Description
| Product ID: | 9783030964320 |
| Product Form: | Paperback / softback |
| Country of Manufacture: | GB |
| Series: | Lecture Notes in Mathematics |
| Title: | Generalized B*-Algebras and Applications |
| Authors: | Author: Atsushi Inoue, Martin Weigt, Maria Fragoulopoulou, Ioannis Zarakas |
| Page Count: | 241 |
| Subjects: | Algebra, Algebra, Functional analysis and transforms, Functional analysis & transforms |
| Description: | Select Guide Rating 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. 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. |
| Imprint Name: | Springer Nature Switzerland AG |
| Publisher Name: | Springer Nature Switzerland AG |
| Country of Publication: | GB |
| Publishing Date: | 2022-06-10 |
