On similarity of perturbed multiplication operators
Functional Analysis
2007-05-23 v1
Abstract
Let S be the multiplication operator by an independent variable x in L_2(0,1) and V be an integral operator of Volterra type. We find conditions for T:=S+V to be similar to S and discuss some generalisations of the results obtained to an abstract setting.
Cite
@article{arxiv.math/0009195,
title = {On similarity of perturbed multiplication operators},
author = {Rostyslav O. Hryniv and Yaroslav V. Mykytyuk},
journal= {arXiv preprint arXiv:math/0009195},
year = {2007}
}
Comments
9 pages; Latex 2.09; submitted to Math. Notes