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Matematicheskie Zametki, 2011, Volume 90, Issue 6, Pages 821–832
DOI: https://doi.org/10.4213/mzm8537 (Mi mzm8537) 		 
On the Relation between the Darlington Realizations of Matrix Functions from the Carathéodory Class and Their $J_{p,r}$-Inner SI-Dilations

D. Z. Arova, N. A. Rozhenkob

a South Ukrainian State K. D. Ushynsky Pedagogical University
b I. I. Mechnikov Odessa National University
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DOI: https://doi.org/10.4213/mzm8537
Abstract: The paper is devoted to establishing a two-sided relation between the Darlington realizations of matrix functions from the Carathéodory class $\mathscr C^{p\times p}\Pi$ and their $J_{p,r}$-inner SI-dilations.
Keywords: Darlington realization of matrix functions, Carathéodory class of functions, SI (scattering-impedance)-dilation, meromorphic function, Smirnov class of functions.
Received: 11.07.2009
Revised: 05.04.2010
English version:
Mathematical Notes, 2011, Volume 90, Issue 6, Pages 801–812
DOI: https://doi.org/10.1134/S0001434611110204
Bibliographic databases:
Document Type: Article
UDC: 517
Language: Russian
Citation: D. Z. Arov, N. A. Rozhenko, “On the Relation between the Darlington Realizations of Matrix Functions from the Carathéodory Class and Their $J_{p,r}$-Inner SI-Dilations”, Mat. Zametki, 90:6 (2011), 821–832; Math. Notes, 90:6 (2011), 801–812
Citation in format AMSBIB
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\issue 6
\pages 821--832
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