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Generalized B*-Algebras and Applications

Generalized B*-Algebras and Applications
Catalogue Information
Field name Details
Dewey Class 512.9
Title Generalized B*-Algebras and Applications ([EBook]) / Maria Fragoulopoulou, Atsushi Inoue, Martin Weigt, Ioannis Zarakas
Author Fragoulopoulou, Maria
Added Personal Name Inoue, Atsushi , 1944-
Weigt, Martin
Zarakas, Ioannis
Publication Cham : Springer International Publishing , 2022
Physical Details : online resource (xii, 241 pages)
Series Lecture Notes in Mathematics ; 2298
ISBN 9783030964337
Summary Note 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.:
Mode of acces to digital resource Digital reproduction.- Cham : Springer International Publishing, 2022. - Digital book. Cham Springer Nature 2022. - Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site https://doi.org/10.1007/978-3-030-96433-7
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