On finite rank Hankel operators
Functional Analysis
2013-04-10 v1 Spectral Theory
Abstract
For self-adjoint Hankel operators of finite rank, we find an explicit formula for the total multiplicity of their negative and positive spectra. We also show that very strong perturbations, for example, a perturbation by the Carleman operator, do not change the total number of negative eigenvalues of finite rank Hankel operators.
Cite
@article{arxiv.1304.2677,
title = {On finite rank Hankel operators},
author = {D. R. Yafaev},
journal= {arXiv preprint arXiv:1304.2677},
year = {2013}
}