Commutant lifting theorem and interpolation in discrete nest algebras

DOI10.1007/BF01191431zbMath0898.47010MaRDI QIDQ1378062

Boris Freydin

Publication date: 19 May 1998

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

zbMATH Keywords

nest algebrasinterpolation problemscommutant lifting theoremgeneralized Schur-Nevanlinna-Pick problemupper triangular operators

Mathematics Subject Classification ID

Abstract operator algebras on Hilbert spaces (47L30) Commutators, derivations, elementary operators, etc. (47B47) Linear operator methods in interpolation, moment and extension problems (47A57) Dilations, extensions, compressions of linear operators (47A20)

Cites Work

• The generalized bitangential Schur-Nevanlinna-Pick problem and the related Parseval equality
• The commutant lifting approach to interpolation problems
• Two-sided Nudelman interpolation for input-output operators of discrete time-varying systems
• Commutant lifting and interpolation: The time-varying case
• A commutant lifting theorem for triangular matrices with diverse applications
• Invariant subspaces and unstarred operator algebras
• Modeling computational networks by time-varying systems
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