math.okstate.edu using -f Received: (from mail at localhost) by mail.math.okstate.edu (8.8.7/8.8.7) id IAA20150 for <banach at mail.math.okstate.edu>; Tue, 16 May 2000 08:16:20 -0500 Received: from ms417l.math.okstate.edu(139.78.112.67) by mail.math.okstate.edu via smap (V2.1) id xma020146; Tue, 16 May 00 08:15:50 -0500 Received: from ms417l.math.okstate.edu (IDENT:alspach at localhost [127.0.0.1]) by ms417l.math.okstate.edu (8.9.3/8.8.7) with ESMTP id HAA06527 for <banach at math.okstate.edu>; Tue, 16 May 2000 07:17:59 -0500 Message-Id: <200005161217.HAA06527 at ms417l.math.okstate.edu> X-Mailer: exmh version 2.0.3 To: banach at math.okstate.edu Reply-to: Yves RAYNAUD <yr at ccr.jussieu.fr> Subject: european postdoc at Paris6 Mime-Version: 1.0 Content-Type: text/plain; charset=us-ascii Date: Tue, 16 May 2000 07:17:59 -0500 From: Dale Alspach <alspach at math.okstate.edu> Sender: owner-banach at mail.math.okstate.edu Precedence: bulk
<bold>Postdoctoral Position Available</bold> EEC Research Training Network '' Classical Analysis, Operator Theory, Geometry of Banach spaces, their interplay and their applications'', contract N=BA HPRN-CT-2000-00116 A postdoctoral position is available at the Equipe d'Analyse of the University Paris-6 from September 2000 to August 2001, related to the above-referenced Research Training Network of the European Commission. Applicants must be citizens of a Member State of the Community (except France) or of an Associated State (see list below), or have resided in the Community for at least five years at the time of appointment. They must be 35 years old or younger at the time of appointment, and have obtained a PhD in mathematics. The amount of the grant will be close to 1800 euros/month (social security charges deducted). Relocation costs at the beginning of the stay will be reimbursed within the limit of 900 euros. During the stay an additional return trip to the country of origin (European or Associated state) can be paid. Researchers in any area of mathematics covered by the network will be considered, but the following mathematical themes are closer to the mathematicians of the local node of the network (which includes also a significant part of the Equipe d'Analyse et Probabilites appliquees of the University of Marne-la-Vallee) : *Geometry of Banach spaces *Operator spaces, non commutative L_p spaces and non commutative probability *Convex sets (and related questions in Riemannian Geometry) *Geometric inequalities; isoperimetric problems Applicants are requested to provide the following documents: * Research project of the candidate * Curriculum vitae and list of publications * A copy of passport or identity card These documents should be sent to the node coordinator, Yves Raynaud, and to the project coordinator, Jean Esterle, at the addresses given below. They should arrive before <bold>June 10</bold>. Yves Raynaud Equipe d'Analyse Universite Paris 6 4, place Jussieu 75252 Paris Cedex 05 France E-mail: yr at ccr.jussieu.fr Fax: 33 1 44 27 25 55 Jean Esterle Laboratoire de Mathematiques Pures 351 Cours de la Liberation 33405 Talence, France E-mail: esterle at math-u-bordeaux.fr The principal nodes of the network, with main contact person, are the following: Bordeaux Nikolai Nikolski nikolski at math.u-bordeaux.fr Amsterdam Marinus Kaashoek Kaash at few.vu.nl Barcelona Joaquim Bruna bruna at mat.uab.es Dublin Stephen Gardiner stephen.gardinaer at ucd.ie Leeds Jonathan Partington j.r.partington at adm.leeds.ac.uk Paris Yves Raynaud yr at ccr.jussieu.fr Trondheim Kristian Seip seip at math.ntnu.no Vienna Heinz Langer heinz.langer at tuwien.ac.at Tel Aviv Aharon Atzmon aatzmon at math.tau.ac.il St.Petersburg Sergei Kislyakov skis at pdmi.ras.ru <bold>List of Associated States</bold> (at 16.03.2000) Bulgaria, Republic of Cyprus, Czech Republic, Estonia, Hungary, Latvia, Lithuania, Poland, Romania, Slovakia, Slovenia. Iceland, Liechtenstein, Norway. Israel.
From alspach Wed May 17 08:12:35 2000
Return-Path: <alspach> Received: (from alspach at localhost) by www.math.okstate.edu (8.9.3/8.9.3) id IAA26195; Wed, 17 May 2000 08:12:35 -0500 Date: Wed, 17 May 2000 08:12:35 -0500 From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200005171312.IAA26195 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at math.okstate.edu Subject: Abstract of a paper by U. Haagerup, H.P. Rosenthal and F.A. Sukochev Status: R
This is an announcement for the paper "Banach embedding properties of non-commutative L^p-spaces" by U. Haagerup, H.P. Rosenthal and F.A. Sukochev. Abstract: Let N and M be von Neumann algebras. It is proved that L^p(N) does not Banach embed in L^p(M) for N infinite, M finite, 1 < or = p < 2. The following considerably stronger result is obtained (which implies this, since the Schatten p-class C_p embeds in L^p(N) for N infinite). Theorem: Let 1 < or = p < 2 and let X be a Banach space with a spanning set (x_{ij}) so that for some C < or = 1: (i) any row or column is C-equivalent to the usual ell^2-basis; (ii) (x_{i_k,j_k}) is C-equivalent to the usual ell^p-basis, for any i_1 < i_2 < ... and j_1 < j_2 < ... . Then X is not isomorphic to a subspace of L^p(M), for M finite. Complements on the Banach space structure of non-commutative L^p-spaces are obtained, such as the p-Banach-Saks property and characterizations of subspaces of L^p(M) containing ell^p isomorphically. The spaces L^p(N) are classified up to Banach isomorphism, for N infinite-dimensional, hyperfinite and semifinite, 1 < or = p< infty, p not= 2. It is proved that there are exactly thirteen isomorphism types; the corresponding embedding properties are determined for p < 2 via an eight level Hasse diagram. It is also proved for all 1 < or = p < infty that L^p(N) is completely isomorphic to L^p(M) if N and M are the algebras associated to free groups, or if N and M are injective factors of type III_lambda and III_{lambda'} for 0 < lambda, lambda' < or = 1. Archive classification: Functional Analysis Mathematics Subject Classification: 46B20, 46L10, 46L52, 47L25 (Primary) Report Number: ut-ma/00-03 Remarks: 54 pp., LaTeX The source file(s), hrs-LANL.tex: 200993 bytes, is(are) stored in gzipped form as 0005150.gz with size 57kb. The corresponding postcript file has gzipped size 209kb Submitted from: combs at math.utexas.edu The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0005150 or http://xxx.lanl.gov/abs/math.FA/0005150 or by email in unzipped form by transmitting an empty message with subject line uget 0005150 or in gzipped form by using subject line get 0005150 to: math at xxx.lanl.gov.
Return-Path: owner-banach at mail.math.okstate.edu Delivery-Date: Thu, 11 May 2000 11:52:31 -0500
Return-Path: <owner-banach at mail.math.okstate.edu> Received: from mail.math.okstate.edu (IDENT:majordomo at mail.math.okstate.edu [139.78.112.5]) by ms417l.math.okstate.edu (8.9.3/8.8.7) with ESMTP id LAA20895 for <alspach at ms417l.math.okstate.edu>; Thu, 11 May 2000 11:52:30 -0500 Received: (from majordomo at localhost) by mail.math.okstate.edu (8.8.7/8.8.7) id MAA28394 for banach-list; Thu, 11 May 2000 12:43:22 -0500 X-Authentication-Warning: mail.math.okstate.edu: majordomo set sender to owner-banach at mail.math.okstate.edu using -f Received: (from mail at localhost) by mail.math.okstate.edu (8.8.7/8.8.7) id MAA28390 for <banach at mail.math.okstate.edu>; Thu, 11 May 2000 12:43:19 -0500 Received: from ms417l.math.okstate.edu(139.78.112.67) by mail.math.okstate.edu via smap (V2.1) id xma028388; Thu, 11 May 00 12:43:03 -0500 Received: from ms417l.math.okstate.edu (IDENT:alspach at localhost [127.0.0.1]) by ms417l.math.okstate.edu (8.9.3/8.8.7) with ESMTP id LAA20866 for <banach at math.okstate.edu>; Thu, 11 May 2000 11:44:31 -0500 Message-Id: <200005111644.LAA20866 at ms417l.math.okstate.edu> X-Mailer: exmh version 2.0.3 Reply-to: Bill Johnson <Bill.Johnson at math.tamu.edu> To: banach at math.okstate.edu Subject: Workshop at A&M Mime-Version: 1.0 Content-Type: text/plain; charset=us-ascii Date: Thu, 11 May 2000 11:44:31 -0500 From: Dale Alspach <alspach at math.okstate.edu> Sender: owner-banach at mail.math.okstate.edu Precedence: bulk
Workshop in Linear Analysis and Probability Department of Mathematics Texas A&M University Summer 2000 The Summer 2000 session of the Workshop in Linear Analysis and Probability at Texas A&M University will be in session from July 10 until August 18. SUMIRFAS will be held August 11-13. For inform- ation about the Workshop, consult the Workshop Home Page, URL http://www.math.tamu.edu/research/workshops/linanalysis/ The Workshop is supported in part by grants from the National Science Foundation. Limited support for local expenses is available. For logistical help, including requests for support, please contact Cheryl Rogers (cherylr at math.tamu.edu). For more information on the Workshop itself, please contact William Johnson (johnson at math.tamu.edu), David Larson (larson at math.tamu.edu), Gilles Pisier (pisier at math.tamu.edu), or Joel Zinn (jzinn at math.tamu.edu).
