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

Stanislav Kupin·Vasiliy Vasyunin
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Abstract

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.

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Stanislav Kupin, Vasiliy Vasyunin. 2001-11-10. Criteria for Similarity of a Dissipative Integral Operator to a Normal Operator. https://arxiv.org/abs/math/0111124

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