Operators on Hilbert Space
| By: | V. S. Sunder |
| Publisher: | Springer Nature |
| Print ISBN: | 9789811018152 |
| eText ISBN: | 9789811018169 |
| Edition: | 0 |
| Copyright: | 2016 |
| Format: | Page Fidelity |
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Table of Contents
The primarily objective of the book is to serve as a primer on the theory of bounded linear operators on separable Hilbert space. The book presents the spectral theorem as a statement on the existence of a unique continuous and measurable functional calculus. It discusses a proof without digressing into a course on the Gelfand theory of commutative Banach algebras. The book also introduces the reader to the basic facts concerning the various von Neumann–Schatten ideals, the compact operators, the trace-class operators and all bounded operators.