2 papers
math.SP2001
Operators Similar to Contractions and Their Similarity to a Normal Operator
Stanislav Kupin
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…
math.CA2001
Criteria for Similarity of a Dissipative Integral Operator to a Normal Operator
Stanislav Kupin, Vasiliy Vasyunin
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 o…