From alspach Tue May 23 08:22:08 2000
Return-Path: <alspach> Received: (from alspach at localhost) by www.math.okstate.edu (8.9.3/8.9.3) id IAA23108; Tue, 23 May 2000 08:22:08 -0500 Date: Tue, 23 May 2000 08:22:08 -0500 From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200005231322.IAA23108 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at math.okstate.edu Subject: Abstract of a paper by C. A. Akemann, G. C. Shell, and N. Weaver Status: R
This is an announcement for the paper "Locally nonconical convexity" by C. A. Akemann, G. C. Shell, and N. Weaver. Abstract: There is a hierarchy of structure conditions for convex sets. In this paper we study a recently defined [3, 8, 9] condition called locally nonconical convexity (abbreviated LNC). Is is easy to show that every strictly convex set is LNC, as are half-spaces and finite intersections of sets of either of these types, but many more sets are LNC. For instance, every zonoid (the range of a nonatomic vector-valued measure) is LNC (Corollary 34). However, there are no infinite-dimensional compact LNC sets (Theorem 23). The LNC concept originated in a search for continuous sections, and the present paper shows how it leads naturally (and constructively) to continuous sections in a variety of situations. Let Q be a compact, convex set in R<sup>n</sup>, and let T be a linear map from R<sup>n</sup> into R<sup>m</sup>. We show (Theorem 1) that Q is LNC if and only if the restriction of any such T to Q is an open map of Q onto T(Q). This implies that if Q is LNC, then any such T has continuous sections (i.e. there are continuous right inverses of T) that map from T(Q) to Q, and in fact it is possible to define continuous sections constructively in various natural ways (Theorem 3, Corollary 4, and Theorem 5). If Q is strictly convex and T is not 1-1, we can construct continuous sections which take values in the boundary of Q (Theorem 6). When we give up compactness it is natural to consider a closed, convex, LNC subset Q of a Hilbert space X which may be infinite-dimensional. In this case we must assume that T is left Fredholm, i.e. a bounded linear map with closed range and finite-dimensional kernel. We can then prove results analogous to those mentioned in the last paragraph (Theorems 16-20). We also prove that T(Q) is LNC (Theorem 25). Archive classification: Functional Analysis; Metric Geometry Mathematics Subject Classification: 52A20, 52A07, 46A55, 46C05 Remarks: 23 pages The source file(s), lnc4.tex: 71910 bytes, is(are) stored in gzipped form as 0005194.gz with size 21kb. The corresponding postcript file has gzipped size 81kb. Submitted from: nweaver at sulu.wustl.edu The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0005194 or http://xxx.lanl.gov/abs/math.FA/0005194 or by email in unzipped form by transmitting an empty message with subject line uget 0005194 or in gzipped form by using subject line get 0005194 to: math at xxx.lanl.gov.
From alspach Fri Jun 9 15:24:01 2000
Return-Path: <alspach> Received: (from alspach at localhost) by www.math.okstate.edu (8.9.3/8.9.3) id PAA23380; Fri, 9 Jun 2000 15:24:01 -0500 Date: Fri, 9 Jun 2000 15:24:01 -0500 From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200006092024.PAA23380 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at math.okstate.edu Subject: Abstract of a paper by Vladimir Kadets, Roman Shvidkoy, and Dirk Werner Status: R
This is an announcement for the paper "A general approach to narrow operators and rich subspaces of Banach spaces" by Vladimir Kadets, Roman Shvidkoy, and Dirk Werner. Abstract: Let $X$ be a Banach space. We introduce a formal approach which seems to be useful in the study of those properties of operators on $X$ which depend only on the norms of elements. This approach is applied to the Daugavet equation for norms of operators; in particular we develop a general theory of narrow operators and rich subspaces of $X$ previously studied in the context of the classical spaces $C(K)$ and $L_1(\mu)$. Archive classification: Functional Analysis Mathematics Subject Classification: 46B20; 46B04; 47B38 Remarks: LaTeX2e, 26 pages The source file(s), dauga6.tex: 85184 bytes, is(are) stored in gzipped form as 0005278.gz with size 25kb. The corresponding postcript file has gzipped size 99kb. Submitted from: dirk.werner at nuigalway.ie The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0005278 or http://xxx.lanl.gov/abs/math.FA/0005278 or by email in unzipped form by transmitting an empty message with subject line uget 0005278 or in gzipped form by using subject line get 0005278 to: math at xxx.lanl.gov.
From alspach Fri Jun 9 15:28:04 2000
Return-Path: <alspach> Received: (from alspach at localhost) by www.math.okstate.edu (8.9.3/8.9.3) id PAA23462; Fri, 9 Jun 2000 15:28:04 -0500 Date: Fri, 9 Jun 2000 15:28:04 -0500 From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200006092028.PAA23462 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at math.okstate.edu Subject: Abstract of a paper by Andreas Defant, Mieczyslaw Mastylo and Carsten Michels Status: R
This is an announcement for the paper "Summing inclusion maps between symmetric sequence spaces" by Andreas Defant, Mieczyslaw Mastylo and Carsten Michels. Abstract: We prove a substantial extension of a well-known result due to Bennett and Carl: The inclusion of a 2-concave symmetric Banach sequence space E into l_2 is (E,1)-summing, i.e. for every unconditionally summable sequence (x_n) in E the scalar sequence (||x_n||_2) is contained in E. Various applications are given, e.g. to the theory of eigenvalue distribution of compact operators and approximation theory. Archive classification: Functional Analysis Remarks: 22 pages The source file(s), Catmac.sty: 32784 bytes, dmm2000.tex: 63845 bytes, is(are) stored in gzipped form as 0006034.tar.gz with size 25kb. The corresponding postcript file has gzipped size 91kb. Submitted from: michels at mathematik.uni-oldenburg.de The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0006034 or http://xxx.lanl.gov/abs/math.FA/0006034 or by email in unzipped form by transmitting an empty message with subject line uget 0006034 or in gzipped form by using subject line get 0006034 to: math at xxx.lanl.gov.
From alspach Tue Jun 20 11:47:28 2000
Return-Path: <alspach> Received: (from alspach at localhost) by www.math.okstate.edu (8.9.3/8.9.3) id LAA05884; Tue, 20 Jun 2000 11:47:28 -0500 Date: Tue, 20 Jun 2000 11:47:28 -0500 From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200006201647.LAA05884 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at math.okstate.edu Subject: Abstract of a paper by S.V.Astashkin Status: R
This is an announcement for the paper "Rademacher chaos in symmetric spaces" by S.V.Astashkin. Abstract: Necessary and sufficient conditions for the equivalence of the Rademacher chaos to the canonical basis of l_2 and also for the complementability of the corresponding generated subspace are derived. In particular, we obtain the unimprovability of the exponential integrability of functions from this space. Archive classification: Functional Analysis; Classical Analysis Mathematics Subject Classification: 46B20 (primary), 42A55, 42A61 (secondary) Citation: East J. on approx., V.4, No. 3 (1998), 311 -- 336 Remarks: 26 pages The source file(s), Art1.tex: 48703 bytes, is(are) stored in gzipped form as 0006129.gz with size 16kb. The corresponding postcript file has gzipped size 84kb. Submitted from: astashkn at ssu.samara.ru The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0006129 or http://xxx.lanl.gov/abs/math.FA/0006129 or by email in unzipped form by transmitting an empty message with subject line uget 0006129 or in gzipped form by using subject line get 0006129 to: math at xxx.lanl.gov.
From alspach Tue Jun 20 11:49:50 2000
Return-Path: <alspach> Received: (from alspach at localhost) by www.math.okstate.edu (8.9.3/8.9.3) id LAA05926; Tue, 20 Jun 2000 11:49:49 -0500 Date: Tue, 20 Jun 2000 11:49:49 -0500 From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200006201649.LAA05926 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at math.okstate.edu Subject: Abstract of a paper by P. G. Casazza, C. L. Garcia and W. B. Johnson Status: R
This is an announcement for the paper "An example of an asymptotically Hilbertian space which fails the approximation property" by P. G. Casazza, C. L. Garcia and W. B. Johnson. Abstract: Following Davie's example of a Banach space failing the approximation property [D], we show how to construct a Banach space E which is asymptotically Hilbertian and fails the approximation property. Moreover, the space E is shown to be a subspace of a space with an unconditional basis which is ``almost'' a weak Hilbert space and which can be written as the direct sum of two subspaces all of whose subspaces have the approximation property. Archive classification: Functional Analysis Mathematics Subject Classification: 46B20; 46B07 Remarks: 7 pages The source file(s), casgarjohn.ltx: 20142 bytes, is(are) stored in gzipped form as 0006134.gz with size 7kb. The corresponding postcript file has gzipped size 40kb. Submitted from: cesar.garcia at math.tamu.edu The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0006134 or http://xxx.lanl.gov/abs/math.FA/0006134 or by email in unzipped form by transmitting an empty message with subject line uget 0006134 or in gzipped form by using subject line get 0006134 to: math at xxx.lanl.gov.
From alspach Mon Jul 10 12:04:16 2000
Return-Path: <alspach> Received: (from alspach at localhost) by www.math.okstate.edu (8.9.3/8.9.3) id MAA17282; Mon, 10 Jul 2000 12:04:15 -0500 Date: Mon, 10 Jul 2000 12:04:15 -0500 From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200007101704.MAA17282 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at math.okstate.edu Subject: Abstract of a paper by S.V.Astashkin Status: R
This is an announcement for the paper "Rademacher chaos in symmetric spaces,2" by S.V.Astashkin. Abstract: It is shown that a specific ordering of the Rademacher chaos leads to a basic sequence in a wide class of symmetric spaces on the segment [0,1]. Necessary and sufficient conditions on a such space are found for Rademacher chaos to possess the unconditionality property. Archive classification: Functional Analysis; Classical Analysis Mathematics Subject Classification: 46B20 (primary), 42A55,42A61 (secondary) Citation: East J. on Approx., V.6, No.1 (2000), 71 - 86 Remarks: 14 pages The source file(s), Art2.tex: 28607 bytes, is(are) stored in gzipped form as 0007041.gz with size 10kb. The corresponding postcript file has gzipped size 62kb. Submitted from: astashkn at ssu.samara.ru The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0007041 or http://arXiv.org/abs/math.FA/0007041 or by email in unzipped form by transmitting an empty message with subject line uget 0007041 or in gzipped form by using subject line get 0007041 to: math at arXiv.org.
