Regular Extensions and Defect Functions of Contractive Measurable Operator-Valued Functions

DOI10.1007/978-3-030-44819-6_8OpenAlexW3166429308MaRDI QIDQ5150771

S. S. Boiko, Vladimir K. Dubovoy

Publication date: 15 February 2021

Published in: Complex Function Theory, Operator Theory, Schur Analysis and Systems Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-44819-6_8

zbMATH Keywords

contractionopen systemunitary couplingregular extensionscattering suboperatordefect functioninternal channelexternal channel

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)

Cites Work

• Defect functions of holomorphic contractive operator functions and the scattering suboperator through the internal channels of a system. I
• Defect functions of holomorphic contractive operator functions and the scattering suboperator through the internal channels of a system. II
• Criterion of unitary similarity of minimal passive scattering systems with a given transfer function
• Shift operators contained in contractions and pseudocontinuable matrixvalued Schur functions
• UNITARY OPERATOR COLLIGATIONS AND THEIR CHARACTERISTIC FUNCTIONS
• Contraction operators, defect functions, and scattering theory
• DARLINGTON REALIZATION OF MATRIX-VALUED FUNCTIONS
• Defect Functions of Holomorphic Contractive Matrix Functions, Regular Extensions and Open Systems
• Tests for the similarity of all minimal passive realizations of a fixed transfer function (scattering or resistance matrix)
• Unitary couplings, scattering suboperators and regular factorizations of bounded operator‐valued functions III
• Unitary couplings, scattering suboperators and regular factorizations of bounded operator valued functions II
• Indefinite metric in Schur's interpolation problem for analytic functions. VI
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