Saks Spaces and Applications to Functional Analysis

✍ Scribed by J.B. Cooper (Eds.)

• Publisher: Elsevier, Academic Press
• Year: 1987
• Tongue: English
• Leaves: 381
• Series: North-Holland Mathematics Studies 139
• Edition: 2nd, Revised
• Category: Library

✦ Synopsis

The first edition of this monograph appeared in 1978. In view of the progress made in the intervening years, the original text has been revised, several new sections have been added and the list of references has been updated. The book presents a systematic treatment of the theory of Saks Spaces, i.e. vector space with a norm and related, subsidiary locally convex topology. Applications are given to space of bounded, continuous functions, to measure theory, vector measures, spaces of bounded measurable functions, spaces of bounded analytic functions, and to W*-algebras.

✦ Table of Contents

Content:
Editor
Page ii

Edited by
Page iii

Copyright page
Page iv

Preface
Pages v-vii
J.B. Cooper

Chapter I–Mixed Topologies
Pages 1-105

Chapter II–Spaces of Bounded, Continuous Functions
Pages 106-223

Chapter III–Spaces of Bounded, Measurable Functions
Pages 224-278

Chapter IV–Von Neumann Algebras
Pages 279-316

Chapter V–Spaces of Bounded Holomorphic Functions
Pages 317-363

Index of Notations
Pages 364-367

Index of Terms
Pages 368-372