From alspach at ms417l.math.okstate.edu Tue Jul 11 12:54:23 2000
Return-Path: owner-banach at mail.math.okstate.edu Delivery-Date: Tue, 11 Jul 2000 11:39:48 -0500
Return-Path: <owner-banach at mail.math.okstate.edu> Received: from mail.math.okstate.edu (IDENT:majordomo at mail.math.okstate.edu [139.78.112.5]) by ms417l.math.okstate.edu (8.9.3/8.8.7) with ESMTP id LAA01661 for <alspach at ms417l.math.okstate.edu>; Tue, 11 Jul 2000 11:39:48 -0500 Received: (from majordomo at localhost) by mail.math.okstate.edu (8.8.7/8.8.7) id MAA01803 for banach-list; Tue, 11 Jul 2000 12:34:14 -0500 X-Authentication-Warning: mail.math.okstate.edu: majordomo set sender to owner-banach at mail.math.okstate.edu using -f Received: (from mail at localhost) by mail.math.okstate.edu (8.8.7/8.8.7) id MAA01799 for <banach at mail.math.okstate.edu>; Tue, 11 Jul 2000 12:34:12 -0500 Received: from ms417l.math.okstate.edu(139.78.112.67) by mail.math.okstate.edu via smap (V2.1) id xma001797; Tue, 11 Jul 00 12:34:02 -0500 Received: from ms417l.math.okstate.edu (IDENT:alspach at localhost [127.0.0.1]) by ms417l.math.okstate.edu (8.9.3/8.8.7) with ESMTP id LAA01611 for <banach at math.okstate.edu>; Tue, 11 Jul 2000 11:35:00 -0500 Message-Id: <200007111635.LAA01611 at ms417l.math.okstate.edu> X-Mailer: exmh version 2.0.3 To: banach at math.okstate.edu Subject: SUMIRFAS Mime-Version: 1.0 Content-Type: text/plain; charset=us-ascii Reply-to: johnson at math.tamu.edu Date: Tue, 11 Jul 2000 11:35:00 -0500 From: Dale Alspach <alspach at math.okstate.edu> Sender: owner-banach at mail.math.okstate.edu Precedence: bulk
ANNOUNCEMENT OF SUMIRFAS '00 The Informal Regional Functional Analysis Seminar August 11-13 Texas A&M University, College Station Schedule: Talks for SUMIRFAS will be posted on the Workshop in Linear Analysis and Probability page, URL http://www.math.tamu.edu/research/workshops/linanalysis/ The Home Page also contains other information about the Workshop, including a list of participants and a schedule of seminars. Housing: Contact Cheryl Rogers, (cherylr at math.tamu.edu; 979/845-2915, office; 979/ 845-6028, fax) for help with housing. Please tell Cheryl the type of accommodation you desire (smoking or nonsmoking), which night(s) you need the room, and give her a roommate preference, if applicable. We expect to be able to cover housing, possibly in a double room, for most participants, from support the National Science Foundation has provided for the Workshop. Preference will be given to participants who do not have other sources of support, such as sponsored research grants. When you ask Cheryl to book your room, please tell her if you are requesting support. Rooms in CS are tight the weekend of SUMIRFAS as this is graduation weekend, so please act ASAP. Dinner: There will be a dinner at 6:30 p.m. on Saturday, August 12, at Imperial Chinese Restaurant, 2232 S. Texas Ave. in College Station. The cost for the subsidized dinner is $15 per person for faculty and $10 per person for students. Please tell Cheryl Rogers if you (and spouse or companion, if applicable) will attend. Checks should be made out to Math. Dept., TAMU. ** DINNER RESERVATIONS SHOULD BE MADE BY AUGUST 9 and PAYMENT MADE BY AUGUST 12. ** W. Johnson, johnson at math.tamu.edu D. Larson, larson at math.tamu.edu G. Pisier,pisier at math.tamu.edu J. Zinn, jzinn at math.tamu.edu
From alspach Thu Jul 13 20:55:32 2000
Return-Path: <alspach> Received: (from alspach at localhost) by localhost.localdomain (8.9.3/8.9.3) id UAA00967; Thu, 13 Jul 2000 20:55:32 -0500 Date: Thu, 13 Jul 2000 20:55:32 -0500 From: Dale Alspach <alspach at localhost.localdomain> Message-Id: <200007140155.UAA00967 at localhost.localdomain> To: alspach at localhost.localdomain, banach at math.okstate.edu Subject: Abstract of a paper by S.J. Montgomery-Smith and E.M. Semenov Status: RO
This is an announcement for the paper "Embeddings of rearrangement invariant spaces that are not strictly singular" by S.J. Montgomery-Smith and E.M. Semenov. Abstract: We give partial answers to the following conjecture: the natural embedding of a rearrangement invariant space E into L_1([0,1]) is strictly singular if and only if G does not embed into E continuously, where G is the closure of the simple functions in the Orlicz space L_Phi with Phi(x) = exp(x^2)-1. Archive classification: Functional Analysis; Probability Theory Mathematics Subject Classification: Primary 46E30, 47B38; Secondary 60G50 Remarks: Also available at http://www.math.missouri.edu/~stephen/preprints The source file(s), strict4/000readme: 42 bytes, strict4/00readme: 733 bytes, strict4/klu10.clo: 8981 bytes, strict4/klu105.clo: 9011 bytes, strict4/klu11.clo: 8983 bytes, strict4/klu12.clo: 8952 bytes, strict4/klu9.clo: 8992 bytes, strict4/kluedit.sty: 21563 bytes, strict4/klufloa.sty: 26912 bytes, strict4/klulist.sty: 8419 bytes, strict4/klumac.sty: 13796 bytes, strict4/klumath.sty: 15411 bytes, strict4/klunamed.bst: 20472 bytes, strict4/klunote.sty: 6413 bytes, strict4/klunum.bst: 20421 bytes, strict4/kluopen.sty: 20469 bytes, strict4/klups.sty: 19084 bytes, strict4/kluref.sty: 15319 bytes, strict4/klusec.sty: 19098 bytes, strict4/klut10.clo: 9150 bytes, strict4/klut11.clo: 9081 bytes, strict4/klut12.clo: 9106 bytes, strict4/klut9.clo: 9064 bytes, strict4/klutab.sty: 8162 bytes, strict4/kluwer.cls: 4668 bytes, strict4/strict4.tex: 14699 bytes, is(are) stored in gzipped form as 0007058.tar.gz with size 64kb. The corresponding postcript file has gzipped size 40kb. Submitted from: stephen at math.missouri.edu The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0007058 or http://arXiv.org/abs/math.FA/0007058 or by email in unzipped form by transmitting an empty message with subject line uget 0007058 or in gzipped form by using subject line get 0007058 to: math at arXiv.org.
Return-Path: owner-banach at mail.math.okstate.edu Delivery-Date: Thu, 27 Jul 2000 08:01:12 -0500
Return-Path: <owner-banach at mail.math.okstate.edu> Received: from mail.math.okstate.edu (IDENT:majordomo at mail.math.okstate.edu [139.78.112.5]) by ms417l.math.okstate.edu (8.9.3/8.8.7) with ESMTP id IAA32058 for <alspach at ms417l.math.okstate.edu>; Thu, 27 Jul 2000 08:01:12 -0500 Received: (from majordomo at localhost) by mail.math.okstate.edu (8.8.7/8.8.7) id IAA20481 for banach-list; Thu, 27 Jul 2000 08:54:42 -0500 X-Authentication-Warning: mail.math.okstate.edu: majordomo set sender to owner-banach at mail.math.okstate.edu using -f Received: (from mail at localhost) by mail.math.okstate.edu (8.8.7/8.8.7) id IAA20477 for <banach at mail.math.okstate.edu>; Thu, 27 Jul 2000 08:54:37 -0500 Received: from ms417l.math.okstate.edu(139.78.112.67) by mail.math.okstate.edu via smap (V2.1) id xma020474; Thu, 27 Jul 00 08:54:33 -0500 Received: from ms417l.math.okstate.edu (IDENT:alspach at localhost [127.0.0.1]) by ms417l.math.okstate.edu (8.9.3/8.8.7) with ESMTP id HAA32026 for <banach at math.okstate.edu>; Thu, 27 Jul 2000 07:56:12 -0500 Message-Id: <200007271256.HAA32026 at ms417l.math.okstate.edu> To: banach at math.okstate.edu Reply-to: Konference June Paseky <pasejune at karlin.mff.cuni.cz> Subject: Spring School on Function Spaces and Interpolation Paseky 2001 Date: Thu, 27 Jul 2000 07:56:12 -0500 From: Dale Alspach <alspach at math.okstate.edu> Sender: owner-banach at mail.math.okstate.edu Precedence: bulk
Spring School on Function Spaces and Interpolation First Announcement Dear Colleague, Following a longstanding tradition, the Faculty of Mathematics and Physics of Charles University in Prague will organize a Spring School on Function Spaces and Interpolation. The School will be held at Paseky nad Jizerou, in a chalet in the Krkonose Mountains, May 27 - June 2, 2001. The program will consist of the following series of lectures: Andrea Cianchi (University of Florence, Italy): Rearrangement estimates and applications to Sobolev and related inequalities, Michael Cwikel (Technion, Haifa, Israel): Calderon couples and K-divisibility, Mario Milman (Florida Atlantic University, Boca Raton, U.S.A.): Extrapolation: New results and Applications. More details and the registration form can be found at the URL address http://www.karlin.mff.cuni.cz/katedry/kma/ss/jun01/ss.htm The conference fee will be approximately USD 340. A discount will be offered provided that a letter guaranteeing participation reaches the organizers before February 15, 2001. The conference fee includes all local expenses (room and board) and transportation between Prague and Paseky. The fee for accompanying persons is the same. The organizers may provide financial support to a limited number of students. Applications must be sent before February 15, 2001. The village of Paseky lies in the slopes of the Krkonose Mountains in North Bohemia. Accommodation consists of rooms for two or three people. There are excellent facilities and conditions for sporting activities: hiking trips, soccer, mini-golf and sauna. A special bus from Prague to Paseky will leave at 4 p.m. on May 27, 2001. The bus from Paseky will arrive in Prague on June 2, 2001 at 11.30 a.m. Kindly inform your colleagues and students interested in this field. We look forward to meeting you in the Czech Republic. Jaroslav Lukes, Lubos Pick Mailing address: Katedra matematicke analyzy Matematicko-fyzikalni fakulta UK Sokolovska 83 186 75 Praha 8 Czech Republic Phone/Fax: +420 - 2 - 232 3390 E-mail: pasejune at karlin.mff.cuni.cz
From alspach Wed Aug 2 12:52:44 2000
Return-Path: <alspach> Received: (from alspach at localhost) by localhost.localdomain (8.9.3/8.9.3) id MAA11462; Wed, 2 Aug 2000 12:52:44 -0500 Date: Wed, 2 Aug 2000 12:52:44 -0500 From: Dale Alspach <alspach at localhost.localdomain> Message-Id: <200008021752.MAA11462 at localhost.localdomain> To: alspach at localhost.localdomain, banach at math.okstate.edu Subject: Abstract of a paper by Jesus Bastero, Fernando Galve, Ana Pena, and Miguel Romance Status: R
This is an announcement for the paper "Inequalities for the Gamma function and estimates for the volume of sections of $B_p^n$" by Jesus Bastero, Fernando Galve, Ana Pena, and Miguel Romance. Abstract: We consider $k$-dimensional central sections of the unit ball of $\ell_p^n$ (denoted $B_p^n$) and we prove that their volume are bounded by the volume of $B_p^n$ whenever $1<p<2$ and $1\le k\le (n-1)/2$ or $k=n-1$. We also consider $0<p<1$ and other cases. We obtain sharp inequalities involving Gamma Function in order to get these results. Archive classification: Functional Analysis Mathematics Subject Classification: 52A20; 33B15; 46B20 Remarks: 10 pages The source file(s), Gamma_Function.TEX: 26017 bytes, is(are) stored in gzipped form as 0008007.gz with size 9kb. The corresponding postcript file has gzipped size 52kb. Submitted from: mromance at posta.unizar.es The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0008007 or http://arXiv.org/abs/math.FA/0008007 or by email in unzipped form by transmitting an empty message with subject line uget 0008007 or in gzipped form by using subject line get 0008007 to: math at arXiv.org.
