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Bundles of Topological Vector Spaces and Their Duality

  • Book
  • © 1982

Overview

Authors:
  1. Gerhard Gierz
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 955)

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Table of contents (23 chapters)

  1. Front Matter

    Pages I-IV
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  2. Introduction

    • Gerhard Gierz
    Pages 1-6

  3. Notational remarks

    • Gerhard Gierz
    Pages 7-7

  4. Basic definitions

    • Gerhard Gierz
    Pages 8-21

  5. Full bundles and bundles with completely regular base space

    • Gerhard Gierz
    Pages 22-27

  6. Bundles with locally paracompact base spaces

    • Gerhard Gierz
    Pages 28-38

  7. Stone - Weierstraß theorems for bundles

    • Gerhard Gierz
    Pages 39-43

  8. An alternative description of spaces of sections: Function modules

    • Gerhard Gierz
    Pages 44-59

  9. Some algebraic aspects of Ω-spaces

    • Gerhard Gierz
    Pages 60-61

  10. A third description of spaces of sections: C(X)-convex modules

    • Gerhard Gierz
    Pages 62-79

  11. C(X)-submodules of Γ(p)

    • Gerhard Gierz
    Pages 80-85

  12. Quotients of bundles and C(X)-modules

    • Gerhard Gierz
    Pages 86-94

  13. Morphisms between bundles

    • Gerhard Gierz
    Pages 95-111

  14. Bundles of operators

    • Gerhard Gierz
    Pages 112-135

  15. Excursion: Continuous lattices and bundles

    • Gerhard Gierz
    Pages 136-143

  16. M-structure and bundles

    • Gerhard Gierz
    Pages 144-153

  17. An adequate M-theory for Ω-spaces

    • Gerhard Gierz
    Pages 154-158

  18. Duality

    • Gerhard Gierz
    Pages 159-182

  19. The closure of the "unit ball" of a bundle and separation axioms

    • Gerhard Gierz
    Pages 183-199

  20. Locally trivial bundles: A definition

    • Gerhard Gierz
    Pages 200-201
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Keywords

Bibliographic Information

  • Book Title: Bundles of Topological Vector Spaces and Their Duality

  • Authors: Gerhard Gierz

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0068863

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1982

  • Softcover ISBN: 978-3-540-11610-3Published: 01 September 1982

  • eBook ISBN: 978-3-540-39437-2Published: 15 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: VI, 298

  • Topics: Analysis

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