Criteria for Similarity of a Dissipative Integral Operator to a Normal Operator
classification
🧮 math.CA
math.SP
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operatorsimilaritydissipativeintegralnormalbrodskii-livshitsconcernedconditions
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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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