Factorization of reciprocal Hilbert port operators

DOI10.1016/0022-247X(86)90091-0zbMath0626.47017MaRDI QIDQ580681

Graciela Gnavi

Publication date: 1986

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

factor decompositionFactorization of J-biexpansive operator-valued functions on an infinite-dimensional Hilbert spacepassive Hilbert portreciprocal polessynthesis of reciprocal passive linear systems

Mathematics Subject Classification ID

Circuits, networks (94C99) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68) General systems (93A10)

Cites Work

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• Factorization of Hilbert port operators with poles on the imaginary axis
• Factorization of J-expansive meromorphic operator-valued functions
• Realizability theory for continuous linear systems
• On the factorization of scattering matrices, chain matrices and transfer matrices

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