Defect functions of holomorphic contractive operator functions and the scattering suboperator through the internal channels of a system. II

DOI10.1007/s11785-013-0330-6zbMath1288.47014OpenAlexW4234511651MaRDI QIDQ2015014

S. S. Boiko, A. Ya. Kheĭfets, Vladimir K. Dubovoy

Publication date: 18 June 2014

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-013-0330-6

zbMATH Keywords

contractioncharacteristic operator functionunitary couplingoperator-valued Schur functionscattering suboperatorscattering systemunitary colligation

Mathematics Subject Classification ID

Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Dilations, extensions, compressions of linear operators (47A20) Scattering theory of linear operators (47A40) Operator colligations (= nodes), vessels, linear systems, characteristic functions, realizations, etc. (47A48)

Related Items (2)

Regular Extensions and Defect Functions of Contractive Measurable Operator-Valued Functions ⋮ Minimal passive realizations of generalized Schur functions in Pontryagin spaces

Cites Work

• Defect functions of holomorphic contractive operator functions and the scattering suboperator through the internal channels of a system. I
• Integral representation of dominated operations on spaces of continuous vector fields
• Criterion of unitary similarity of minimal passive scattering systems with a given transfer function
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