Generalized B*-Algebras and Applications

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 Ogas...

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Bibliographic Details
Main Authors: Fragoulopoulou, Maria, Inoue, Atsushi (Author), Weigt, Martin (Author), Zarakas, Ioannis (Author)
Format: eBook
Language:English
Published: Cham Springer International Publishing 2022, 2022
Edition:1st ed. 2022
Series:Lecture Notes in Mathematics
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • 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