Topological Vector Spaces (Chapman & Hall/CRC Pure and Applied Mathematics)

Narici, Lawrence; Beckenstein, Edward

ISBN 10: 1584888660 / ISBN 13: 9781584888666

Published by Chapman and Hall/CRC, 2010

About this Item

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Bibliographic Details

• Title: Topological Vector Spaces (Chapman & Hall/CRC Pure and Applied Mathematics)
• Publisher: Chapman and Hall/CRC
• Publication Date: 2010
• Language: English
• ISBN 10: 1584888660
• ISBN 13: 9781584888666
• Binding: Hardcover
• Edition: 2nd Edition
• Condition: very_good

About this title

Synopsis

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 vector-valued Hahn–Banach theorems. It also considers different approaches to the Banach–Stone theorem as well as variations of the theorem.

The book covers locally convex spaces; barreled, bornological, and webbed spaces; and reflexivity. It traces the development of various theorems from their earliest beginnings to present day, providing historical notes to place the results in context. The authors also chronicle the lives of key mathematicians, including Stefan Banach and Eduard Helly.

Suitable for both beginners and experienced researchers, this book contains an abundance of examples, exercises of varying levels of difficulty with many hints, and an extensive bibliography and index.

About the Author

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