Overview

The papers in this volume yield a variety of techniques for penetrating the structure of Banach spaces. Contributors discuss the structure of Baire Class 1 functions with Banach space applications, operator extension problems, the structure of Banach lattices, tensor products of operators and Banach spaces, Banach spaces of certain classes of Fourier series, uniformly stable Banach spaces, the hyperplane conjecture for convex bodies, and applications of probability theory to local Banach space structure.

Full Product Details

Author:   Edward E., Jr. Odell ,  Haskell P. Rosenthal
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   1991 ed.
Volume:   1470
Dimensions:   Width: 17.00cm , Height: 1.10cm , Length: 24.20cm
Weight:   0.670kg
ISBN:  

9783540542063

ISBN 10:   354054206
Pages:   208
Publication Date:   24 July 1991
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

On certain classes of Baire-1 functions with applications to Banach space theory.- Normed spaces with a weak-Gordon-Lewis property.- On the geometry of the Banach-Mazur compactum.- Some remarks about the space of measures with uniformly bounded partial sums and Banach-Mazur distances between some spaces of polynomials.- Operators which factor through Banach lattices not containing c 0.- Remarks on Talagrand's deviation inequality for Rademacher functions.- A global approach to certain operator extension problems.- Weakly null sequences with upper ?p-estimates.- On tensor products of operators from L p to L q .- Limited sets in injective tensor products.- Lower and upper 2-estimates for order bounded sequences and Dunford-Pettis operators between certain classes of Banach lattices.- Embedding ?1 into tensor products of Banach spaces.- A remark on the paper Martingale inequalities in rearrangement invariant function spaces by W.B. Johnson and G. Schechtman.- Twisted types and uniform stability.

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