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Classical Banach-Lie Algebras and Banach-Lie Groups of Operators in Hilbert Space

  • Book
  • © 1972

Overview

Authors:
  1. Pierre Harpe
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 285)

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Table of contents (7 chapters)

  1. Front Matter

    Pages i-iii
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  2. Introduction

    • Pierre de la Harpe
    Pages 1-15

  3. Detailed table of contents

    • Pierre de la Harpe
    Pages 16-20

  4. Some notations and conventions

    • Pierre de la Harpe
    Pages 21-22

  5. Classical involutive Lie algebras of finite rank operators

    • Pierre de la Harpe
    Pages 23-71

  6. Classical involutive Banach-Lie algebras and groups of bounded and compact operators

    • Pierre de la Harpe
    Pages 72-114

  7. Examples of infinite dimensional Hilbert symmetric spaces

    • Pierre de la Harpe
    Pages 115-133

  8. On the cohomology of the classical complex Lie algebras of compact operators

    • Pierre de la Harpe
    Pages 134-146

  9. Back Matter

    Pages 147-160
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Keywords

Bibliographic Information

  • Book Title: Classical Banach-Lie Algebras and Banach-Lie Groups of Operators in Hilbert Space

  • Authors: Pierre Harpe

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0071306

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1972

  • Softcover ISBN: 978-3-540-05984-4Published: 18 September 1972

  • eBook ISBN: 978-3-540-37970-6Published: 14 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: VI, 166

  • Topics: Topological Groups, Lie Groups, Mathematics, general

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