This book constitutes a first- or second-year graduate course in operator theory. It is a field that has great importance for other areas of mathematics and physics, such as algebraic topology, differential geometry, and quantum mechanics. It assumes a basic knowledge in functional analysis but no prior acquaintance with operator theory is required.
First- and second-year graduate students.
Elementary Spectral Theory. C-Algebras and Hilbert Space Operators. Ideals and Positive Functionals. Von Neumann Algebras. Representations of C-Algebras. Direct Limits and Tensor Products. K-Theory of C*-Algebras.
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- © Academic Press 1990
- 28th August 1990
- Academic Press
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University College, Cork, Ireland