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.
Table of Contents
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.