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.
Rezensionen / Stimmen
J.E. Gale.....the book is readable, concise, clear and well-organized. It is self-contained, including detailed, but not jumbly, discussions on basic aspects of the theory such as inversion or relationships between the real and complex case.......Mathematical Reviews
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Verlagsgruppe
Elsevier Science & Technology
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Gewicht
ISBN-13
978-0-444-50609-2 (9780444506092)
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Schweitzer Klassifikation
Autor*in
Ramanujan Institute for Advanced Studies in Mathematics, Chennai, India.
Chapter 1: Algebraic PreliminariesChapter 2: Topological PreliminariesChapter 3: Some Type of Topological AlgebrasChapter 4: Locally Pseudo-Convex Spaces and AlgebrasChapter 5: Some AnalysisChapter 6: Spectral Analysis in Topological AlgebrasChapter 7: Gelfand Representation TheoryChapter 8: Commutative Topological AlgebrasChapter 9: Norm Uniqueness TheoremsAppendix. Type Chart. Biliography. Index. List of Special Symbols. List of Special Abbreviations.
