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.
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.
On the Choquet representation theorem.- Extraction of almost symmetric subsequences in r.i. spaces.- Concepts in the real interpolation of Banach spaces.- On almost i.i.d. subsequences of the trigonometric system.- An example concerning strong regularity and points of continuity in Banach spaces.- On certain convex subsets of c 0.- Complemented translation-invariant subspaces.- Averaging weakly null sequences.- On approximation numbers of the canonical embedding ? p m ? ? q m .- JH* had the C*PCP.- L 1-Convexity.- Spectra in quasi-Banach algebras.- On similarity of nests in hilbert space and in Banach spaces.- A proof of Borsuk's theorem.
On the Choquet representation theorem.- Extraction of almost symmetric subsequences in r.i. spaces.- Concepts in the real interpolation of Banach spaces.- On almost i.i.d. subsequences of the trigonometric system.- An example concerning strong regularity and points of continuity in Banach spaces.- On certain convex subsets of c 0.- Complemented translation-invariant subspaces.- Averaging weakly null sequences.- On approximation numbers of the canonical embedding ? p m ? ? q m .- JH* had the C*PCP.- L 1-Convexity.- Spectra in quasi-Banach algebras.- On similarity of nests in hilbert space and in Banach spaces.- A proof of Borsuk's theorem.
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