Criteria for Similarity of a Dissipative Integral Operator to a Normal Operator
Classical Analysis and ODEs
2007-05-23 v1 Spectral Theory
Abstract
We consider an integral dissipative operator in its Brodskii-Livshits triangular representation. The main question we are concerned with is similarity of the operator to a normal one. We obtain necessary as well as sufficient conditions for the similarity. The study is based on functional model technique.
Keywords
Cite
@article{arxiv.math/0111124,
title = {Criteria for Similarity of a Dissipative Integral Operator to a Normal Operator},
author = {Stanislav Kupin and Vasiliy Vasyunin},
journal= {arXiv preprint arXiv:math/0111124},
year = {2007}
}
Comments
AMSTex, 31 pages