On bitangential interpolation in the time-varying setting for Hilbert-Schmidt operators: The continuous time case

DOI10.1006/jmaa.1998.6102zbMath0920.47014OpenAlexW1968595815MaRDI QIDQ1276347

Vladimir Bolotnikov, Daniel Alpay, Boris Freydin, Yossi (Joseph) Peretz

Publication date: 16 September 1999

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

Full work available at URL: https://doi.org/10.1006/jmaa.1998.6102

zbMATH Keywords

time-varying systemsbitangential interpolation problembounded upper triangular operatorslower triangular integral Hilbert-Schmidt operatorsmultiplication operators by bounded measurable functionsnonstationary settingtwo-sided Nudelman interpolation problem

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Linear operator methods in interpolation, moment and extension problems (47A57) Quasitriangular and nonquasitriangular, quasidiagonal and nonquasidiagonal linear operators (47A66)

Related Items (1)

A characterization of all the static stabilizing controllers for LTI systems

Cites Work

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• Interpolation of rational matrix functions
• On two-sided interpolation for upper triangular Hilbert-Schmidt operators
• Bitangential interpolation for input-output maps of time-varying systems: The continuous time case
• Two-sided interpolation for matrix functions with entries in the Hardy space
• One two-sided residue interpolation for matrix-valued \(H_ 2\)-functions with symmetries
• Time-variant displacement structure and interpolation problems

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