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Topological Vector Spaces: Chapters 1-5 Paperback - 2002
by N. Bourbaki; H. G. Eggleston (Translator); S. Madan (Translator)
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From the publisher
First line
It is equivalent to saying that E is a topological left K-module (GT, III, § 6.6).
From the rear cover
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).
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)
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).
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)
Details
- Title Topological Vector Spaces: Chapters 1-5
- Author N. Bourbaki; H. G. Eggleston (Translator); S. Madan (Translator)
- Binding Paperback
- Edition N/A
- Pages 362
- Volumes 1
- Language ENG
- Publisher Springer, Berlin
- Publication date 2002-11-13
- Features Bibliography, Index
- ISBN 9783540423386 / 3540423389
- Weight 1.27 lbs (0.58 kg)
- Dimensions 9.3 x 6.2 x 0.85 in (23.62 x 15.75 x 2.16 cm)
- Category Mathematics
- Library of Congress Catalogue Number 88127075
- Dewey Decimal Code 515.73
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