Topological Vector Spaces: 2nd Edition (e-Book) book cover

Topological Vector Spaces

2nd Edition

By Lawrence Narici, Edward Beckenstein

Chapman and Hall/CRC

628 pages

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Hardback: 9781584888666
pub: 2010-07-26
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pub: 2010-07-26
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With many new concrete examples and historical notes, Topological Vector Spaces, Second Edition provides one of the most thorough and up-to-date treatments of the Hahn-Banach theorem. This edition explores the theorem's connection with the axiom of choice, discusses the uniqueness of Hahn-Banach extensions, and includes an entirely new chapter on v

Table of Contents

Background. Commutative Topological Groups. Completeness. Topological Vector Spaces. Locally Convex Spaces and Seminorms. Bounded Sets. Hahn-Banach Theorems. Duality. Krein-Milman and Banach-Stone Theorems. Vector-Valued Hahn-Banach Theorems. Barreled Spaces. Inductive Limits. Bornological Spaces. Closed Graph Theorems. Reflexivity. Norm Convexities and Approximation. Bibliography. Index.

About the Authors

Lawrence Narici and Edward Beckenstein are professors of mathematics at St. John's University in New York.

Subject Categories

BISAC Subject Codes/Headings:
MATHEMATICS / Geometry / General
MATHEMATICS / Functional Analysis