Direct and inverse spectral problems for rank-one perturbations of self-adjoint operators
Spectral Theory
2020-07-20 v1
Abstract
For a given self-adjoint operator with discrete spectrum, we completely characterize possible eigenvalues of its rank-one perturbations~ and discuss the inverse problem of reconstructing from its spectrum.
Keywords
Cite
@article{arxiv.2007.08841,
title = {Direct and inverse spectral problems for rank-one perturbations of self-adjoint operators},
author = {Oles Dobosevych and Rostyslav Hryniv},
journal= {arXiv preprint arXiv:2007.08841},
year = {2020}
}
Comments
19 pages