On one class of non-dissipative operators

V. N. Levchuk

Poltava National Technical Yuri Kondratyuk University, 24 Pershotravnevyi Ave., Poltava 36011, Ukraine

Abstract: The non-dissipative operator of integration is studied in the weight space. Its similarity to the operator of integration in the space without weight is proved. The functional model for this operator is obtained.

Key words and phrases: non-dissipative operator, characteristic function, similarity, functional model.

MSC: 47A45

Received: 19.10.2015
Revised: 10.11.2016

Language: English

DOI: 10.15407/mag13.02.173

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