Spectra of rank-one perturbations of self-adjoint operators
Spectral Theory
2020-06-23 v1
Abstract
We characterize possible spectra of rank-one perturbations B of a self-adjoint operator A with discrete spectrum and, in particular, prove that the spectrum of B may include any number of real or non-real eigenvalues of arbitrary algebraic multiplicity
Keywords
Cite
@article{arxiv.2006.12241,
title = {Spectra of rank-one perturbations of self-adjoint operators},
author = {Oles Dobosevych and Rostyslav Hryniv},
journal= {arXiv preprint arXiv:2006.12241},
year = {2020}
}
Comments
26 pages