Operators Similar to Contractions and Their Similarity to a Normal Operator

Stanislav Kupin

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arXiv · math/0111125

Operators Similar to Contractions and Their Similarity to a Normal Operator

Stanislav Kupin

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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.

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BibTeX RIS

Stanislav Kupin. 2001-11-10. Operators Similar to Contractions and Their Similarity to a Normal Operator. https://arxiv.org/abs/math/0111125

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