Discrete time-variant interpolation as classical interpolation with an operator argument

DOI10.1007/BF01191244zbMath0861.47011OpenAlexW4247987885MaRDI QIDQ2564748

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

Publication date: 22 May 1997

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

Full work available at URL: https://doi.org/10.1007/bf01191244

zbMATH Keywords

commutant lifting theoremdiscrete time-variant interpolation problems of Nevanlinna-Pick and Nudelman typeoperator-valued functions with operator arguments

Mathematics Subject Classification ID

Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) 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 (8)

A time-variant version of the commutant lifting theorem and nonstationary interpolation problems ⋮ The maximum principle for the three chains completion problem ⋮ Parametrization of all solutions of the three chains completion problem ⋮ Multivariable Nehari problem and interpolation. ⋮ Optimal time-variant systems and factorization of operators. I: Minimal and optimal systems ⋮ On two-sided interpolation for upper triangular Hilbert-Schmidt operators ⋮ The band method and generalized Carathéodory-Toeplitz interpolation at operator points ⋮ Meromorphic interpolation in several variables

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The commutant lifting approach to interpolation problems
• Classes of linear operators. Vol. II
• Bitangential interpolation for input-output maps of time-varying systems: The continuous time case
• Metric constrained interpolation, commutant lifting and systems
• Two-sided Nudelman interpolation for input-output operators of discrete time-varying systems

This page was built for publication: Discrete time-variant interpolation as classical interpolation with an operator argument