Generalized B*-Algebras and Applications

Häftad, Engelska, 2022

Av Maria Fragoulopoulou, Atsushi Inoue, Martin Weigt, Ioannis Zarakas

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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.

Produktinformation

Utgivningsdatum2022-06-10
Mått155 x 235 x 27 mm
Vikt400 g
FormatHäftad
SpråkEngelska
SerieLecture Notes in Mathematics
Antal sidor241
FörlagSpringer Nature Switzerland AG
ISBN9783030964320

Tillhör följande kategorier

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 deals with the theory of locally convex algebras, in general, and of generalizedB_-algebras (GB_-algebras in short) in particular. It is well written and self-contained.” (Lahbib Oubbi, Mathematical Reviews, November, 2023)“The book has been written by specialists that are actively working in the field. The choice of the presented material has been done with great care. The bibliography contains all classical monographs, all important papers, and most recent ones. The book leads the reader 'smoothly' ... . It will therefore serve as an excellent introduction to this theory for graduate students. It should also provide a valuable reference source for researchers in the field.” (Andrzej Sołtysiak, zbMATH 1498.46001, 2022)