From alspach Fri Aug 4 15:55:42 2000
Return-Path: <alspach> Received: (from alspach at localhost) by localhost.localdomain (8.9.3/8.9.3) id PAA30529; Fri, 4 Aug 2000 15:55:42 -0500 Date: Fri, 4 Aug 2000 15:55:42 -0500 From: Dale Alspach <alspach at localhost.localdomain> Message-Id: <200008042055.PAA30529 at localhost.localdomain> To: alspach at localhost.localdomain, banach at math.okstate.edu Subject: Abstract of a paper by Edward G. Effros, Marius Junge and Zhong-Jin Ruan Status: R
This is an announcement for the paper "Integral mappings and the principle of local reflexivity for noncommutative L^1-spaces" by Edward G. Effros, Marius Junge and Zhong-Jin Ruan. Abstract: The operator space analogue of the {\em strong form} of the principle of local reflexivity is shown to hold for any von Neumann algebra predual, and thus for any $C^{*}$-algebraic dual. This is in striking contrast to the situation for $C^{*}$-algebras, since, for example, $K(H)$ does not have that property. The proof uses the Kaplansky density theorem together with a careful analysis of two notions of integrality for mappings of operator spaces. Archive classification: Operator Algebras; Functional Analysis Mathematics Subject Classification: 47D15; 46B07; 46B08 Citation: Ann. of Math. (2) 151 (2000), no. 1, 59--92 Remarks: 33 pages The source file(s), amltd.sty: 33978 bytes, effros.tex: 106087 bytes, is(are) stored in gzipped form as 0008032.tar.gz with size 36kb. The corresponding postcript file has gzipped size 105kb. Submitted from: ege at math.ucla.edu The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.OA/0008032 or http://arXiv.org/abs/math.OA/0008032 or by email in unzipped form by transmitting an empty message with subject line uget 0008032 or in gzipped form by using subject line get 0008032 to: math at arXiv.org.
From alspach Tue Aug 8 15:27:29 2000
Return-Path: <alspach> Received: (from alspach at localhost) by localhost.localdomain (8.9.3/8.9.3) id PAA01296; Tue, 8 Aug 2000 15:27:29 -0500 Date: Tue, 8 Aug 2000 15:27:29 -0500 From: Dale Alspach <alspach at localhost.localdomain> Message-Id: <200008082027.PAA01296 at localhost.localdomain> To: alspach at localhost.localdomain, banach at math.okstate.edu Subject: Abstract of a paper by S.V.Astashkin Status: R
This is an announcement for the paper "Selection of subsystems of random variables equivalent in distribution to the Rademacher system" by S.V.Astashkin. Abstract: We present necessary and sufficient conditions on systems of random variables for them to possess a lacunary subsystem equivalent in distribution to the Rademacher system on the segment [0,1]. In particular, every uniformly bounded orthonormal system has this property. Furthermore, an arbitrary finite uniformly bounded orthonormal set of N functions contains a subset of "logarithmic" density equivalent in distribution to the corresponding set of Rademacher functions, with a constant independent of N. A connection between the tail distribution and the L_p-norms of polynomials with respect to systems of random variables exploited. We use also these results to study K-closed representability of some Banach couples. Archive classification: Functional Analysis; Classical Analysis Mathematics Subject Classification: 42A55 (primary), 42A61,46B70 (secondary) Citation: Matemat. Sbornik, V.191, No.6 (2000), 3-30 (in Russian) Remarks: 26 pages The source file(s), Art4.tex: 63270 bytes, is(are) stored in gzipped form as 0008053.gz with size 19kb. The corresponding postcript file has gzipped size 99kb. Submitted from: astashkn at ssu.samara.ru The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0008053 or http://arXiv.org/abs/math.FA/0008053 or by email in unzipped form by transmitting an empty message with subject line uget 0008053 or in gzipped form by using subject line get 0008053 to: math at arXiv.org.
From alspach Tue Aug 15 14:06:34 2000
Return-Path: <alspach> Received: (from alspach at localhost) by localhost.localdomain (8.9.3/8.9.3) id OAA05469; Tue, 15 Aug 2000 14:06:34 -0500 Date: Tue, 15 Aug 2000 14:06:34 -0500 From: Dale Alspach <alspach at localhost.localdomain> Message-Id: <200008151906.OAA05469 at localhost.localdomain> To: alspach at localhost.localdomain, banach at math.okstate.edu Subject: Abstract of a paper by E. Munoz-Garcia Status: R
This is an announcement for the paper "Rigidity of AMN vector spaces" by E. Munoz-Garcia. Abstract: A metric vector space is asymptotically metrically normable (AMN) if there exists a norm asymptotically isometric to the distance. We prove that AMN vector spaces are rigid in the class of metric vector spaces under asymptotically isometric perturbations. This result follows from a general metric normability criterium. If the distance is translation invariant and satisfies an approximate multiplicative condition then there exists a lipschitz equivalent norm. Furthermore, we give necessary and sufficient conditions for the distance to be asymptotically isometric to the norm. Archive classification: Functional Analysis; Metric Geometry Mathematics Subject Classification: 46A16 Remarks: 15 pages The source file(s), vector7/amn2.tex: 26306 bytes, vector7/defv7.tex: 3674 bytes, is(are) stored in gzipped form as 0008095.tar.gz with size 10kb. The corresponding postcript file has gzipped size 46kb. Submitted from: munoz at math.ucla.edu The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0008095 or http://arXiv.org/abs/math.FA/0008095 or by email in unzipped form by transmitting an empty message with subject line uget 0008095 or in gzipped form by using subject line get 0008095 to: math at arXiv.org.
From alspach Wed Aug 16 15:57:20 2000
Return-Path: <alspach> Received: (from alspach at localhost) by localhost.localdomain (8.9.3/8.9.3) id PAA15820; Wed, 16 Aug 2000 15:57:20 -0500 Date: Wed, 16 Aug 2000 15:57:20 -0500 From: Dale Alspach <alspach at localhost.localdomain> Message-Id: <200008162057.PAA15820 at localhost.localdomain> To: alspach at localhost.localdomain, banach at math.okstate.edu Subject: Abstract of a paper by S. J. Dilworth and David Mitra Status: R
This is an announcement for the paper "A conditional quasi-greedy basis of $l_1$" by S. J. Dilworth and David Mitra. Abstract: We show that the Lindenstrauss basic sequence in $l_1$ may be used to construct a conditional quasi-greedy basis of $l_1$, thus answering a question of Wojtaszczyk. We further show that the sequence of coefficient functionals for this basis is not quasi-greedy. Archive classification: Functional Analysis Mathematics Subject Classification: 46B04 Remarks: LaTex, 7 pages The source file(s), quasigreedy2.tex: 15078 bytes, is(are) stored in gzipped form as 0008101.gz with size 5kb. The corresponding postcript file has gzipped size 41kb. Submitted from: mitra at math.sc.edu The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0008101 or http://arXiv.org/abs/math.FA/0008101 or by email in unzipped form by transmitting an empty message with subject line uget 0008101 or in gzipped form by using subject line get 0008101 to: math at arXiv.org.
From alspach Wed Aug 23 13:41:08 2000
Return-Path: <alspach> Received: (from alspach at localhost) by www.math.okstate.edu (8.9.3/8.9.3) id NAA21289; Wed, 23 Aug 2000 13:41:08 -0500 Date: Wed, 23 Aug 2000 13:41:08 -0500 From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200008231841.NAA21289 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at math.okstate.edu Subject: Abstract of a paper by Apoloniusz Tyszka Status: R
This is an announcement for the paper "A discrete form of the Beckman-Quarles theorem for two-dimensional strictly convex normed spaces" by Apoloniusz Tyszka. Abstract: Let X and Y be real normed vector spaces such that dim X \ge dim Y = 2 and Y is strictly convex. Let d>0 be a fixed real number. We prove that if x,y \in X and ||x-y||/d is a rational number then there exists a finite set S(x,y) \subseteq X containing x and y such that each injective map from S(x,y) to Y preserving the distance d preserves the distance between x and y. Archive classification: Functional Analysis; Metric Geometry Mathematics Subject Classification: 46B20 Remarks: LaTeX 2.09 with PiCTeX, 7 pages The source file(s), sbanach.tex: 12368 bytes, is(are) stored in gzipped form as 0008135.gz with size 4kb. The corresponding postcript file has gzipped size 70kb. Submitted from: rttyszka at cyf-kr.edu.pl The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0008135 or http://arXiv.org/abs/math.FA/0008135 or by email in unzipped form by transmitting an empty message with subject line uget 0008135 or in gzipped form by using subject line get 0008135 to: math at arXiv.org.
From alspach Wed Aug 23 13:42:59 2000
Return-Path: <alspach> Received: (from alspach at localhost) by www.math.okstate.edu (8.9.3/8.9.3) id NAA21331; Wed, 23 Aug 2000 13:42:59 -0500 Date: Wed, 23 Aug 2000 13:42:59 -0500 From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200008231842.NAA21331 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at math.okstate.edu Subject: Abstract of a paper by P.G. Casazza and M.C. Lammers Status: R
This is an announcement for the paper "Classifying characteristic functions giving Weyl-Heisenberg frames" by P.G. Casazza and M.C. Lammers. Abstract: We examine the question of which characteristic functions yield Weyl-Heisenberg frames for various values of the parameters. We also give numerous applications of frames of characteristic functions to the general case (g,a,b). Archive classification: Functional Analysis Remarks: 11 pages, uses SPIE style file The source file(s), spie.sty: 10012 bytes, spie6.tex: 34074 bytes, is(are) stored in gzipped form as 0008175.tar.gz with size 15kb. The corresponding postcript file has gzipped size 58kb. Submitted from: lammers at math.sc.edu The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0008175 or http://arXiv.org/abs/math.FA/0008175 or by email in unzipped form by transmitting an empty message with subject line uget 0008175 or in gzipped form by using subject line get 0008175 to: math at arXiv.org.
From alspach Wed Aug 23 13:44:09 2000
Return-Path: <alspach> Received: (from alspach at localhost) by www.math.okstate.edu (8.9.3/8.9.3) id NAA21373; Wed, 23 Aug 2000 13:44:09 -0500 Date: Wed, 23 Aug 2000 13:44:09 -0500 From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200008231844.NAA21373 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at math.okstate.edu Subject: Abstract of a paper by Peter G. Casazza, Ole Christensen and Mark C. Lammers Status: R
This is an announcement for the paper "Perturbations of Weyl-Heisenberg frames" by Peter G. Casazza, Ole Christensen and Mark C. Lammers. Abstract: We develop a usable perturbation theory for Weyl-Heisenberg frames. In particular, we prove that if $(E_{mb}T_{na}g)_{m,n\inmathbb Z}$ is a WH-frame and $h$ is a function which is close to $g$ in the Wiener Amalgam space norm, then $(E_{mb}T_{na}h)_{m,n\in \mathbb Z}$ is also a WH-frame. Archive classification: Functional Analysis Remarks: 12 pages The source file(s), fpert8-2.tex: 26282 bytes, is(are) stored in gzipped form as 0008174.gz with size 9kb. The corresponding postcript file has gzipped size 56kb. Submitted from: lammers at math.sc.edu The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0008174 or http://arXiv.org/abs/math.FA/0008174 or by email in unzipped form by transmitting an empty message with subject line uget 0008174 or in gzipped form by using subject line get 0008174 to: math at arXiv.org.
