Operators on Hilbert Space

This book's principal goals are:

(i) to present the spectral theorem as a statement on the existence of a unique continuous and measurable functional calculus,
(ii) to present a proof without digressing into a course on the Gelfand theory of commutative Banach algebras,
(iii) to introduce the reader to the basic facts concerning the various von Neumann-Schatten ideals, the compact operators, the trace-class operators and all bounded operators, and finally,
(iv) to serve as a primer on the theory of bounded linear operators on separable Hilbert space.

Contents

Preface Acknowledgements
1 Hilbert space
2 The Spectral Theorem
3 Beyond normal operators
Appendix
Bibliography
Index