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| TOPOLOGICAL ALGEBRAS WITH INVOLUTION, 200
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By
M. Fragoulopoulou, Department of Mathematics, University of Athens, Greece
Included in series
North-Holland Mathematics Studies, 200
Description
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.
Audience
Advanced under graduate students and graduate students, Researchers, University Libraries.
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.
Bibliography.
| Bibliographic details |
Hardbound, 512 pages, publication date: JUL-2005
ISBN-13: 978-0-444-52025-8
ISBN-10: 0-444-52025-2
Imprint: NORTH-HOLLAND
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| Price and Ordering |
Price:
GBP 121
USD 185
EUR 142.95
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Last update: 3 Oct 2009
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