Generalized B*-Algebras and Applications / Lecture Notes in Mathematics Bd.2298 (PDF)
(Sprache: Englisch)
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,...
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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.
Bibliographische Angaben
- Autoren: Maria Fragoulopoulou , Atsushi Inoue , Martin Weigt , Ioannis Zarakas
- 2022, 1st ed. 2022, 241 Seiten, Englisch
- Verlag: Springer International Publishing
- ISBN-10: 3030964337
- ISBN-13: 9783030964337
- Erscheinungsdatum: 09.06.2022
Abhängig von Bildschirmgröße und eingestellter Schriftgröße kann die Seitenzahl auf Ihrem Lesegerät variieren.
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- Größe: 3.48 MB
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Sprache:
Englisch
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