@Article{Strack2010,
author = "Strack, Beata",
title = "A note on the discrete Schrödinger operator with a perturbed periodic potential",
journal = "Opuscula Math.",
year = "2010",
volume = "30",
number = "2",
pages = "193--202",
doi = "http://dx.doi.org/10.7494/OpMath.2010.30.2.193",
url = "http://dx.doi.org/10.7494/OpMath.2010.30.2.193",
abstract = "The aim of this paper is to study the spectrum of the one-dimensional discrete Schrödinger operator with a perturbed periodic potential. We obtain natural conditions under which this perturbation preserves the essential spectrum of the considered operator. Conditions on the number of isolated eigenvalues are given.",
keywords = "one-dimensional Schrödinger operator, Jacobi operator, perturbation of periodic potential, essential spectrum, discrete part of the spectrum",
issn = "1232-9274"
}