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

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

2001-11-10

arxiv.org/abs/math/0111124v1

Algebra i Analiz, 13 (2001), no. 3, 65-104 (Russian)

Mathematics

Classical Analysis and ODEs

AMSTex, 31 pages

Scientific paper

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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