Topological Vector Spaces

Chapters 1–5

  • Authors
  • Nicolas Bourbaki

Part of the Elements of Mathematics book series

Table of contents

  1. Front Matter
    Pages I-VII
  2. Nicolas Bourbaki
    Pages 31-125
  3. Nicolas Bourbaki
    Pages 127-176
  4. Nicolas Bourbaki
    Pages 177-252
  5. Nicolas Bourbaki
    Pages 253-331
  6. Back Matter
    Pages 334-358

About this book


This is a softcover reprint of the English translation of 1987 of the second edition of Bourbaki's Espaces Vectoriels Topologiques (1981).
This Äsecond editionÜ is a brand new book and completely supersedes the original version of nearly 30 years ago. But a lot of the material has been rearranged, rewritten, or replaced by a more up-to-date exposition, and a good deal of new material has been incorporated in this book, all reflecting the progress made in the field during the last three decades.
Table of Contents.
Chapter I: Topological vector spaces over a valued field.
Chapter II: Convex sets and locally convex spaces.
Chapter III: Spaces of continuous linear mappings.
Chapter IV: Duality in topological vector spaces.
Chapter V: Hilbert spaces (elementary theory).
Finally, there are the usual "historical note", bibliography, index of notation, index of terminology, and a list of some important properties of Banach spaces.
(Based on Math Reviews, 1983)


Functional analysis YellowSale2006 operators approximation functional analysis topological vector space topology

Bibliographic information

  • DOI
  • Copyright Information Springer Berlin Heidelberg 2003
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-42338-6
  • Online ISBN 978-3-642-61715-7
  • Buy this book on publisher's site