Functional Analysis: Proceedings of the Seminar at the University of Texas at Austin, 1986–87

Haskell Rosenthal (auth.), Edward W. Odell Jr., Haskell P. Rosenthal (eds.)9783540500186, 3540500189, 0387500189

The articles in this volume are based on talks given in a seminar at Austin during 1986-87. They range from those dealing with fresh research and discoveries to exposition and new proofs of older results. The main topics and themes include geometric and analytic properties of infinite-dimensional Banach spaces and their convex subsets as well as some aspects of Banach spaces associated with harmonic analysis and Banach algebras.

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Table of contents :
On the Choquet representation theorem….Pages 1-32
Extraction of almost symmetric subsequences in r.i. spaces….Pages 33-42
Concepts in the real interpolation of Banach spaces….Pages 43-53
On almost i.i.d. subsequences of the trigonometric system….Pages 54-63
An example concerning strong regularity and points of continuity in Banach spaces….Pages 64-79
On certain convex subsets of c 0 ….Pages 80-111
Complemented translation-invariant subspaces….Pages 112-125
Averaging weakly null sequences….Pages 126-144
On approximation numbers of the canonical embedding ℓ p m → ℓ q m ….Pages 145-149
JH * had the C*PCP….Pages 150-155
L 1 -Convexity….Pages 156-174
Spectra in quasi-Banach algebras….Pages 175-178
On similarity of nests in hilbert space and in Banach spaces….Pages 179-194
A proof of Borsuk’s theorem….Pages 195-202