A time-variant version of the commutant lifting theorem and nonstationary interpolation problems

DOI10.1007/BF01191816zbMath0897.47010MaRDI QIDQ1378089

Arthur E. Frazho, Marinus A. Kaashoek, Ciprian Foias, Israel Gohberg

Publication date: 5 October 1998

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

commutant lifting theoremnonstationary norm constrained interpolation problemsthree chains completion theoremtime-variant setting

Mathematics Subject Classification ID

Linear operator methods in interpolation, moment and extension problems (47A57) Dilations, extensions, compressions of linear operators (47A20) Moment problems and interpolation problems in the complex plane (30E05)

Related Items (5)

Non-commutative Markov chains and multi-analytic operators ⋮ The maximum principle for the three chains completion problem ⋮ Parametrization of all solutions of the three chains completion problem ⋮ An extension theorem for a sequence of Krein space contractions ⋮ A harmonic-type maximal principle in the three chains completion problem

Cites Work

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• The commutant lifting approach to interpolation problems
• On a quotient norm and the Sz.-Nagy-Foias lifting theorem
• Classes of linear operators. Vol. II
• Parametrization of all solutions of the three chains completion problem
• Discrete time-variant interpolation as classical interpolation with an operator argument

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