Generalized B*-Algebras and Applications (Paperback, 1st ed. 2022)

This book reviews the theory of 'generalized B*-algebras' (GB*-algebras), a class of complete locally convex *-algebras which includes all C*-algebras and some of their extensions. A functional calculus and a spectral theory for GB*-algebras is presented, together with results such as Ogasawara's commutativity condition, Gelfand-Naimark type theorems, a Vidav-Palmer type theorem, an unbounded representation theory, and miscellaneous applications. Numerous contributions to the subject have been made since its initiation by G.R. Allan in 1967, including the notable early work of his student P.G. Dixon. Providing an exposition of existing research in the field, the book aims to make this growing theory as familiar as possible to postgraduate students interested in functional analysis, (unbounded) operator theory and its relationship to mathematical physics. It also addresses researchers interested in extensions of the celebrated theory of C*-algebras.

General

Imprint:	Springer Nature Switzerland AG
Country of origin:	Switzerland
Series:	Lecture Notes in Mathematics, 2298
Release date:	June 2022
First published:	2022
Authors:	Maria Fragoulopoulou • Atsushi Inoue • Martin Weigt • Ioannis Zarakas
Dimensions:	235 x 155 x 27mm (L x W x T)
Format:	Paperback
Pages:	241
Edition:	1st ed. 2022
ISBN-13:	978-3-03-096432-0
Categories:	Books > Science & Mathematics > Mathematics > Algebra > General Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis Promotions
LSN:	3-03-096432-9
Barcode:	9783030964320

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