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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
Links to Related Works
Subject References:
Algebra
.
Authors:
Fragoulopoulou, Maria
.
Inoue, Atsushi 1944-
.
Weigt, Martin
.
Zarakas, Ioannis
.
Series:
Lecture Notes in Mathematics
.
Classification:
512.9
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