From alspach Fri Sep 1 22:37:20 2000
Return-Path: <alspach> Received: (from alspach at localhost) by www.math.okstate.edu (8.9.3/8.9.3) id WAA14054; Fri, 1 Sep 2000 22:37:20 -0500 Date: Fri, 1 Sep 2000 22:37:20 -0500 From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200009020337.WAA14054 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at math.okstate.edu Subject: Abstract of a paper by Peter Saveliev Status: R
This is an announcement for the paper "Lomonosov's invariant subspace theorem for multivalued linear operators" by Peter Saveliev. Abstract: The famous Lomonosov's invariant subspace theorem states that if a continuous linear operator T on an infinite-dimensional normed space E "commutes" with a compact nonzero operator K, i.e., TK=KT, then T has a non-trivial closed invariant subspace. We generalize this theorem for multivalued linear operators. Archive classification: Functional Analysis; General Topology; Operator Algebras Mathematics Subject Classification: 47A15, 47A06 (primary), 46A32, 54C60 (secondary) Remarks: 10 pages The source file(s), invariant.tex: 28469 bytes, is(are) stored in gzipped form as 0008214.gz with size 9kb. The corresponding postcript file has gzipped size 46kb. Submitted from: saveliev at math.uiuc.edu The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0008214 or http://arXiv.org/abs/math.FA/0008214 or by email in unzipped form by transmitting an empty message with subject line uget 0008214 or in gzipped form by using subject line get 0008214 to: math at arXiv.org.
From alspach Tue Sep 5 18:15:30 2000
Return-Path: <alspach> Received: (from alspach at localhost) by www.math.okstate.edu (8.9.3/8.9.3) id SAA02649; Tue, 5 Sep 2000 18:15:30 -0500 Date: Tue, 5 Sep 2000 18:15:30 -0500 From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200009052315.SAA02649 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at math.okstate.edu Subject: Abstract of a paper by Olav Nygaard Status: R
This is an announcement for the paper "Boundedness and surjectivity in Banach spaces" by Olav Nygaard. Abstract: We define the ($w^\ast$-) boundedness property and the ($w^\ast$-) surjectivity property for sets in normed spaces. We show that these properties are pairwise equivalent in complete normed spaces by characterizing them in terms of a category-like property called ($w^\ast$-) thickness. We give examples of interesting sets having or not having these properties. In particular, we prove that the tensor product of two $w^\ast$-thick sets in $\Xastast$ and $\Yast$ is a $w^\ast$-thick subset in $L(X,Y)^\ast$ and obtain as a concequense that the set $w^\ast -exp\:B_{K(l_2)^\ast}$ is $w^\ast$-thick. Archive classification: Functional Analysis Mathematics Subject Classification: 46B20 Remarks: 15 pages The source file(s), massive.TEX: 46264 bytes, is(are) stored in gzipped form as 0009034.gz with size 14kb. The corresponding postcript file has gzipped size 65kb. Submitted from: olav.nygaard at hia.no The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0009034 or http://arXiv.org/abs/math.FA/0009034 or by email in unzipped form by transmitting an empty message with subject line uget 0009034 or in gzipped form by using subject line get 0009034 to: math at arXiv.org.
From alspach Fri Sep 8 17:23:12 2000
Return-Path: <alspach> Received: (from alspach at localhost) by www.math.okstate.edu (8.9.3/8.9.3) id RAA27072; Fri, 8 Sep 2000 17:23:12 -0500 Date: Fri, 8 Sep 2000 17:23:12 -0500 From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200009082223.RAA27072 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at math.okstate.edu Subject: Abstract of a paper by Gilles Pisier Status: R
This is an announcement for the paper "Remarks on the similarity degree of an operator algebra" by Gilles Pisier. Abstract: The ``similarity" degree of a unital operator algebra $A$ was defined and studied in two recent papers of ours, where in particular we showed that it coincides with the ``length" of an operator algebra. This paper brings several complements: we give direct proofs (with slight improvements) of several known facts on the length which were only known via the degree, and we show that the length of a type $II_1$ factor with property $\Gamma$ is at most 5, improving on a previous bound ($\le 44$) due to E. Christensen. Archive classification: Functional Analysis; Operator Algebras Mathematics Subject Classification: 46 L 07 , 46 K 99 The source file(s), simdeg3: 27214 bytes, is(are) stored in gzipped form as 0009052.gz with size 10kb. The corresponding postcript file has gzipped size 45kb. 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.FA/0009052 or http://arXiv.org/abs/math.FA/0009052 or by email in unzipped form by transmitting an empty message with subject line uget 0009052 or in gzipped form by using subject line get 0009052 to: math at arXiv.org.
From alspach Fri Sep 8 17:24:48 2000
Return-Path: <alspach> Received: (from alspach at localhost) by www.math.okstate.edu (8.9.3/8.9.3) id RAA27114; Fri, 8 Sep 2000 17:24:48 -0500 Date: Fri, 8 Sep 2000 17:24:48 -0500 From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200009082224.RAA27114 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at math.okstate.edu Subject: Abstract of a paper by Eric Ricard Status: R
This is an announcement for the paper "$H^1$ n'a pas de base completement inconditionnelle" by Eric Ricard. Abstract: Let $H^1$ be the classical Hardy space of analytic functions on the unit disc. We show that this space does not admit any finite rank completely unconditional decomposition of the identity. Archive classification: Functional Analysis; Operator Algebras Mathematics Subject Classification: 46L07; 46E15 The source file(s), h.tex: 13377 bytes, is(are) stored in gzipped form as 0009073.gz with size 5kb. The corresponding postcript file has gzipped size 32kb. Submitted from: ericard at clipper.ens.fr The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0009073 or http://arXiv.org/abs/math.FA/0009073 or by email in unzipped form by transmitting an empty message with subject line uget 0009073 or in gzipped form by using subject line get 0009073 to: math at arXiv.org.
From alspach Fri Sep 8 18:41:50 2000
Return-Path: <alspach> Received: (from alspach at localhost) by www.math.okstate.edu (8.9.3/8.9.3) id SAA27809; Fri, 8 Sep 2000 18:41:50 -0500 Date: Fri, 8 Sep 2000 18:41:50 -0500 From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200009082341.SAA27809 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at math.okstate.edu Subject: Abstract of a paper by Gilles Pisier Status: R
This is an announcement for the paper "Multipliers of the Hardy space $H^1$ and power bounded operators" by Gilles Pisier. Abstract: We study the space of functions $\varphi\colon \ \NN\to \CC$ such that there is a Hilbert space $H$, a power bounded operator $T$ in $B(H)$ and vectors $\xi,\eta$ in $H$ such that $$\varphi(n) = \langle T^n\xi,\eta\rangle.$$ This implies that the matrix $(\varphi(i+j))_{i,j\ge 0}$ is a Schur multiplier of $B(\ell_2)$ or equivalently is in the space $(\ell_1 \buildrel {\vee}\over {\otimes} \ell_1)^*$. We show that the converse does not hold, which answers a question raised by Peller [Pe]. Our approach makes use of a new class of Fourier multipliers of $H^1$ which we call ``shift-bounded''. We show that there is a $\varphi$ which is a ``completely bounded'' multiplier of $H^1$, or equivalently for which $(\varphi(i+j))_{i,j\ge 0}$ is a bounded Schur multiplier of $B(\ell_2)$, but which is not ``shift-bounded'' on $H^1$. We also give a characterization of ``completely shift-bounded'' multipliers on $H^1$. Archive classification: Functional Analysis; Operator Algebras Mathematics Subject Classification: 42B15, 47D03 Remarks: Submitted to Colloquium Math The source file(s), powerbounded: 45469 bytes, is(are) stored in gzipped form as 0009074.gz with size 16kb. The corresponding postcript file has gzipped size 65kb. 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.FA/0009074 or http://arXiv.org/abs/math.FA/0009074 or by email in unzipped form by transmitting an empty message with subject line uget 0009074 or in gzipped form by using subject line get 0009074 to: math at arXiv.org.
From alspach Mon Sep 18 16:16:49 2000
Return-Path: <alspach> Received: (from alspach at localhost) by www.math.okstate.edu (8.9.3/8.9.3) id QAA17109; Mon, 18 Sep 2000 16:16:49 -0500 Date: Mon, 18 Sep 2000 16:16:49 -0500 From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200009182116.QAA17109 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at math.okstate.edu Subject: Abstract of a paper by Ioannis Gasparis Status: R
This is an announcement for the paper "On contractively complemented subspaces of separable L_1-preduals" by Ioannis Gasparis. Abstract: Let X be an L_1-predual space and let K be a countable linearly independent subset of the extreme points of its closed dual ball. It is shown that if the norm-closed linear span Y of K is w^*-closed in X^*, then Y is the range of a w^*-continuous contractive projection in X^*. This result is applied in order to provide new and simpler proofs of the results of Lazar, Lindenstrauss and Zippin on the embedding of C(K) spaces into X. Archive classification: Functional Analysis Mathematics Subject Classification: 46B25; 46B04 Remarks: 13 pages, AMS-LaTeX The source file(s), pred.tex: 45295 bytes, is(are) stored in gzipped form as 0009160.gz with size 13kb. The corresponding postcript file has gzipped size 74kb. Submitted from: ioagaspa at math.okstate.edu The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0009160 or http://arXiv.org/abs/math.FA/0009160 or by email in unzipped form by transmitting an empty message with subject line uget 0009160 or in gzipped form by using subject line get 0009160 to: math at arXiv.org.
