Topological Algebras with Involution - 1st Edition - ISBN: 9780444520258, 9780080461229

Topological Algebras with Involution, Volume 200

1st Edition

Authors: M. Fragoulopoulou
Hardcover ISBN: 9780444520258
eBook ISBN: 9780080461229
Imprint: North Holland
Published Date: 26th July 2005
Page Count: 512
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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. Bibliography.


Description

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.

Key Features

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

Readership

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


Details

No. of pages:
512
Language:
English
Copyright:
© North Holland 2005
Published:
Imprint:
North Holland
eBook ISBN:
9780080461229
Hardcover ISBN:
9780444520258

Reviews

"A distinctive (and very nice) feature of the book is a large number of well-chosen examples. There are also many useful historical remarks...This is a most welcome addition to the existing literature on topological algebras."
-MATHEMATICAL REVIEWS

"The author gives a comprehensive account of the theory of topological algebras with involution. A topological algebra is an associative algebra A whose underlying vector space is a topological vector space with the property that the ring multiplication in A is separately continuous. An outstanding class of topological algebras are those equipped with a continuous involution: these are the so-called topological *-algebras. A particular class of topological *-algebras, to which considerable attention is given through the book, is that of m-convex algebras: they are the topological *-algebras whose topology is defined by family of *-preserving submultiplicative seminorms. The whole work is divided into seven chapters.… Special attention is paid to Q-algebras."--ZentralblattMATH


About the Authors

M. Fragoulopoulou Author

Affiliations and Expertise

Department of Mathematics, University of Athens, Greece