Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4615174 | Journal of Mathematical Analysis and Applications | 2015 | 21 Pages |
Abstract
We study spectral properties of one-dimensional singular nonselfadjoint perturbations of an unbounded selfadjoint operator and give criteria for the possibility to remove the whole spectrum by a perturbation of this type. A counterpart of our results for the case of bounded operators provides a complete description of compact selfadjoint operators whose rank one perturbation is a Volterra operator.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Anton D. Baranov, Dmitry V. Yakubovich,