Book contents
- Frontmatter
- Contents
- 1 Introduction
- 2 Unbounded operators, adjoints, and self-adjoint operators
- 3 Representation theorems
- 4 Semibounded operators and the Friedrichs extension
- 5 Compact operators: general properties and examples
- 6 Spectral theory for bounded operators
- 7 Applications to statistical mechanics and partial differential equations
- 8 Self-adjoint unbounded operators and spectral theory
- 9 Essentially self-adjoint operators
- 10 The discrete spectrum and essential spectrum
- 11 The max–min principle
- 12 Spectral questions about the Rayleigh equation
- 13 Non-self-adjoint operators and pseudospectra
- 14 Applications to non-self-adjoint one-dimensional models
- 15 Applications in kinetic theory: the Fokker–Planck operator
- 16 Problems
- Bibliography
- Index
16 - Problems
Published online by Cambridge University Press: 05 March 2013
Book contents
- Frontmatter
- Contents
- 1 Introduction
- 2 Unbounded operators, adjoints, and self-adjoint operators
- 3 Representation theorems
- 4 Semibounded operators and the Friedrichs extension
- 5 Compact operators: general properties and examples
- 6 Spectral theory for bounded operators
- 7 Applications to statistical mechanics and partial differential equations
- 8 Self-adjoint unbounded operators and spectral theory
- 9 Essentially self-adjoint operators
- 10 The discrete spectrum and essential spectrum
- 11 The max–min principle
- 12 Spectral questions about the Rayleigh equation
- 13 Non-self-adjoint operators and pseudospectra
- 14 Applications to non-self-adjoint one-dimensional models
- 15 Applications in kinetic theory: the Fokker–Planck operator
- 16 Problems
- Bibliography
- Index
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- Spectral Theory and its Applications , pp. 234 - 247Publisher: Cambridge University PressPrint publication year: 2013