Topological Vector Spaces

July 26, 2010|
Topological Vector Spaces by Lawrence Narici
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With many new concrete examples and historical notes,Topological Vector Spaces, Second Editionprovides 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.

Lawrence NariciandEdward Beckensteinare professors of mathematics at St. John's University in New York.
Title:Topological Vector SpacesFormat:HardcoverProduct dimensions:628 pages, 9.25 X 6.14 X 0.98 inShipping dimensions:628 pages, 9.25 X 6.14 X 0.98 inPublished:July 26, 2010Publisher:Taylor and FrancisLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:1584888660

ISBN - 13:9781584888666

Appropriate for ages: All ages

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