Characteristic function and a model of a linear operator pencil

DOI10.1007/BF01097576zbMath0714.47012OpenAlexW1978924293MaRDI QIDQ750850

Anatoliy Rutkas

Publication date: 1990

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01097576

zbMATH Keywords

factorizationscompleteness of the system of root vectorsexistence of invariant subspacescharacteristic function of a linear pencilJ- dissipative operatorsJ-positive definiteL(H)-valued kernelsoperator valued analytic functionSchwarz-Pick kernels

Mathematics Subject Classification ID

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) Canonical models for contractions and nonselfadjoint linear operators (47A45) Linear accretive operators, dissipative operators, etc. (47B44) Linear operators on spaces with an indefinite metric (47B50)

Cites Work

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• Passive linear stationary dynamic systems
• Models for noncontractions