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  3. Hilbert C*-Modules
  • Cited by 458
Publisher:
Cambridge University Press
Online publication date:
September 2009
Print publication year:
1995
Online ISBN:
9780511526206
DOI:
https://doi.org/10.1017/CBO9780511526206
Subjects:
Mathematics (general), Mathematics, Abstract Analysis
Series:
London Mathematical Society Lecture Note Series (210)
Information

Book description

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clear and unified exposition of the main techniques and results in this area, including a substantial amount of new and unpublished material.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.

Reviews

"This is a delightful volume and a worthy addition to the literature on C*-algebras." Robert S. Doran, Mathematical Reviews

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