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Generalized B*-Algebras and Applications

Af: Martin Weigt, Ioannis Zarakas, Atsushi Inoue, Maria Fragoulopoulou Engelsk Paperback

Generalized B*-Algebras and Applications

Af: Martin Weigt, Ioannis Zarakas, Atsushi Inoue, Maria Fragoulopoulou Engelsk Paperback
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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.

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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.

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Produktdetaljer
Sprog: Engelsk
Sider: 241
ISBN-13: 9783030964320
Indbinding: Paperback
Udgave:
ISBN-10: 3030964329
Kategori: Funktionsanalyse og transformation
Udg. Dato: 10 jun 2022
Længde: 27mm
Bredde: 235mm
Højde: 154mm
Forlag: Springer Nature Switzerland AG
Oplagsdato: 10 jun 2022
Forfatter(e): Martin Weigt, Ioannis Zarakas, Atsushi Inoue, Maria Fragoulopoulou
Forfatter(e) Martin Weigt, Ioannis Zarakas, Atsushi Inoue, Maria Fragoulopoulou

Kategori Funktionsanalyse og transformation

ISBN-13 9783030964320

Sprog Engelsk

Indbinding Paperback

Sider 241

Udgave

Længde 27mm

Bredde 235mm

Højde 154mm

Udg. Dato 10 jun 2022

Oplagsdato 10 jun 2022

Forlag Springer Nature Switzerland AG