From alspach at ms417l.math.okstate.edu Wed Sep 20 08:34:40 2000
Return-Path: owner-banach at mail.math.okstate.edu Delivery-Date: Wed, 20 Sep 2000 08:35:45 -0500
Return-Path: <owner-banach at mail.math.okstate.edu> Received: from mail.math.okstate.edu (IDENT:majordomo at mail.math.okstate.edu [139.78.112.5]) by ms417l.math.okstate.edu (8.9.3/8.8.7) with ESMTP id IAA26524 for <alspach at ms417l.math.okstate.edu>; Wed, 20 Sep 2000 08:35:45 -0500 Received: (from majordomo at localhost) by mail.math.okstate.edu (8.8.7/8.8.7) id IAA04252 for banach-list; Wed, 20 Sep 2000 08:29:59 -0500 X-Authentication-Warning: mail.math.okstate.edu: majordomo set sender to owner-banach at mail.math.okstate.edu using -f Received: (from mail at localhost) by mail.math.okstate.edu (8.8.7/8.8.7) id IAA04242 for <banach at mail.math.okstate.edu>; Wed, 20 Sep 2000 08:29:44 -0500 Received: from ms417l.math.okstate.edu(139.78.112.67) by mail.math.okstate.edu via smap (V2.1) id xma004234; Wed, 20 Sep 00 08:29:22 -0500 Received: from ms417l.math.okstate.edu (IDENT:alspach at localhost [127.0.0.1]) by ms417l.math.okstate.edu (8.9.3/8.8.7) with ESMTP id IAA26346 for <banach at math.okstate.edu>; Wed, 20 Sep 2000 08:32:37 -0500 Message-Id: <200009201332.IAA26346 at ms417l.math.okstate.edu> X-Mailer: exmh version 2.0.3 Reply-to: Anthony William Wickstead <A.Wickstead at qub.ac.uk> To: banach at math.okstate.edu Subject: Lectureship at Queens University Belfast MIME-Version: 1.0 Content-Type: TEXT/PLAIN; CHARSET=iso-8859-1 Date: Wed, 20 Sep 2000 08:32:37 -0500 From: Dale Alspach <alspach at math.okstate.edu> X-MIME-Autoconverted: from 8bit to quoted-printable by ms417l.math.okstate.edu id IAA26346 Content-Transfer-Encoding: 8bit X-MIME-Autoconverted: from quoted-printable to 8bit by mail.math.okstate.edu id IAB04242 Sender: owner-banach at mail.math.okstate.edu Precedence: bulk
Queens University Belfast School of Mathematics and Physics Lectureship in Pure Mathematics (Ref: 00/P227C) Available as soon as possible to contribute to the research activity of the Department and consolidate and improve its research rating, which in the 1996 Research Assessment Exercise was increased to 3a, and which is targeted to raise further in the 2001 Assessment. The successful candidate will undertake and publish original research in Pure Mathematics, be willing to supervise research students, contribute to the development and delivery of the undergraduate teaching programme in Pure Mathematics and undertake administrative tasks as required. Applicants must hold at least an upper second class honour degree or equivalent in Mathematics with a predominantly Pure Mathematics content and a PhD or equivalent in Pure Mathematics. They must possess a record of high quality research publication in Pure Mathematics commensurate with experience and have research interests in Analysis or General Topology or a related area. Evidence of ability to teach Pure Mathematics at all levels through the medium of English is also required. Evidence of ability as an independent researcher and lecturing experience in the Higher Education sector are desirable. Informal enquiries may be directed to Professor DH Armitage, email: d.armitage at qub.ac.uk or telephone +44 28 90273671. Salary Scale: Lecturer A £18,723 - £23,256 Lecturer B £24,228 - £30,969 per annum. Appointment will be made on either the Lecturer A or Lecturer B scale, depending on age and experience. Closing date: 5.00 pm, Friday 20 October 2000. Applicants, quoting reference number, may obtain further particulars from the Personnel Office, The Queen's University of Belfast, BT7 1NN. Telephone +44 28 90273044 or +44 28 90273854 (answering machine). FAX: 028 90324944 or e-mail on personnel at qub.ac.uk The University is committed to equal opportunities and to selection on merit. It therefore welcomes applications from all sections of society.
From alspach Fri Sep 22 08:24:32 2000
Return-Path: <alspach> Received: (from alspach at localhost) by www.math.okstate.edu (8.9.3/8.9.3) id IAA30914; Fri, 22 Sep 2000 08:24:32 -0500 Date: Fri, 22 Sep 2000 08:24:32 -0500 From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200009221324.IAA30914 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at math.okstate.edu Subject: Abstract of a paper by P. G. Casazza, C. L. Garcia, W. B. Johnson Status: R
This is an announcement for the paper "An example of an asymptotically Hilbertian space which fails the approximation property" by P. G. Casazza, C. L. Garcia, W. B. Johnson. Abstract: Following Davie's example of a Banach space failing the approximation property [D], we show how to construct a Banach space E which is asymptotically Hilbertian and fails the approximation property. Moreover, the space E is shown to be a subspace of a space with an unconditional basis which is ``almost'' a weak Hilbert space and which can be written as the direct sum of two subspaces all of whose subspaces have the approximation property. Archive classification: Functional Analysis Mathematics Subject Classification: 46B20; 46B07 Remarks: 7 pages The source file(s), casgarjohn.ltx: 21780 bytes, is(are) stored in gzipped form as 0006134.gz with size 8kb. The corresponding postcript file has gzipped size 41kb. Submitted from: cesar.garcia at math.tamu.edu The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0006134 or http://arXiv.org/abs/math.FA/0006134 or by email in unzipped form by transmitting an empty message with subject line uget 0006134 or in gzipped form by using subject line get 0006134 to: math at arXiv.org.
From alspach Tue Oct 3 08:24:52 2000
Return-Path: <alspach> Received: (from alspach at localhost) by www.math.okstate.edu (8.9.3/8.9.3) id IAA15118; Tue, 3 Oct 2000 08:24:52 -0500 Date: Tue, 3 Oct 2000 08:24:52 -0500 From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200010031324.IAA15118 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at math.okstate.edu Subject: Abstract of a paper by Dale Alspach, Robert Judd, and Edward Odell Status: R
This is an announcement for the paper "The Szlenk index and local l_1-indices" by Dale Alspach, Robert Judd, and Edward Odell. Abstract: We introduce two new local l_1-indices of the same type as the Bourgain l_1 index; the l_1^+-index and the l_1^+-weakly null index. We show that the l_1^+-weakly null index of a Banach space X is the same as the Szlenk index of X, provided X does not contain l_1. The l_1^+-weakly null index has the same form as the Bourgain l_1 index: if it is countable it must take values omega^alpha for some alpha<omega_1. The different l_1-indices are closely related and so knowing the Szlenk index of a Banach space helps us calculate its local l_1-index, via the l_1^+-weakly null index. We show that I(C(omega^{omega^alpha}))=omega^{1+alpha+1}. Archive classification: Functional Analysis Mathematics Subject Classification: 46B Remarks: LaTeX2e, 41 pages, to appear in Positivity The source file(s), ajof.tex: 138073 bytes, is(are) stored in gzipped form as 0009250.gz with size 40kb. The corresponding postcript file has gzipped size 160kb. Submitted from: alspach at math.okstate.edu The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0009250 or http://arXiv.org/abs/math.FA/0009250 or by email in unzipped form by transmitting an empty message with subject line uget 0009250 or in gzipped form by using subject line get 0009250 to: math at arXiv.org.
From alspach Thu Oct 12 12:49:22 2000
Return-Path: <alspach> Received: (from alspach at localhost) by www.math.okstate.edu (8.9.3/8.9.3) id MAA04872; Thu, 12 Oct 2000 12:49:22 -0500 Date: Thu, 12 Oct 2000 12:49:22 -0500 From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200010121749.MAA04872 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at math.okstate.edu Subject: Abstract of a paper by Loukas Grafakos and Nigel Kalton Status: R
This is an announcement for the paper "The Marcinkiewicz multiplier condition for bilinear operators" by Loukas Grafakos and Nigel Kalton. Abstract: This article is concerned with the question of whether Marcinkiewicz multipliers on $\mathbb R^{2n}$ give rise to bilinear multipliers on $\mathbb R^n\times \mathbb R^n$. We show that this is not always the case. Moreover we find necessary and sufficient conditions for such bilinear multipliers to be bounded. These conditions in particular imply that a slight logarithmic modification of the Marcinkiewicz condition gives multipliers for which the corresponding bilinear operators are bounded on products of Lebesgue and Hardy spaces. Archive classification: Functional Analysis Mathematics Subject Classification: 42B20 Remarks: 42 pages The source file(s), loglog2.tex: 115693 bytes, is(are) stored in gzipped form as 0010076.gz with size 33kb. The corresponding postcript file has gzipped size 155kb. Submitted from: nigel at math.missouri.edu The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0010076 or http://arXiv.org/abs/math.FA/0010076 or by email in unzipped form by transmitting an empty message with subject line uget 0010076 or in gzipped form by using subject line get 0010076 to: math at arXiv.org.
From alspach Fri Oct 13 17:16:00 2000
Return-Path: <alspach> Received: (from alspach at localhost) by www.math.okstate.edu (8.9.3/8.9.3) id RAA19656; Fri, 13 Oct 2000 17:16:00 -0500 Date: Fri, 13 Oct 2000 17:16:00 -0500 From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200010132216.RAA19656 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at math.okstate.edu Subject: Abstract of a paper by David Mitra Status: R
This is an announcement for the paper "Two characterizations of the standard unit vector basis of $l_1$" by David Mitra. Abstract: We show that for a sequence in a Banach space, the property of being stable under large perturbations characterizes the property of being equivalent to the unit vector basis of $l_1$. We show that a normalized unconditional basic sequence in $l_1$ that is semi-normalized in $l_\infty$ is equivalent to the standard unit vector basis of~$l_1$. Archive classification: Functional Analysis Mathematics Subject Classification: 46B45 (Primary), 46B15 (Secondary) Remarks: Latex. 8 pgs The source file(s), l1uvb.tex: 20499 bytes, is(are) stored in gzipped form as 0010128.gz with size 6kb. The corresponding postcript file has gzipped size 43kb. Submitted from: mitra at math.sc.edu The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0010128 or http://arXiv.org/abs/math.FA/0010128 or by email in unzipped form by transmitting an empty message with subject line uget 0010128 or in gzipped form by using subject line get 0010128 to: math at arXiv.org.
