Some results on non-self-adjoint operators, a survey
arXiv:0804.3701
Abstract
This text is a survey of recent results obtained by the author and collaborators on different problems for non-self-adjoint operators. The topics are: Kramers-Fokker-Planck type operators, spectral asymptotics in two dimensions and Weyl asymptotics for the eigenvalues of non-self-adjoint operators with small random perturbations. In the introduction we also review the notion of pseudo-spectrum and its relation to non-self-adjoint spectral problems.
References in corpus (5)
- Semi-classical States for Non-self-adjoint Schrodinger Operators
- Bohr-Sommerfeld quantization condition for non-selfadjoint operators in dimension 2
- Eigenvalue distribution for non-self-adjoint operators with small multiplicative random perturbations
- Perturbations of Jordan Matrices
- A uniform quantum version of the Cherry theorem