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.

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.