Functional Analysis: Proceedings of the Seminar at the University of Texas at Austin, 1986-87 (Lecture Notes in Mathematics (1332))

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. This book provides a comprehensive description of 1) products that are made from or that contain nitrogen, 2) the processes that produce these products and 3) the markets that consume these products. The goal has been to present an abundance of information in one book so that the reader will find the maximum amount of useful information in one place. The first four chapters provide basic information about nitrogen and nitrogen products and processes. Chapters 5 through 20 provide detailed descriptions of various nitrogen or nitrogen-containing products. The material is presented in a standardized format that should make this book easy to use and helpful to all readers. A wide variety of readers in countries around the world should find the book useful - from students to professors, to technical professionals to business marketing personnel. 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 Annotation 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