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Hilbert C*-Modules - E. Christopher Lance

Hilbert C*-Modules

A Toolkit for Operator Algebraists
Buch | Softcover
144 Seiten
1995
Cambridge University Press (Verlag)
978-0-521-47910-3 (ISBN)
CHF 52,35 inkl. MwSt
This book provides, for the first time, a clear and unified exposition of the main techniques and results in operator algebras, including a substantial amount of new and unpublished material. This book will be welcomed as an excellent resource for all graduate students and researchers working in this area.
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clear and unified exposition of the main techniques and results in this area, including a substantial amount of new and unpublished material.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.

1. Modules; 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; 9. Unbounded operators; 10. The bounded transform, unbounded multipliers.

Erscheint lt. Verlag 16.3.1995
Reihe/Serie London Mathematical Society Lecture Note Series
Zusatzinfo Worked examples or Exercises
Verlagsort Cambridge
Sprache englisch
Maße 151 x 226 mm
Gewicht 208 g
Themenwelt Mathematik / Informatik Mathematik Algebra
Mathematik / Informatik Mathematik Analysis
ISBN-10 0-521-47910-X / 052147910X
ISBN-13 978-0-521-47910-3 / 9780521479103
Zustand Neuware
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