arXiv subjects

Stanislav Kupin

Publications and source records attributed to Stanislav Kupin.

2 recordsLinked to original sources

arXiv2001

Criteria for Similarity of a Dissipative Integral Operator to a Normal Operator

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.

math.CA↗

arXiv2001

Operators Similar to Contractions and Their Similarity to a Normal Operator

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.

math.SP↗