Items related to Generalized B*-Algebras and Applications (Lecture Notes...

Generalized B*-Algebras and Applications (Lecture Notes in Mathematics) - Softcover

Fragoulopoulou, Maria; Inoue, Atsushi; Weigt, Martin; Zarakas, Ioannis

 
9783030964320: Generalized B*-Algebras and Applications (Lecture Notes in Mathematics)
Softcover
ISBN 10: 3030964329 ISBN 13: 9783030964320
Publisher: Springer, 2022

Synopsis

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.

"synopsis" may belong to another edition of this title.

From the Back Cover

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.

"About this title" may belong to another edition of this title.

Publisher
Springer
Publication date
2022
Language
English
ISBN 10 
3030964329
ISBN 13 
9783030964320
Binding
Paperback
Edition number
1
Number of pages
256