Topological Algebras

✍ Scribed by V.K. Balachandran (Eds.)

• Book ID: 127420139
• Publisher: Elsevier
• Year: 2000
• Tongue: English
• Weight: 2 MB
• Series: North-Holland mathematics studies 185
• Edition: 1
• Category: Library
• City: Amsterdam; New York
• ISBN: 0080543081
• ISSN: 0304-0208

✦ Synopsis

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.<br