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13 August 2020
 
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Criteria for Similarity of a Dissipative Integral Operator to a Normal Operator
Stanislav Kupin ; Vasiliy Vasyunin ;
Date 10 Nov 2001
Journal Algebra i Analiz, 13 (2001), no. 3, 65-104 (Russian)
Subject Classical Analysis and ODEs; Spectral Theory MSC-class: 47B15, 47G10 | math.CA math.SP
AbstractWe 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.
Source arXiv, math.CA/0111124
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