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Introductory Theory of Topological Vector SPates : Chapman & Hall/CRC Pure and Applied Mathematics - Wong Yau-Chun

Introductory Theory of Topological Vector SPates

Chapman & Hall/CRC Pure and Applied Mathematics

Hardcover

Published: 1st August 1992
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This text offers an overview of the basic theories and techniques of functional analysis and its applications. It contains topics such as the fixed point theory starting from Ky Fan's KKM covering and quasi-Schwartz operators. It also includes over 200 exercises to reinforce important concepts.;The author explores three fundamental results on Banach spaces, together with Grothendieck's structure theorem for compact sets in Banach spaces (including new proofs for some standard theorems) and Helley's selection theorem. Vector topologies and vector bornologies are examined in parallel, and their internal and external relationships are studied. This volume also presents recent developments on compact and weakly compact operators and operator ideals; and discusses some applications to the important class of Schwartz spaces.;This text is designed for a two-term course on functional analysis for upper-level undergraduate and graduate students in mathematics, mathematical physics, economics and engineering. It may also be used as a self-study guide by researchers in these disciplines.

Hahn-Banach's Extension Theorem
Banach spaces and Hilbert spaces
Operators and some consequences of Hahn-Banach's Extension Theorem
The Uniform Boundedness Theorem and Banach's Open Mapping Theorem
A structure theorem for compact sets in a Banach space
Topological injections and topological surjections
Vector topologies
Separation theorems and Krein-Milman's Theorem
Projective topologies and inductive topologies
Normed spaces associated with a locally convex space
Vector
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780824787790
ISBN-10: 082478779X
Series: Chapman & Hall/CRC Pure and Applied Mathematics
Audience: Tertiary; University or College
Format: Hardcover
Language: English
Number Of Pages: 440
Published: 1st August 1992
Publisher: Taylor & Francis Inc
Country of Publication: US
Dimensions (cm): 27.9 x 21.6  x 2.8
Weight (kg): 0.77
Edition Number: 1