Perturbation theory for selfadjoint relations
Mathematical Physics
2019-05-14 v4 math.MP
Spectral Theory
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.
Keywords
Cite
@article{arxiv.1806.07503,
title = {Perturbation theory for selfadjoint relations},
author = {Josué I. Rios-Cangas and Luis O. Silva},
journal= {arXiv preprint arXiv:1806.07503},
year = {2019}
}
Comments
20 pages, no figures, typographical errors corrected and references added