Lawrence Narici, Edward Beckenstein

Topological Vector Spaces (eBook, ePUB)

• Format: ePub

Produktbeschreibung

With many new concrete examples and historical notes, this 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 authors trace the development of various theorems and chronicle the lives of key mathematicians, such as Stefan Banach and Eduard Helly.

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Produktdetails

• Verlag: Taylor & Francis eBooks
• Erscheinungstermin: 26. Juli 2010
• Englisch
• ISBN-13: 9781040172612
• Artikelnr.: 73303265

Autorenporträt

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

Inhaltsangabe

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.