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M-Ideals in Banach Spaces and Banach Algebras

  • Book
  • © 1993

Overview

Authors:
  1. Peter Harmand
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  2. Dirk Werner
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  3. Wend Werner
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1547)

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Table of contents (6 chapters)

  1. Front Matter

    Pages I-VIII
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  2. Basic theory of M-ideals

    • Peter Harmand, Dirk Werner, Wend Werner
    Pages 1-47

  3. Geometric properties of M-ideals

    • Peter Harmand, Dirk Werner, Wend Werner
    Pages 49-100

  4. Banach spaces which are M-ideals in their biduals

    • Peter Harmand, Dirk Werner, Wend Werner
    Pages 101-155

  5. Banach spaces which are L-summands in their biduals

    • Peter Harmand, Dirk Werner, Wend Werner
    Pages 157-214

  6. M-ideals in Banach algebras

    • Peter Harmand, Dirk Werner, Wend Werner
    Pages 215-261

  7. M-ideals in spaces of bounded operators

    • Peter Harmand, Dirk Werner, Wend Werner
    Pages 263-344

  8. Back Matter

    Pages 345-387
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Keywords

About this book

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.

Bibliographic Information

  • Book Title: M-Ideals in Banach Spaces and Banach Algebras

  • Authors: Peter Harmand, Dirk Werner, Wend Werner

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0084355

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1993

  • Softcover ISBN: 978-3-540-56814-8Published: 29 July 1993

  • eBook ISBN: 978-3-540-47753-2Published: 15 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: VIII, 396

  • Topics: Analysis

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