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

DOI10.1007/S11785-009-0003-7zbMath1213.47009OpenAlexW2039238722MaRDI QIDQ537663

S. S. Boiko, Vladimir K. Dubovoy

Publication date: 20 May 2011

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

Full work available at URL: https://doi.org/10.1007/s11785-009-0003-7

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 (3)

Regular Extensions and Defect Functions of Contractive Measurable Operator-Valued Functions ⋮ Minimal passive realizations of generalized Schur functions in Pontryagin spaces ⋮ Defect functions of holomorphic contractive operator functions and the scattering suboperator through the internal channels of a system. II

Cites Work

• On the factorization of matrices
• Criterion of unitary similarity of minimal passive scattering systems with a given transfer function
• Shift operators contained in contractions and pseudocontinuable matrixvalued Schur functions
• Defect Functions of Holomorphic Contractive Matrix Functions, Regular Extensions and Open Systems
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