Perturbation determinants in Banach spaces - with an application to eigenvalue estimates for perturbed operators
Spectral Theory
2016-09-12 v2
Abstract
In the first part of this paper we provide a self-contained introduction to (regularized) perturbation determinants for operators in Banach spaces. In the second part, we use these determinants to derive new bounds on the discrete eigenvalues of compactly perturbed operators, broadly extending some recent results by Demuth et al. In addition, we also establish new bounds on the discrete eigenvalues of generators of -semigroups.
Cite
@article{arxiv.1507.06816,
title = {Perturbation determinants in Banach spaces - with an application to eigenvalue estimates for perturbed operators},
author = {Marcel Hansmann},
journal= {arXiv preprint arXiv:1507.06816},
year = {2016}
}
Comments
Slightly corrected version (change of terminology: 'p-ideal' --> 'l_p-ideal'). To appear in Mathematische Nachrichten