Saks spaces and applications to functional analysis

Saks spaces and applications to functional analysis

by Cooper, James Bell

Type Book
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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 me…

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Title Statements

  • Full title :Saks spaces and applications to functional analysis / J.B. Cooper.

Summary

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.

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Edition Statements

  • Publication Date:1987.
  • Edition:2nd, rev. ed

Publication Statements

The Physical Object

  • Description:1 online resource (ix, 372 pages)

Edition Identifiers

  • ISBN:9780444702197, 0444702199, 9780080872506, 0080872506
  • oclc:ocn316553000
  • LC Classification:QA322
  • Dewey Decimal:515.7/3

Table of Contents

Front Cover; Saks Spaces and Applications to Functional Analysis; Copyright Page; Preface; List of Contents; Chapter I. Mixed topologies; Chapter II. Spaces of bounded, continuous functions; Chapter III. Spaces of bounded, measurable functions; Chapter IV. Von Neumann algebras; Chapter V. Spaces of bounded holomorphic functions; Index of notations; Index of terms.

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