Topological Algebras

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Topological Algebras

By Balachandran, V.K.

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This book consists of nine chapters. Chapter 1 is devoted to algebraic preliminaries. Chapter 2 deals with some of the basic definition and results concerning topological groups, topological linear spaces and topological algebras. Chapter 3 considered some generalizations of the norm. Chapter 4 is concerned with a generalization of the notion of convexity called p-convexity. In Chapter 5 some differential and integral analysis involving vector valued functions is developed. Chapter 6 is concerned with spectral analysis and applications. The Gelfand representation theory is the subject-matter of Chapter 7. Chapter 8 deals with commutative topological algebras. Finally in Chapter 9 an exposition of the norm uniqueness theorems of Gelfand and Johnson (extended to p-Banach algebras) is given.

Subject: Mathematics & Statistics -> Calculus -> Introductory Linear Algebra

Topological Algebras
Publisher: Elsevier S & T 11/2000
Imprint: North Holland
Language: English
Length: 460 pages

ISBN 10: 0444506098
ISBN 13: 9780444506092
Print ISBN: 9780444506092

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