Inequalities for the eigenvalues of non-selfadjoint Jacobi operators
Spectral Theory
2011-02-22 v1 Functional Analysis
Abstract
We prove Lieb-Thirring-type bounds on eigenvalues of non-selfadjoint Jacobi operators, which are nearly as strong as those proven previously for the case of selfadjoint operators by Hundertmark and Simon. We use a method based on determinants of operators and on complex function theory, extending and sharpening earlier work of Borichev, Golinskii and Kupin.
Cite
@article{arxiv.0901.1725,
title = {Inequalities for the eigenvalues of non-selfadjoint Jacobi operators},
author = {Marcel Hansmann and Guy Katriel},
journal= {arXiv preprint arXiv:0901.1725},
year = {2011}
}