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 Gerald Teschl - University of Vienna
This free manuscript provides a brief introduction to Functional Analysis. The text covers basic Hilbert and Banach space theory including Lebesgue spaces and their duals (no knowledge about Lebesgue integration is assumed).
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Introduction to Jordan algebras of operators on Hilbert spaces and their abstract counterparts. It develops the theory of Jordan operator algebras to a point from which the theory of C*- and von Neumann algebras can be generalized to Jordan algebras.
by G. Jungman - Los Alamos National Laboratory
Lecture notes on operator algebras. From the table of contents: Structure Theory I; von Neumann Algebras; States and Representations; Structure Theory II; Matrices; Automorphism Groups; Extensions; K-Theory; Nuclear C* Algebras.
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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.