paper

Perturbation theory for selfadjoint relations

arXiv:1806.07503

Abstract

We study Weyl-type perturbation theorems in the context of linear closed relations. We establish general results on perturbations for dissipative relations. In the particular case of selfadjoint relations, we study finite-rank perturbations and carry out a detailed analysis of the corresponding changes in the spectrum.

20 pages, no figures, typographical errors corrected and references added

Perturbation theory for selfadjoint relations · wovepaper