Generalized B*-algebras and applications / Maria Fragoulopoulou, Atsushi Inoue, Martin Weigt, Ioannis Zarakas.
Fragoulopoulou, Maria, author.; Inoue, Atsushi, 1944- author.; Weigt, Martin, author.; Zarakas, Ioannis, author.
2022
QA251.5
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Title
Generalized B*-algebras and applications / Maria Fragoulopoulou, Atsushi Inoue, Martin Weigt, Ioannis Zarakas.
Author
Fragoulopoulou, Maria, author.
ISBN
9783030964337 (electronic bk.)
3030964337 (electronic bk.)
9783030964320 (print)
DOI
https://doi.org/10.1007/978-3-030-96433-7
Published
Cham, Switzerland : Springer, 2022.
Language
English
Description
1 online resource (xii, 241 pages).
Item Number
10.1007/978-3-030-96433-7 doi
Call Number
QA251.5
Dewey Decimal Classification
512/.46
Summary
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.
Bibliography, etc. Note
Includes bibliographical references and index.
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Access limited to authorized users.
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed June 14, 2022).
Added Author
Inoue, Atsushi, 1944- author.
Weigt, Martin, author.
Zarakas, Ioannis, author.
Series
Lecture notes in mathematics (Springer-Verlag) ; 2298. 1617-9692
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All Resources
1. Introduction
2. A Spectral Theory for Locally Convex Algebras
3. Generalized B*-Algebras: Functional Representation Theory
4. Commutative Generalized B*-Algebras: Functional Calculus and Equivalent Topologies
5. Extended C*-Algebras and Extended W*-Algebras
6. Generalized B*-Algebras: Unbounded *-Representation Theory
7. Applications I: Miscellanea
8. Applications II: Tensor Products.

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