Rank one perturbations of diagonal operators without eigenvalues
Functional Analysis
2015-06-23 v1
Abstract
In this paper, we prove that every diagonal operator on a Hilbert space of which is of multiplicity one and has perfect spectrum admits a rank one perturbation without eigenvalues. This answers a question of Ionascu.
Cite
@article{arxiv.1506.06283,
title = {Rank one perturbations of diagonal operators without eigenvalues},
author = {Hubert Klaja},
journal= {arXiv preprint arXiv:1506.06283},
year = {2015}
}
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18 Pages