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Locally Convex Spaces

  • Textbook
  • © 1981

Overview

Authors:
  1. Hans Jarchow

    1. University of Zürich, Germany

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Part of the book series: Mathematische Leitfäden (MLF)

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Table of contents (21 chapters)

  1. Front Matter

    Pages 1-14
    Download chapter PDF

  2. Linear Topologies

    1. Vector Spaces

      • Hans Jarchow
      Pages 15-29

    2. Topological Vector Spaces

      • Hans Jarchow
      Pages 30-55

    3. Completeness

      • Hans Jarchow
      Pages 56-73

    4. Inductive Linear Topologies

      • Hans Jarchow
      Pages 74-86

    5. Baire Tvs and Webbed Tvs

      • Hans Jarchow
      Pages 87-100

    6. Locally r-Convex Tvs

      • Hans Jarchow
      Pages 101-124

    7. Theorems of Hahn-Banach, Krein-Milman, and Riesz

      • Hans Jarchow
      Pages 125-144

  3. Duality Theory for Locally Convex Spaces

    1. Basic Duality Theory

      • Hans Jarchow
      Pages 145-173

    2. Continuous Convergence and Related Topologies

      • Hans Jarchow
      Pages 174-194

    3. Local Convergence and Schwartz Spaces

      • Hans Jarchow
      Pages 195-218

    4. Barrelledness and Reflexivity

      • Hans Jarchow
      Pages 219-248

    5. Sequential Barrelledness

      • Hans Jarchow
      Pages 249-270

    6. Bornological and Ultrabornological Spaces

      • Hans Jarchow
      Pages 271-288

    7. On Topological Bases

      • Hans Jarchow
      Pages 289-321

  4. Tensor Products and Nuclearity

    1. The Projective Tensor Product

      • Hans Jarchow
      Pages 323-342

    2. The Injective Tensor Product

      • Hans Jarchow
      Pages 343-367

    3. Some Classes of Operators

      • Hans Jarchow
      Pages 368-396

    4. The Approximation Property

      • Hans Jarchow
      Pages 397-417

    5. Ideals of Operators in Banach Spaces

      • Hans Jarchow
      Pages 418-450
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Keywords

Authors and Affiliations

  • University of Zürich, Germany

    Hans Jarchow

Bibliographic Information

  • Book Title: Locally Convex Spaces

  • Authors: Hans Jarchow

  • Series Title: Mathematische Leitfäden

  • DOI: https://doi.org/10.1007/978-3-322-90559-8

  • Publisher: Vieweg+Teubner Verlag Wiesbaden

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Fachmedien Wiesbaden 1981

  • Softcover ISBN: 978-3-322-90561-1Published: 11 April 2014

  • eBook ISBN: 978-3-322-90559-8Published: 06 December 2012

  • Series ISSN: 1615-388X

  • Edition Number: 1

  • Number of Pages: 550

  • Topics: Engineering, general

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