Operators Similar to Contractions and Their Similarity to a Normal Operator
Spectral Theory
2007-05-23 v1 Classical Analysis and ODEs
Abstract
It is proved recently by Benamara-Nikolski that a contraction having finite defects and spectrum not filling in the closed unit disc, is similar to a normal operator if and only if it has the so-called linear resolvent growth property. We obtain results of the same type for a wider (than contractions) class of operators.
Cite
@article{arxiv.math/0111125,
title = {Operators Similar to Contractions and Their Similarity to a Normal Operator},
author = {Stanislav Kupin},
journal= {arXiv preprint arXiv:math/0111125},
year = {2007}
}
Comments
LaTex, 17 pages, preliminary version