The maximum principle for the three chains completion problem

DOI10.1007/BF01195877zbMath0901.47008MaRDI QIDQ1378133

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

Publication date: 4 March 1998

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

zbMATH Keywords

commutant lifting theoremParrott completion problemtime-variant version of the maximum principle

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 (1)

A harmonic-type maximal principle in the three chains completion problem

Cites Work

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• Unitary interpolants, factorization indices and infinite Hankel Block matrices
• A maximum entropy principle in the general framework of the band method
• The commutant lifting approach to interpolation problems
• Central intertwining lifting, maximum entropy and their permanence
• A time-variant version of the commutant lifting theorem and nonstationary interpolation problems
• Parametrization of all solutions of the three chains completion problem
• Extensions of kernels of Fredholm operators
• Discrete time-variant interpolation as classical interpolation with an operator argument

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