$J_{\lowercase {p},\lowercase {m}}$-inner dilations of matrix-valued functions that belong to the Carathéodory class and admit pseudocontinuation

DOI10.1090/S1061-0022-08-01002-9zbMath1210.47038OpenAlexW1508591983MaRDI QIDQ3053925

Damir Z. Arov, Natalia Rozhenko

Publication date: 5 November 2010

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s1061-0022-08-01002-9

zbMATH Keywords

dilationspseudocontinuationholomorphic matrix-valued functions

Mathematics Subject Classification ID

Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56)

Cites Work

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• On a condition for minimality of Markovian splitting subspaces
• On the structure of state-space models for discrete-time stochastic vector processes
• Realization Theory for Multivariate Stationary Gaussian Processes
• On the Theory of Matrix Valued Functions Belonging to the Smirnov Class
• Tests for the similarity of all minimal passive realizations of a fixed transfer function (scattering or resistance matrix)
• On cyclic vectors of the backward shift

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