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.
Author(s): V.K. Balachandran (Eds.)
Series: North-Holland Mathematics Studies 185
Publisher: North-Holland
Year: 2000
Language: English
Pages: 1-445
Content:
Preface
Pages ix-xii
V.K. Balachandran
Chapter I Algebraic preliminaries Original Research Article
Pages 1-72
Chapter II Topological preliminaries Original Research Article
Pages 73-99
Chapter III Some types of topological algebras Original Research Article
Pages 100-173
Chapter IV Locally pseudo-convex spaces and algebras Original Research Article
Pages 174-221
Chapter V Some analysis Original Research Article
Pages 222-261
Chapter VI Spectral analysis in TA's Original Research Article
Pages 262-295
Chapter VII Gelfand representation theory Original Research Article
Pages 296-352
Chapter VIII Computative topological algebras Original Research Article
Pages 353-410
Chapter IX Norm uniqueness theorems Original Research Article
Pages 411-425
Appendix
Pages 427-429
Type chart
Pages 431-433
Index
Pages 435-442
List of special symbols
Page 443
List of special abbreviation
Page 445