Return-Path: owner-banach at mail.math.okstate.edu Delivery-Date: Mon, 16 Oct 2000 08:54:38 -0500
Return-Path: <owner-banach at mail.math.okstate.edu> Received: from mail.math.okstate.edu (IDENT:majordomo at mail.math.okstate.edu [139.78.112.5]) by ms417l.math.okstate.edu (8.9.3/8.8.7) with ESMTP id IAA27249 for <alspach at ms417l.math.okstate.edu>; Mon, 16 Oct 2000 08:54:37 -0500 Received: (from majordomo at localhost) by mail.math.okstate.edu (8.8.7/8.8.7) id IAA09701 for banach-list; Mon, 16 Oct 2000 08:47:16 -0500 X-Authentication-Warning: mail.math.okstate.edu: majordomo set sender to owner-banach at mail.math.okstate.edu using -f Received: (from mail at localhost) by mail.math.okstate.edu (8.8.7/8.8.7) id IAA09697 for <banach at mail.math.okstate.edu>; Mon, 16 Oct 2000 08:47:12 -0500 Received: from ms417l.math.okstate.edu(139.78.112.67) by mail.math.okstate.edu via smap (V2.1) id xma009695; Mon, 16 Oct 00 08:47:11 -0500 Received: from ms417l.math.okstate.edu (IDENT:alspach at localhost [127.0.0.1]) by ms417l.math.okstate.edu (8.9.3/8.8.7) with ESMTP id IAA27220 for <banach at math.okstate.edu>; Mon, 16 Oct 2000 08:51:25 -0500 Message-Id: <200010161351.IAA27220 at ms417l.math.okstate.edu> X-Mailer: exmh version 2.0.3 To: banach at math.okstate.edu Subject: Position at Leeds Reply-To: J.R.Partington at leeds.ac.uk MIME-Version: 1.0 Content-Type: text/plain; charset=us-ascii Content-Transfer-Encoding: 7bit Date: Mon, 16 Oct 2000 08:51:25 -0500 From: Dale Alspach <alspach at math.okstate.edu> Sender: owner-banach at mail.math.okstate.edu Precedence: bulk
A Postdoc position is available at the University of Leeds (UK) from Sep 2001 to Aug 2002 within the European network "Classical Analysis, Operator Theory, Geometry of Banach spaces, their interplay and their applications". Details can be found at http://amsta.leeds.ac.uk/pure/analysis/leedsjob.html - - ------------------------------------------------------------------------ Jonathan R. Partington, Tel: +44 (0) 113 233 5123. School of Mathematics, Fax: +44 (0) 113 233 5145. University of Leeds, Email: J.R.Partington at leeds.ac.uk Leeds LS2 9JT, U.K. WWW: http://www.amsta.leeds.ac.uk/~pmt6jrp ________________________________________________________________________
From alspach Tue Oct 17 16:44:58 2000
Return-Path: <alspach> Received: (from alspach at localhost) by www.math.okstate.edu (8.9.3/8.9.3) id QAA04749; Tue, 17 Oct 2000 16:44:58 -0500 Date: Tue, 17 Oct 2000 16:44:58 -0500 From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200010172144.QAA04749 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at math.okstate.edu Subject: Abstract of a paper by N.J. Kalton and L. Weis Status: R
This is an announcement for the paper "The $H^{\infty}-$calculus and sums of closed operators" by N.J. Kalton and L. Weis. Abstract: We develop a very general operator-valued functional calculus for operators with an $H^{\infty}-$calculus. We then apply this to the joint functional calculus of two commuting sectorial operators when one has an $H^{\infty}$calculus. Using this we prove theorem of Dore-Venni type on sums of commuting sectorial operators and apply our results to the problem of $L_p-$maximal regularity. Our main assumption is the R-boundedness of certain sets of operators, and therefore methods from the geometry of Banach spaces are essential here. In the final section we exploit the special Banach space structure of $L_1-$spaces and $C(K)-$spaces, to obtain some more detailed results in this setting. Archive classification: Functional Analysis Mathematics Subject Classification: 47A60; 47D06 Remarks: 26 pages The source file(s), weis28.tex: 77685 bytes, is(are) stored in gzipped form as 0010155.gz with size 24kb. The corresponding postcript file has gzipped size 100kb. Submitted from: nigel at math.missouri.edu The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0010155 or http://arXiv.org/abs/math.FA/0010155 or by email in unzipped form by transmitting an empty message with subject line uget 0010155 or in gzipped form by using subject line get 0010155 to: math at arXiv.org.
From alspach Tue Oct 17 16:46:08 2000
Return-Path: <alspach> Received: (from alspach at localhost) by www.math.okstate.edu (8.9.3/8.9.3) id QAA04799; Tue, 17 Oct 2000 16:46:08 -0500 Date: Tue, 17 Oct 2000 16:46:08 -0500 From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200010172146.QAA04799 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at math.okstate.edu Subject: Abstract of a paper by N.J. Kalton and G. Lancien Status: R
This is an announcement for the paper "$L^p-$maximal regularity on Banach spaces with a Schauder basis" by N.J. Kalton and G. Lancien. Abstract: We investigate the problem of $L^p$-maximal regularity on Banach spaces having a Schauder basis. Our results improve those of a recent paper. Archive classification: Functional Analysis Mathematics Subject Classification: 47D06 Remarks: 14 pages The source file(s), MR3.tex: 32731 bytes, is(are) stored in gzipped form as 0010156.gz with size 11kb. The corresponding postcript file has gzipped size 66kb. Submitted from: nigel at math.missouri.edu The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0010156 or http://arXiv.org/abs/math.FA/0010156 or by email in unzipped form by transmitting an empty message with subject line uget 0010156 or in gzipped form by using subject line get 0010156 to: math at arXiv.org.
From alspach at ms417l.math.okstate.edu Sun Oct 22 12:37:01 2000
Return-Path: owner-banach at mail.math.okstate.edu Delivery-Date: Sun, 22 Oct 2000 12:37:10 -0500
Return-Path: <owner-banach at mail.math.okstate.edu> Received: from mail.math.okstate.edu (IDENT:majordomo at mail.math.okstate.edu [139.78.112.5]) by ms417l.math.okstate.edu (8.9.3/8.8.7) with ESMTP id MAA01368 for <alspach at ms417l.math.okstate.edu>; Sun, 22 Oct 2000 12:37:10 -0500 Received: (from majordomo at localhost) by mail.math.okstate.edu (8.8.7/8.8.7) id MAA14992 for banach-list; Sun, 22 Oct 2000 12:28:30 -0500 X-Authentication-Warning: mail.math.okstate.edu: majordomo set sender to owner-banach at mail.math.okstate.edu using -f Received: (from mail at localhost) by mail.math.okstate.edu (8.8.7/8.8.7) id MAA14988 for <banach at mail.math.okstate.edu>; Sun, 22 Oct 2000 12:28:27 -0500 Received: from ms417l.math.okstate.edu(139.78.112.67) by mail.math.okstate.edu via smap (V2.1) id xma014984; Sun, 22 Oct 00 12:28:22 -0500 Received: from ms417l.math.okstate.edu (IDENT:alspach at localhost [127.0.0.1]) by ms417l.math.okstate.edu (8.9.3/8.8.7) with ESMTP id MAA01189 for <banach at math.okstate.edu>; Sun, 22 Oct 2000 12:32:49 -0500 Message-Id: <200010221732.MAA01189 at ms417l.math.okstate.edu> To: banach at math.okstate.edu Reply-to: Nicole Tomczak-Jaegermann <nicole at ellpspace.math.ualberta.ca> Subject: tenure track position in Edmonton MIME-Version: 1.0 Content-Type: text/plain; charset=us-ascii Date: Sun, 22 Oct 2000 12:32:49 -0500 From: Dale Alspach <alspach at math.okstate.edu> Sender: owner-banach at mail.math.okstate.edu Precedence: bulk
A tenure-track position at Assistant Professor level in Geometric Functional Analysis is available at the University of Alberta in Edmonton. Applications are welcome. For details please check: http://www.math.ualberta.ca/Positions/GFA.html
From alspach Fri Oct 27 12:09:08 2000
Return-Path: <alspach> Received: (from alspach at localhost) by www.math.okstate.edu (8.9.3/8.9.3) id MAA30209; Fri, 27 Oct 2000 12:09:08 -0500 Date: Fri, 27 Oct 2000 12:09:08 -0500 From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200010271709.MAA30209 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at math.okstate.edu Subject: Abstract of a paper by Alvaro Arias Status: R
This is an announcement for the paper "An operator Hilbert space without the operator approximation property" by Alvaro Arias. Abstract: We use a technique of Szankowski to construct an operator Hilbert space that does not have the operator approximation property Archive classification: Functional Analysis Mathematics Subject Classification: 46B20; 47D15 Remarks: 7 pages The source file(s), oap.tex: 19120 bytes, is(are) stored in gzipped form as 0010238.gz with size 7kb. The corresponding postcript file has gzipped size 48kb. Submitted from: arias at sphere.math.utsa.edu The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0010238 or http://arXiv.org/abs/math.FA/0010238 or by email in unzipped form by transmitting an empty message with subject line uget 0010238 or in gzipped form by using subject line get 0010238 to: math at arXiv.org.
Return-Path: owner-banach at mail.math.okstate.edu Delivery-Date: Mon, 30 Oct 2000 08:51:54 -0600
Return-Path: <owner-banach at mail.math.okstate.edu> Received: from mail.math.okstate.edu (IDENT:majordomo at mail.math.okstate.edu [139.78.112.5]) by ms417l.math.okstate.edu (8.9.3/8.8.7) with ESMTP id IAA23697 for <alspach at ms417l.math.okstate.edu>; Mon, 30 Oct 2000 08:51:54 -0600 Received: (from majordomo at localhost) by mail.math.okstate.edu (8.8.7/8.8.7) id IAA31542 for banach-list; Mon, 30 Oct 2000 08:47:02 -0600 X-Authentication-Warning: mail.math.okstate.edu: majordomo set sender to owner-banach at mail.math.okstate.edu using -f Received: (from mail at localhost) by mail.math.okstate.edu (8.8.7/8.8.7) id IAA31538 for <banach at mail.math.okstate.edu>; Mon, 30 Oct 2000 08:47:00 -0600 Received: from ms417l.math.okstate.edu(139.78.112.67) by mail.math.okstate.edu via smap (V2.1) id xma031536; Mon, 30 Oct 00 08:46:43 -0600 Received: from ms417l.math.okstate.edu (IDENT:alspach at localhost [127.0.0.1]) by ms417l.math.okstate.edu (8.9.3/8.8.7) with ESMTP id IAA23689 for <banach at math.okstate.edu>; Mon, 30 Oct 2000 08:51:28 -0600 Message-Id: <200010301451.IAA23689 at ms417l.math.okstate.edu> X-Mailer: exmh version 2.0.3 To: banach at math.okstate.edu Reply-to: "FELIX CABELLO" <fcabello at unex.es> Subject: IV Conference in Banach Spaces Mime-Version: 1.0 Content-Type: text/plain; charset=iso-8859-1 Date: Mon, 30 Oct 2000 08:51:28 -0600 From: Dale Alspach <alspach at math.okstate.edu> Content-Transfer-Encoding: 8bit X-MIME-Autoconverted: from quoted-printable to 8bit by mail.math.okstate.edu id IAB31538 Sender: owner-banach at mail.math.okstate.edu Precedence: bulk
IV Conference in Banach Spaces Dear colleague, the Department of Mathematics of the University of Extremadura organizes the IV Conference on Banach Spaces during the week 18-22 December 2000. The meeting shall take place in the Centro de Estudios of the University in Jarandilla de la Vera, Cáceres, Spain. The Conference is organized in three sections or seminars, each focused (more or less freely) on a topic. This time they are: 1. Tensor products of Banach spaces. So far it has been confirmed the participation of F. Blasco, R. García, P. Galindo, J. Jaramillo and J.L. Llavona. 2. Topological methods in function spaces. So far it has been confirmed the participation of V. Fonf, I. Garrido, M. Jiménez, A. Plichko and B. Radrianantoanina. 3. Algebraic methods in Banach spaces (and related structures). So far it has been confirmed the participation of F. Cabello, JMF Castillo, A.Y. Helemskii, N. Kalton, P. Papini and D. Yost. As in the previous meetings, we hope to provide a friendly and stimulating working atmosphere. The ambience during the talks is relaxed and open to participation; actually, some shorter conferences could be included in the seminars. In addition to this, there have been organized some sections for communications. Those interested in delivering a shorter talk or communication are invited to submit an abstract with the contents; if it is intended to be included in a seminar, please indicate in which one you think it fits better. Unfortunately there is only a limited number of rooms in the Centro de Estudios (4.000 pts/day, including meals). So, those interested in participating are invited to contact with the organizators (see below) as soon as possible so that we can make the reservation. There shall be a conference fee of 15.000 pts (100 $) for doctors and 4.000 pts (25 $) for non-doctors. The proceedings of the Conference shall be published in Extracta Mathematicae. Organization: Félix Cabello Sanchez (fcabello at unex.es) Jesús M.F. Castillo (castillo at unex.es) +34 924 289563 Ricardo García (rgarcia at unex.es) +34 927 257223 Departamento de Matemáticas, Universidad de Extremadura Avda. de Elvas s/n, 06071 Badajoz Spain. Up-dated information shall be placed at the web page of the Uex: www.unex.es
From alspach Fri Nov 3 09:37:31 2000
Return-Path: <alspach> Received: (from alspach at localhost) by www.math.okstate.edu (8.9.3/8.9.3) id JAA02443; Fri, 3 Nov 2000 09:37:31 -0600 Date: Fri, 3 Nov 2000 09:37:31 -0600 From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200011031537.JAA02443 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at math.okstate.edu Subject: Abstract of a paper by Jesus Araujo Status: R
This is an announcement for the paper "Realcompactness and Banach-Stone theorems" by Jesus Araujo. Abstract: For realcompact spaces X and Y we give a complete description of the linear biseparating maps between spaces of vector-valued continuous functions on X and Y, where special attention is paid to spaces of vector-valued bounded continuous functions. These results are applied to describe the linear isometries between spaces of vector-valued bounded continuous and uniformly continuous functions. Archive classification: Functional Analysis; General Topology Mathematics Subject Classification: 46E40 (Primary) 47B33, 47B38, 54D60 (Secondary) Remarks: 16 pages, LaTeX, no figures The source file(s), isomarch.TEX: 37338 bytes, is(are) stored in gzipped form as 0010292.gz with size 11kb. The corresponding postcript file has gzipped size 60kb. Submitted from: araujoj at unican.es The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0010292 or http://arXiv.org/abs/math.FA/0010292 or by email in unzipped form by transmitting an empty message with subject line uget 0010292 or in gzipped form by using subject line get 0010292 to: math at arXiv.org.
