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Topological Vector Spaces

Chapters 1–5

  • Book
  • © 2003

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Table of contents (5 chapters)

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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 [second edition] 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).

Bibliographic Information

  • Book Title: Topological Vector Spaces

  • Book Subtitle: Chapters 1–5

  • Authors: Nicolas Bourbaki

  • DOI: https://doi.org/10.1007/978-3-642-61715-7

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2003

  • Softcover ISBN: 978-3-540-42338-6Published: 13 November 2002

  • eBook ISBN: 978-3-642-61715-7Published: 01 December 2013

  • Edition Number: 1

  • Number of Pages: VII, 362

  • Additional Information: Original French edition published by Masson, Paris, France, 1981

  • Topics: Topology, Functional Analysis

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