Operators Similar to Contractions and Their Similarity to a Normal Operator

Details Operators Similar to Contractions and Their Similarity to a Normal Operator Operators Similar to Contractions and Their Similarity to a Normal Operator

2001-11-10

arxiv.org/abs/math/0111125v1

Mathematics

Spectral Theory

LaTex, 17 pages, preliminary version

Scientific paper

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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