Return-Path: owner-banach at mail.math.okstate.edu Delivery-Date: Thu, 16 Nov 2000 17:02:58 -0600
Return-Path: <owner-banach at mail.math.okstate.edu> Received: from mail.math.okstate.edu (IDENT:majordomo at mail.math.okstate.edu [139.78.112.5]) by ms417l.math.okstate.edu (8.9.3/8.8.7) with ESMTP id RAA21933 for <alspach at ms417l.math.okstate.edu>; Thu, 16 Nov 2000 17:02:57 -0600 Received: (from majordomo at localhost) by mail.math.okstate.edu (8.8.7/8.8.7) id QAA16222 for banach-list; Thu, 16 Nov 2000 16:50:08 -0600 X-Authentication-Warning: mail.math.okstate.edu: majordomo set sender to owner-banach at mail.math.okstate.edu using -f Received: (from mail at localhost) by mail.math.okstate.edu (8.8.7/8.8.7) id QAA16215 for <banach at mail.math.okstate.edu>; Thu, 16 Nov 2000 16:50:05 -0600 Received: from ms417l.math.okstate.edu(139.78.112.67) by mail.math.okstate.edu via smap (V2.1) id xma016211; Thu, 16 Nov 00 16:49:54 -0600 Received: from ms417l.math.okstate.edu (IDENT:alspach at localhost [127.0.0.1]) by ms417l.math.okstate.edu (8.9.3/8.8.7) with ESMTP id QAA21909 for <banach at math.okstate.edu>; Thu, 16 Nov 2000 16:55:19 -0600 Message-Id: <200011162255.QAA21909 at ms417l.math.okstate.edu> X-Mailer: exmh version 2.0.3 To: banach at math.okstate.edu Reply-to: Konference na Pasekach <paseky at karlin.mff.cuni.cz> Subject: Spring School on FA - Paseky 2001 Mime-Version: 1.0 Content-Type: text/plain; charset=us-ascii Date: Thu, 16 Nov 2000 16:55:19 -0600 From: Dale Alspach <alspach at math.okstate.edu> Sender: owner-banach at mail.math.okstate.edu Precedence: bulk
Spring School on Analysis First Announcement Dear Colleague, Following a longstanding tradition, the Faculty of Mathematics and Physics of Charles University in Prague will organize a Spring School on Banach Spaces. The School will be held at Paseky nad Jizerou, in a chalet in the Krkonose Mountains, April 15 - 21, 2001. The program will consist of the series of lectures provided by the following speakers: Joram Lindenstrauss, Institute of Mathematics, The Hebrew University of Jerusalem, Jerusalem, Israel e-mail: joram at math.huji.ac.il Gideon Schechtman, Department of Theoretical Mathematics, The Weizmann Institute of Science, Rehovot, Israel e-mail: gideon at wisdom.weizmann.ac.il Yoav Benyamini, Department of Mathematics, The Technion, Israel Institute of Technology, Haifa, Israel e-mail: yoavb at tx.technion.ac.il Gilles Lancien, Equipe de Mathematiques, Universite de Franche-Comte, Besancon Cedex, France e-mail: gilles.lancien at math.univ-fcomte.fr W. B. Johnson (not yet confirmed), Department of Mathematics, Texas A&M University, United States e-mail: johnson at math.tamu.edu The titles of lectures will be announced on the www pages soon. More details and the registration form can be found at the URL address http://www.karlin.mff.cuni.cz/katedry/kma/ss/apr01/ss.htm The conference fee will be USD 340. A reduced rate of USD 290 will be offered provided that a letter guaranteeing participation reaches the organizers before January 15, 2001. The conference fee includes all local expenses (room and board) and transportation between Prague and Paseky. The fee for accompanying persons is the same. Payment of the fee should be made in cash at the registration desk in Paseky, or it may be remitted by a bank transfer to Komercni banka, Praha 1, Vaclavske nam. 42 account No. 38330-021/0100, v.s. 30300-0029 (a copy of the transfer slip should be presented at the registration desk at Paseky). Unfortunately, neither cheques nor credit cards can be used and will not be accepted. The organizers may provide financial support to a limited number of students. Applications must be sent before January 15, 2001. The village of Paseky lies in the slopes of the Krkonose Mountains in North Bohemia. Accommodation consists of rooms for two or three people. A single room can be arranged on demand if the capacity of the chalet allows. In such case additional USD 100 will be charged. The vicinity of the chalet is suitable for wonderful hiking trips. Moreover, there are excellent facilities for various sporting activities: soccer, mini-golf, fitness center, snooker, darts and sauna. A special bus from Prague to Paseky will leave at 4 p.m. on April 15, 2001. The bus from Paseky will arrive in Prague on April 21, 2001 at 11.30 a.m. The last announcement containing more details will be distributed in due time. Kindly inform your colleagues and students interested in this field. We look forward to meeting you in the Czech Republic. Jaroslav Lukes, Jan Rychtar Mailing address: Katedra matematicke analyzy Matematicko-fyzikalni fakulta UK Sokolovska 83 186 75 Praha 8 Czech Republic Phone/Fax: +420 - 2 - 232 3390 E-mail: paseky at karlin.mff.cuni.cz
From alspach Wed Nov 29 13:35:38 2000
Return-Path: <alspach> Received: (from alspach at localhost) by www.math.okstate.edu (8.9.3/8.9.3) id NAA04772; Wed, 29 Nov 2000 13:35:38 -0600 Date: Wed, 29 Nov 2000 13:35:38 -0600 From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200011291935.NAA04772 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at math.okstate.edu Subject: Abstract of a paper by R. Vershynin Status: R
This is an announcement for the paper "Coordinate restrictions of linear operators in $l_2^n$" by R. Vershynin. Abstract: This paper addresses the problem of improving properties of a linear operator $u$ in $l_2^n$ by restricting it onto coordinate subspaces. We discuss how to reduce the norm of $u$ by a random coordinate restriction, how to approximate $u$ by a random operator with small "coordinate" rank, how to find coordinate subspaces where $u$ is an isomorphism. The first problem in this list provides a probabilistic extension of a suppression theorem of Kashin and Tzafriri, the second one is a new look at a result of Rudelson on the random vectors in the isotropic position, the last one is the recent generalization of the Bourgain-Tzafriri's invertibility principle. The main point is that all the results are independent of $n$, the situation is instead controlled by the Hilbert-Schmidt norm of $u$. As an application, we provide an almost optimal solution to the problem of harmonic density in harmonic analysis, and a solution to the reconstruction problem for communication networks which deliver data with random losses. Archive classification: Functional Analysis; Analysis of PDEs; Probability Theory Mathematics Subject Classification: 46B09 (60G50, 43A46, 43A46) The source file(s), restrict.tex: 62543 bytes, is(are) stored in gzipped form as 0011232.gz with size 19kb. The corresponding postcript file has gzipped size 87kb. Submitted from: vershyn at wisdom.weizmann.ac.il The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0011232 or http://arXiv.org/abs/math.FA/0011232 or by email in unzipped form by transmitting an empty message with subject line uget 0011232 or in gzipped form by using subject line get 0011232 to: math at arXiv.org.
From alspach Wed Nov 29 13:38:21 2000
Return-Path: <alspach> Received: (from alspach at localhost) by www.math.okstate.edu (8.9.3/8.9.3) id NAA04814; Wed, 29 Nov 2000 13:38:21 -0600 Date: Wed, 29 Nov 2000 13:38:21 -0600 From: Dale Alspach <alspach at www.math.okstate.edu> Message-Id: <200011291938.NAA04814 at www.math.okstate.edu> To: alspach at www.math.okstate.edu, banach at math.okstate.edu Subject: Abstract of a paper by S. J. Dilworth, Ralph Howard and James W. Roberts Status: R
This is an announcement for the paper "Extremal approximately convex functions and the best constants in a theorem of Hyers and Ulam" by S. J. Dilworth, Ralph Howard and James W. Roberts. Abstract: Let $n\ge1$ and $B\ge2$. A real-valued function $f$ defined on the $n$-simplex $\Delta_n$ is approximately convex with respect to $\Delta_{B-1}$ iff f(\sum_{i=1}^B t_ix_i ) \le \sum_{i=1}^B t_if(x_i) +1 for all $x_1,\dots,x_B \in \Delta_n$ and all $(t_1,\dots,t_B)\in \Delta_{B-1}$. We determine explicitly the extremal (i.e. pointwise largest) function of this type which vanishes on the vertices of $\Delta_n$. We also prove a stability theorem of Hyers-Ulam type which yields as a special case the best constants in the Hyers-Ulam stability theorem for $\epsilon$-convex functions. Archive classification: Functional Analysis; Metric Geometry Mathematics Subject Classification: 26B25; 41A44 Remarks: 12 pages 1 figure The source file(s), EsimpGraph.ps: 502880 bytes (looks big), %%Creator: XV Version 3.10a Rev: 12/29/94 - by John Bradley, ulam-hyers.tex: 29308 bytes, is(are) stored in gzipped form as 0011239.tar.gz with size 23kb. The corresponding postcript file has gzipped size 73kb. Submitted from: howard at math.sc.edu The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0011239 or http://arXiv.org/abs/math.FA/0011239 or by email in unzipped form by transmitting an empty message with subject line uget 0011239 or in gzipped form by using subject line get 0011239 to: math at arXiv.org.