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

doi:10.1017/CBO9780511662317

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Geometry of Banach Spaces

Geometry of Banach Spaces

Proceedings of the Conference Held in Strobl, Austria 1989

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Edited by P. F. X. Müller, Johannes Kepler Universität Linz, W. Schachermayer, Johannes Kepler Universität Linz

Publisher:: Cambridge University Press
Online publication date:: May 2010
Print publication year:: 1991
Online ISBN:: 9780511662317
DOI:: https://doi.org/10.1017/CBO9780511662317

Subjects:: Mathematics (general), Mathematics, Abstract Analysis
Series:: London Mathematical Society Lecture Note Series (158)

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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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Geometry of Banach Spaces

Proceedings of the Conference Held in Strobl, Austria 1989

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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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