Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry]
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Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry], 2014, Volume 10, Number 4, Pages 430–450
DOI: https://doi.org/10.15407/mag10.04.430 (Mi jmag604) 		 
Functional Models in De Branges Spaces of One Class Commutative Operators

V. N. Syrovatskyi

V. N. Karazin Kharkiv National University, 4 Svobody Sq., Kharkiv 61077, Ukraine
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DOI: https://doi.org/10.15407/mag10.04.430
Abstract: For a commutative system of the linear bounded operators $ T_1$, $T_2 $, which operate in the Hilbert space $ H $ and none of the operators $ T_1$, $T_2 $ is a compression, the functional model is constructed. The model is built for a circle in de Branges space.
Key words and phrases: functional model, de Branges space, commutative systems of operators.
Received: 17.03.2013
Revised: 26.05.2014
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Document Type: Article
MSC: 47B32
Language: English
Citation: V. N. Syrovatskyi, “Functional Models in De Branges Spaces of One Class Commutative Operators”, Zh. Mat. Fiz. Anal. Geom., 10:4 (2014), 430–450
Citation in format AMSBIB
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\paper Functional Models in De Branges Spaces of One Class Commutative Operators
\jour Zh. Mat. Fiz. Anal. Geom.
\yr 2014
\vol 10
\issue 4
\pages 430--450
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