Banach Modules and Functors on Categories of Banach Spaces
by J. Cigler, V. Losert, P.W. Michor
Publisher: Marcel Dekker Inc 1979
Number of pages: 297
This book is the final outgrowth of a sequence of seminars about functors on categories of Banach spaces (held in the years 1971 - 1975) and several doctoral dissertations. It has been written for readers with a general background in functional analysis.
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by John Erdos - King's College London
These are notes for a King's College course to fourth year undergraduates and MSc students. They cover the theoretical development of operators on Hilbert space up to the spectral theorem for bounded selfadjoint operators.
by Serge Richard - Nagoya University
From the table of contents: Linear operators on a Hilbert space; C*-algebras; Crossed product C*-algebras; Schroedinger operators and essential spectrum; Twisted crossed product C*-algebras; Pseudodifferential calculus; Magnetic systems.
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These two volumes present the theory of operator algebras with applications to quantum statistical mechanics. The authors' approach to the operator theory is to a large extent governed by the dictates of the physical applications.
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These notes form an introductory account of C*-algebras. Some results on more general commutative Banach algebras, whose proofs require little extra effort, are included. There are accounts of two applications of the commutative theory ...