Topological Algebras with Involution

Topological Algebras with Involution

1st Edition - July 26, 2005

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  • Author: M. Fragoulopoulou
  • eBook ISBN: 9780080461229

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This book familiarizes both popular and fundamental notions and techniques from the theory of non-normed topological algebras with involution, demonstrating with examples and basic results the necessity of this perspective. The main body of the book is focussed on the Hilbert-space (bounded) representation theory of topological *-algebras and their topological tensor products, since in our physical world, apart from the majority of the existing unbounded operators, we often meet operators that are forced to be bounded, like in the case of symmetric *-algebras. So, one gets an account of how things behave, when the mathematical structures are far from being algebras endowed with a complete or non-complete algebra norm. In problems related with mathematical physics, such instances are, indeed, quite common.Key features:- Lucid presentation- Smooth in reading- Informative- Illustrated by examples- Familiarizes the reader with the non-normed *-world- Encourages the hesitant- Welcomes new comers.

Key Features

- Well written and lucid presentation.
- Informative and illustrated by examples.
- Familiarizes the reader with the non-normed *-world.


Advanced under graduate students and graduate students, Researchers, University Libraries.

Table of Contents

  • Introduction.
    Part I: General Theory.
    I. Background material.
    II. Locally C* -algebras.
    III. Representation theory.
    IV. Structure space of an m* -convex algebra.
    V. Hermitian and symmetric topological *-algebras.
    Part II: Applications.
    VI. Integral representations. Uniqueness of topology.
    VII. Tensor products of topological *-algebras.

Product details

  • No. of pages: 512
  • Language: English
  • Copyright: © North Holland 2005
  • Published: July 26, 2005
  • Imprint: North Holland
  • eBook ISBN: 9780080461229

About the Author

M. Fragoulopoulou

Affiliations and Expertise

Department of Mathematics, University of Athens, Greece

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