The theme of this book is operator theory on C*-algebras. The main novel tool employed is the concept of local multipliers. Originally devised by Elliott and Pedersen in the 1970's in order to study derivations and automorphisms, local multipliers of C*-algebras were developed into a powerful device by the present authors in the 1990's. The book serves two purposes. The first part provides the reader - specialist and advanced graduate student alike - with a thorough introduction to the theory of local multipliers. Only a minimal knowledge of algebra and analysis is required, as the prerequisites in both non-commutative ring theory and basic C*-algebra theory are presented in the first chapter. In the second part, local multipliers are used to obtain a wealth of information on various classes of operators on C*-algebras, including (groups of) automorphisms, derivations, elementary operators, Lie isomorphisms and Lie derivations, as well as others. Many of the results appear in print for the first time. The authors have made an effort to avoid intricate technicalities thus some of the results are not pushed to their utmost generality. Several open problems are discussed, and hints for further developments are given.
Product Identifiers
Publisher
Springer London Ltd
ISBN-13
9781852332372
eBay Product ID (ePID)
96549995
Product Key Features
Author
Pere Ara, Martin Mathieu
Publication Name
Local Multipliers of C*-Algebras
Format
Hardcover
Language
English
Subject
Mathematics
Publication Year
2002
Type
Textbook
Number of Pages
319 Pages
Dimensions
Item Height
235mm
Item Width
155mm
Item Weight
1440g
Additional Product Features
Title_Author
Martin Mathieu, Pere Ara
Series Title
Springer Monographs in Mathematics
Country/Region of Manufacture
United Kingdom
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