About functional models of commutative systems of operators in the spaces of de Branges
DOI:
https://doi.org/10.15407/dopovidi2017.04.007Keywords:
commutative system of operators, functional modelAbstract
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.
Downloads
References
Zolotarev, V. A. (2008). Functional model of commutative operator systems. J. Math. Physics, Analysis, Geometry, 4, No 3, pp. 420-440.
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).
Livshits, M. S., Yantsevich, A. A. (1971). A theory of operator knots in Hilbert spaces. Kharkov: Izd-vo Kharkov. un-ta (in Russian).
Zolotarev, V. A. (2003). Analytical methods of spectral presentations of not self-conjugate and nonunitary operators. Kharkov: Izd-vo Kharkov. un-ta (in Russian).
Zolotarev, V. A. (1988). Model representations of commutative systems of linear operators. Functional Analysis and Its Applications, 22, Iss. 1, pp. 55-57. https://doi.org/10.1007/BF01077726
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2024 Reports of the National Academy of Sciences of Ukraine
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
