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Jordan, Real and Lie Structures in Operator Algebras

Author: Shavkat Ayupov; Abdugafur Rakhimov; Shukhrat Usmanov
Publisher: Dordrecht : Springer Netherlands, 1997.
Series: Mathematics and Its Applications, 418.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
This book develops a new approach to the study of infinite-dimensional Jordan and Lie algebras and real associative *-algebras of operators on a Hilbert space. All these algebras are canonically generated by involutive antiautomorphisms of von Neumann algebras. The first purpose of the book is to study the deep structure theory for Jordan operator algebras similar to (complex) von Neumann algebras theory, such as  Read more...
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Details

Genre/Form: Electronic books
Additional Physical Format: Print version:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Shavkat Ayupov; Abdugafur Rakhimov; Shukhrat Usmanov
ISBN: 9789401586054 9401586055
OCLC Number: 851390740
Description: 1 online resource (ix, 230 pages).
Contents: Preliminaries --
1: Jordan Operator Algebras --
2: Real Structure in W*-Algebras --
3: Lie Structure in Operator Algebras --
References.
Series Title: Mathematics and Its Applications, 418.
Responsibility: by Shavkat Ayupov, Abdugafur Rakhimov, Shukhrat Usmanov.

Abstract:

The theory of operator algebras acting on a Hilbert space was initiated in thirties by papers of Murray and von Neumann. The structure of these algebras has happened to be close to the struc- ture of  Read more...

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