Spectral Theory of Self-Adjoint Operators in Hilbert Space

M. S. Birman, M. Z. Solomjak (auth.)9027711070, 9789027711076

Table of contents :
Front Matter….Pages i-xvi
Preliminaries….Pages 1-17
Hilbert Space Geometry. Continuous Linear Operators….Pages 18-59
Unbounded Linear Operators….Pages 60-96
Symmetric and Isometric Operators….Pages 97-122
Spectral Measure. Integration….Pages 123-139
Spectral Resolutions….Pages 140-158
Functional Model and the Unitary Invariants of Self-adjoint Operators….Pages 159-182
Some Applications of Spectral Theory….Pages 183-205
Perturbation Theory….Pages 206-220
Semibounded Operators and Forms….Pages 221-241
Classes of Compact Operators….Pages 242-278
Commutation Relations of Quantum Mechanics….Pages 279-296
Back Matter….Pages 297-301