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Generalized B*-algebras and applications

Fragoulopoulou, Maria.

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Generalized B*-algebras and applications

Record Type:	Electronic resources : Monograph/item
Title/Author:	Generalized B*-algebras and applications/ by Maria Fragoulopoulou ... [et al.].
other author:	Fragoulopoulou, Maria.
Published:	Cham :Springer International Publishing : : 2022.,
Description:	xii, 241 p. :ill., digital ;24 cm.
[NT 15003449]:	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.
Contained By:	Springer Nature eBook
Subject:	Associative algebras. -
Online resource:	https://doi.org/10.1007/978-3-030-96433-7
ISBN:	9783030964337

Generalized B*-algebras and applications
Generalized B*-algebras and applications[electronic resource] /by Maria Fragoulopoulou ... [et al.]. - Cham :Springer International Publishing :2022. - xii, 241 p. :ill., digital ;24 cm. - Lecture notes in mathematics,v. 22981617-9692 ;. - Lecture notes in mathematics ;v. 2298..

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.

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.

ISBN: 9783030964337

Standard No.: 10.1007/978-3-030-96433-7doiSubjects--Topical Terms:

540541
Associative algebras.

LC Class. No.: QA251.5

Dewey Class. No.: 512.46

Generalized B*-algebras and applications
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245 0 0 $a Generalized B*-algebras and applications $h [electronic resource] / $c by Maria Fragoulopoulou ... [et al.].
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505 0 $a 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.
520 $a 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.
650 0 $a Associative algebras. $3 540541
650 0 $a Convex functions. $3 544201
650 1 4 $a Associative Rings and Algebras. $3 897405
650 2 4 $a Functional Analysis. $3 893943
650 2 4 $a Operator Theory. $3 897311
700 1 $a Fragoulopoulou, Maria. $3 1068996
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a Lecture notes in mathematics ; $v v. 2298. $3 3602230
856 4 0 $u https://doi.org/10.1007/978-3-030-96433-7
950 $a Mathematics and Statistics (SpringerNature-11649)