On the point spectrum of some perturbed differential operators with periodic coefficients
Spectral Theory
2007-08-08 v1 Functional Analysis
Abstract
Finiteness of the point spectrum of linear operators acting in a Banach space is investigated from point of view of perturbation theory. In the first part of the paper we present an abstract result based on analytical continuation of the resolvent function through continuous spectrum. In the second part, the abstract result is applied to differential operators which can be represented as a differential operator with periodic coefficients perturbed by an arbitrary subordinated differential operator.
Keywords
Cite
@article{arxiv.0708.0854,
title = {On the point spectrum of some perturbed differential operators with periodic coefficients},
author = {Igor Cialenco},
journal= {arXiv preprint arXiv:0708.0854},
year = {2007}
}