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

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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.
AMSTex, 31 pages

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Classical Analysis and ODEs, Spectral Theory, 47B15, 47G10

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http://salesiana.dossiersoluciones.com/handle/123456789/62622

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0111124
 http://arxiv.org/abs/math/0111124
 Algebra i Analiz, 13 (2001), no. 3, 65-104 (Russian)

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arXiv