M-Ideals in Banach Spaces and Banach Algebras

  • Authors
  • Peter Harmand
  • Dirk Werner
  • Wend Werner
Part of the Lecture Notes in Mathematics book series (LNM, volume 1547)

Table of contents

  1. Front Matter
    Pages I-VIII
  2. Peter Harmand, Dirk Werner, Wend Werner
    Pages 1-47
  3. Peter Harmand, Dirk Werner, Wend Werner
    Pages 49-100
  4. Peter Harmand, Dirk Werner, Wend Werner
    Pages 101-155
  5. Peter Harmand, Dirk Werner, Wend Werner
    Pages 157-214
  6. Peter Harmand, Dirk Werner, Wend Werner
    Pages 215-261
  7. Peter Harmand, Dirk Werner, Wend Werner
    Pages 263-344
  8. Back Matter
    Pages 345-387

About this book

Introduction

This book provides a comprehensive exposition of M-ideal theory, a branch ofgeometric functional analysis which deals with certain subspaces of Banach spaces arising naturally in many contexts. Starting from the basic definitions the authors discuss a number of examples of M-ideals (e.g. the closed two-sided ideals of C*-algebras) and develop their general theory. Besides, applications to problems from a variety of areas including approximation theory, harmonic analysis, C*-algebra theory and Banach space geometry are presented. The book is mainly intended as a reference volume for researchers working in one of these fields, but it also addresses students at the graduate or postgraduate level. Each of its six chapters is accompanied by a Notes-and-Remarks section which explores further ramifications of the subject and gives detailed references to the literature. An extensive bibliography is included.

Keywords

Banach Algebras Banach Space C*-algebra Operators functional analysis

Bibliographic information

  • DOI https://doi.org/10.1007/BFb0084355
  • Copyright Information Springer-Verlag Berlin Heidelberg 1993
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-56814-8
  • Online ISBN 978-3-540-47753-2
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • About this book