Journal of Mathematical Physics, Analysis, Geometry
2017, vol. 13, No 2, pp. 173-194   https://doi.org/10.15407/mag13.02.173     ( to contents , go back )
https://doi.org/10.15407/mag13.02.173

On One Class of Non-Dissipative Operators

V.N. Levchuk

Poltava National Technical Yuri Kondratyuk University 24 Pershotravnevyi Ave., Poltava 36011, Ukraine
E-mail: lentina88@mail.ru

Received October 19, 2015, revised November 10, 2016

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.

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

Download 342453 byte View Contents

 
Copyright ILTPE. 2017. All rights reserved.
ISSN: 1812-9471 (Print) | ISSN: 1817-5805 (Online)