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Hilbert C*-modules : a toolkit for operator algebraists /

Hilbert C*-modules are objects like Hilbert spaces, except that the inner product, instead of being complex valued, takes its values in a C*-algebra. The theory of these modules, together with their bounded and unbounded operators, is not only rich and attractive in its own right but forms an infras...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Lance, E. C. (E. Christopher)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge ; New York : Cambridge University Press, 1995.
Colección:London Mathematical Society lecture note series ; 210.
Temas:
Acceso en línea:Texto completo

MARC

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245 1 0 |a Hilbert C*-modules :  |b a toolkit for operator algebraists /  |c E.C. Lance. 
260 |a Cambridge ;  |a New York :  |b Cambridge University Press,  |c 1995. 
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490 1 |a London Mathematical Society lecture note series ;  |v 210 
504 |a Includes bibliographical references (pages 123-128) and index. 
588 0 |a Print version record. 
520 |a Hilbert C*-modules are objects like Hilbert spaces, except that the inner product, instead of being complex valued, takes its values in a C*-algebra. The theory of these modules, together with their bounded and unbounded operators, is not only rich and attractive in its own right but forms an infrastructure for some of the most important research topics in operator algebras. This book is based on a series of lectures given by Professor Lance at a summer school at the University of Trondheim. It provides, for the first time, a clear and unified exposition of the main techniques and results in this area, including a substantial amount of new and unpublished material. It will be welcomed as an excellent resource for all graduate students and researchers working in operator algebras. 
505 0 |a Cover; Title; Copyright; Contents; Preface; 1. Modules and mappings; 2. Multipliers and morphisms; 3. Projections and unitaries; 4. Tensor products; 5. The KSGNS construction; 6. Stabilisation or absorption; 7. Full modules, Morita equivalence; 8. Slice maps and bialgebras; Appendix: The reduced C*-algebra of a locally compact group; 9. Unbounded operators; 10. The bounded transform, unbounded multipliers; 11. What next?; References; Index 
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650 0 |a Hilbert modules. 
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