Generalized B*-Algebras and Applications: 2298 . Fragoulopoulou, Inoue, Weig**

Springer Nature Switzerland AG

Generalized B*-Algebras and ApplicationsAuthor(s): Maria Fragoulopoulou, Atsushi Inoue, Martin Weigt, Ioannis Zarakas\nFormat: Paperback\nPublisher: Springer Nature Switzerland AG, Switzerland\nImprint: Springer Nature Switzerland AG\nISBN-13: 9783030964320, 978-3030964320\nSynopsis\nThis 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, GelfandNaimark type theorems, a VidavPalmer type theorem, an unbounded representation theory, and miscellaneous [url] contributions to the subject have been made since its initiation by [url] Allan in 1967, including the notable early work of his student [url] Dixon. Providing an exposition of existing research in the field, the book aims to make this growing theory as familiar as possib.