Description
Book SynopsisThis textbook is designed for a year-long introductory course in Functional Analysis and the theory of Operator Algebras. It guides graduate students and researchers through a wide range of topics including Hilbert spaces, Weak Topologies and C*-algebras. With numerous problems and examples, it is suitable for classroom teaching and self-learning.
Table of ContentsPreface; Notation; 1. Preliminaries; 2. Normed Linear Spaces; 3. Hilbert Spaces; 4. Dual Spaces; 5. Operators on Banach Spaces; 6. Weak Topologies; 7. Spectral Theory; 8. C*-Algebras; 9. Measure and Integration; 10. Normal Operators on Hilbert Spaces; Appendices; A.1 The Stone–Weierstrass Theorem; A.2 The Radon–Nikodym Theorem; Bibliography; Index.
