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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 | | 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. | | Source: | arXiv, math.CA/0111124 | | Services: | Forum | Review | PDF | Favorites | |
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