Topological algebras [E-Book] / V.K. Balachandran.
Balachandran, V. K.
Amsterdam ; New York : Elsevier, 2000
1 online resource (xii, 442 p.)
englisch
0080543081
0444506098
9780444506092
9780080543086
North-Holland mathematics studies, 185
Full Text
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.