Skip to main content
  • Book
  • © 1978

Topological Vector Spaces

The Theory Without Convexity Conditions

Part of the book series: Lecture Notes in Mathematics (LNM, volume 639)

Buying options

eBook USD 29.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 39.95
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

This is a preview of subscription content, access via your institution.

Table of contents (20 chapters)

  1. Front Matter

    Pages I-V
  2. Introduction

    • Norbert Adasch, Bruno Ernst, Dieter Keim
    Pages 1-4
  3. Strings and linear topologies

    • Norbert Adasch, Bruno Ernst, Dieter Keim
    Pages 5-9
  4. Metrizable topological vector spaces

    • Norbert Adasch, Bruno Ernst, Dieter Keim
    Pages 10-15
  5. Projective limits of topological vector spaces

    • Norbert Adasch, Bruno Ernst, Dieter Keim
    Pages 16-18
  6. Inductive limits of topological vector spaces

    • Norbert Adasch, Bruno Ernst, Dieter Keim
    Pages 19-23
  7. Topological direct sums, strict inductive limits

    • Norbert Adasch, Bruno Ernst, Dieter Keim
    Pages 24-30
  8. Barrelled topological vector spaces

    • Norbert Adasch, Bruno Ernst, Dieter Keim
    Pages 31-37
  9. The Banach-steinhaus theorem

    • Norbert Adasch, Bruno Ernst, Dieter Keim
    Pages 38-40
  10. Barrelled spaces and the closed graph theorem

    • Norbert Adasch, Bruno Ernst, Dieter Keim
    Pages 41-46
  11. Barrelled spaces and the open mapping theorem

    • Norbert Adasch, Bruno Ernst, Dieter Keim
    Pages 47-50
  12. Completeness and the closed graph theorem

    • Norbert Adasch, Bruno Ernst, Dieter Keim
    Pages 51-59
  13. Bornological spaces

    • Norbert Adasch, Bruno Ernst, Dieter Keim
    Pages 60-65
  14. Spaces of continuous linear mappings and their completion

    • Norbert Adasch, Bruno Ernst, Dieter Keim
    Pages 66-69
  15. Quasibarrelled spaces

    • Norbert Adasch, Bruno Ernst, Dieter Keim
    Pages 70-73
  16. Boundedly summing spaces

    • Norbert Adasch, Bruno Ernst, Dieter Keim
    Pages 74-78
  17. Locally topological spaces

    • Norbert Adasch, Bruno Ernst, Dieter Keim
    Pages 79-83
  18. Spaces with an absorbing sequence

    • Norbert Adasch, Bruno Ernst, Dieter Keim
    Pages 84-91
  19. σ-locally topological spaces

    • Norbert Adasch, Bruno Ernst, Dieter Keim
    Pages 92-97
  20. (DF)-spaces and spaces with a fundamental sequence of compact sets

    • Norbert Adasch, Bruno Ernst, Dieter Keim
    Pages 98-108

Keywords

  • Topologischer Vektorraum
  • Vector
  • graph
  • theorem
  • topology
  • vector space

Bibliographic Information

  • Book Title: Topological Vector Spaces

  • Book Subtitle: The Theory Without Convexity Conditions

  • Authors: Norbert Adasch, Bruno Ernst, Dieter Keim

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0068514

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1978

  • Softcover ISBN: 978-3-540-08662-8Published: 01 February 1978

  • eBook ISBN: 978-3-540-35918-0Published: 15 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: VIII, 132

  • Topics: Mathematics

Buying options

eBook USD 29.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 39.95
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions