Journal of Mathematical Physics, Analysis, Geometry
2017, vol. 13, No 2, pp. 173-194     ( to contents , go back )

On One Class of Non-Dissipative Operators

V.N. Levchuk

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

Received October 19, 2015, revised November 10, 2016


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.

Mathematics Subject Classification 2000: 47A45.
Key words: non-dissipative operator, characteristic function, similarity, functional model.

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