Operators Similar to Contractions and Their Similarity to a Normal Operator

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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.
LaTex, 17 pages, preliminary version

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Spectral Theory, Classical Analysis and ODEs, 47B15, 47B44

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http://salesiana.dossiersoluciones.com/handle/123456789/62623

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0111125
 http://arxiv.org/abs/math/0111125

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arXiv