Some results on non-self-adjoint operators, a survey

Details Some results on non-self-adjoint operators, a survey Some results on non-self-adjoint operators, a survey

2008-04-23

arxiv.org/abs/0804.3701v1

Mathematics

Spectral Theory

Scientific paper

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.

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