Geometry of Banach Spaces: Proceedings of the Conference Held in Strobl, Austria 1989

doi:10.1017/CBO9780511662317

This volume reflects the progress made in many branches of recent research in Banach space theory. It is based on a conference attended by most of the leading figures in the area, and is intended to illustrate the interplay of Banach space theory with harmonic analysis, probability, complex function theory and finite dimensional convexity theory. The papers consist of a selection of surveys and original research papers. Research workers in functional and complex analysis will find much here to interest them.

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Contents

Frontmatter
pp i-iv
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Contents
pp v-vi
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Foreword
pp vii-viii
- By Paul Müller, Walter Schachermayer
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List of Main Lectures
pp ix-x
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List of Participants
pp xi-xiv
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A note on H. Ishihara and W. Takahashi modulus of convexity
pp 1-4
- By Javier Alonso, Departamento de Matemáticas, Universidad de Extremadura, 06071–BADAJOZ (SPAIN), Antonio Ullán, Departamento de Matemáticas, Universidad de Extremadura, 06071–BADAJOZ (SPAIN)
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A property of non-strongly regular operators
pp 5-24
- By S. Argyros, M. Petrakis
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The entropy of convex bodies with ‘few’ extreme points
pp 25-32
- By Keith Ball, Department of Mathematics, Texas A&M University, College Station, TX 77843, Alain Pajor, U.E.R. de Mathématiques, Université de Paris VII, 2 Place Jussieu, 75251 PARIS CEDEX 05
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Spaces of vector valued analytic functions and applications
pp 33-48
- By Oscar Blasco
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Notes on approximation properties in separable Banach spaces
pp 49-64
- By P.G. Casazza, N.J. Kalton
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Moduli of complex convexity
pp 65-70
- By William J. Davis, Department of Mathematics, The Ohio State University, Columbus, OH 43210, USA
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Grothendieck type inequalities and weak Hilbert spaces
pp 71-88
- By Martin Defant, Marius Junge
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A weak topology characterization of l1 (m)
pp 89-94
- By S.J. Dilworth
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Singular integral operators: a martingale approach
pp 95-110
- By Taduesz Figiel
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Remarks about the interpolation of Radon-Nikodym operators
pp 111-120
- By N. Ghoussoub, B. Maurey, W. Schachermayer
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Symmetric sequences in finite-dimensional normed spaces
pp 121-132
- By W.T. Gowers
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Some topologies on the space of analytic self-maps of the unit disk
pp 133-148
- By Herbert Hunziker, Department of Mathematics, University of Zürich Rämistrasse 74 CH-8001 Zürich (Switzerland), Hans Jarchow, Department of Mathematics, University of Zürich Rämistrasse 74 CH-8001 Zürich (Switzerland), Vania Mascioni, Department of Mathematics, University of Zürich Rämistrasse 74 CH-8001 Zürich (Switzerland)
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Minimal and strongly minimal Orlicz sequence spaces
pp 149-164
- By N. J. Kalton, Department of Mathematics, University of Missouri Columbia, MO. 65211
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Type and cotype in Musielak-Orlicz spaces
pp 165-180
- By A. Kamińiska, A. Mickiewicz University and Oakland University, B. Turett, Oakland University
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On the complex Grothendieck constant in the n-dimensional case
pp 181-198
- By Hermann König
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Pathological properties and dichotomies for random quotients of finite-dimensional Banach spaces
pp 199-218
- By Piotr Mankiewicz, Institute of Mathematics, Polish Academy of Sciences, Warsaw, POLAND, Nicole Tomczak-Jaegermann, Department of Mathematics, University of Alberta, Edmonton, Alberta, CANADA
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A note on a low M*-estimate
pp 219-230
- By V. Milman
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The p1/p in Pisier's factorization theorem
pp 231-236
- By S.J. Montgomery-Smith
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Almost differentiablity of convex functions in Banach spaces and determination of measures by their values on balls
pp 237-244
- By D. Preiss
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When E and E[E] are isomorphic
pp 245-252
- By C.J. Read
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A note on Gaussian measure of translates of balls
pp 253-256
- By Michel Talagrand
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Sublattices of M(X) isometric to M[0,1]
pp 257-270
- By Lutz W. Weis, Louisiana State University, Baton Rouge, Louisiana 70803
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Geometry of Banach Spaces

Proceedings of the Conference Held in Strobl, Austria 1989

Book description

Refine List

Actions for selected content:

Contents

Frontmatter
pp i-iv

Contents
pp v-vi

Foreword
pp vii-viii

List of Main Lectures
pp ix-x

List of Participants
pp xi-xiv

A note on H. Ishihara and W. Takahashi modulus of convexity
pp 1-4

A property of non-strongly regular operators
pp 5-24

The entropy of convex bodies with ‘few’ extreme points
pp 25-32

Spaces of vector valued analytic functions and applications
pp 33-48

Notes on approximation properties in separable Banach spaces
pp 49-64

Moduli of complex convexity
pp 65-70

Grothendieck type inequalities and weak Hilbert spaces
pp 71-88

A weak topology characterization of l1 (m)
pp 89-94

Singular integral operators: a martingale approach
pp 95-110

Remarks about the interpolation of Radon-Nikodym operators
pp 111-120

Symmetric sequences in finite-dimensional normed spaces
pp 121-132

Some topologies on the space of analytic self-maps of the unit disk
pp 133-148

Minimal and strongly minimal Orlicz sequence spaces
pp 149-164

Type and cotype in Musielak-Orlicz spaces
pp 165-180

On the complex Grothendieck constant in the n-dimensional case
pp 181-198

Pathological properties and dichotomies for random quotients of finite-dimensional Banach spaces
pp 199-218

A note on a low M*-estimate
pp 219-230

The p1/p in Pisier's factorization theorem
pp 231-236

Almost differentiablity of convex functions in Banach spaces and determination of measures by their values on balls
pp 237-244

When E and E[E] are isomorphic
pp 245-252

A note on Gaussian measure of translates of balls
pp 253-256

Sublattices of M(X) isometric to M[0,1]
pp 257-270

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Geometry of Banach Spaces

Proceedings of the Conference Held in Strobl, Austria 1989

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Contents

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