English

On the discrete spectrum of non-selfadjoint operators

Spectral Theory 2009-09-10 v1

Abstract

We prove quantitative bounds on the eigenvalues of non-selfadjoint unbounded operators obtained from selfadjoint operators by a perturbation that is relatively-Schatten. These bounds are applied to obtain new results on the distribution of eigenvalues of Schroedinger operators with complex potentials.

Keywords

Cite

@article{arxiv.0908.2188,
  title  = {On the discrete spectrum of non-selfadjoint operators},
  author = {Michael Demuth and Marcel Hansmann and Guy Katriel},
  journal= {arXiv preprint arXiv:0908.2188},
  year   = {2009}
}