Title | About functional models of commutative systems of operators in the spaces of de Branges |
Publication Type | Journal Article |
Year of Publication | 2017 |
Authors | Syrovatskyi, VN |
Abbreviated Key Title | Dopov. Nac. akad. nauk Ukr. |
DOI | 10.15407/dopovidi2017.04.007 |
Issue | 4 |
Section | Mathematics |
Pagination | 7-11 |
Date Published | 4/2017 |
Language | Russian |
Abstract | For the commutative system of linear bounded operators T1, T2 which act in a Hilbert space H and are such that none of them is a compression, a functional model is built in the space of de Branges for a circle. |
Keywords | commutative system of operators, functional model |
References:
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- Sirovatsky, V. N. (2012). Functional models for commutative systems of operators close to a unitary one. Kharkov University Bulletin, No 1018, pp. 41-61 (in Russian).
- Syrovatskyi, V. N. (2014). Functional Models in De Branges Spaces of One Class Commutative Operators. J. Math. Physics, Analysis, Geometry, 10, No 4, pp. 430-450.
- Zolotarev, V. A., Sirovatsky, V. N. (2005). Transformation de Branges on the terms. Kharkov University Bulletin, No 711, Iss. 55, pp. 80-92 (in Russian).
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