Unitary interpolants, factorization indices and infinite Hankel Block matrices

DOI10.1016/0022-1236(83)90001-0zbMath0534.47009OpenAlexW2022782180MaRDI QIDQ790400

Harry Dym, Israel Gohberg

Publication date: 1983

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(83)90001-0

zbMATH Keywords

infinite block Hankel matrixIsometric interpolantsnonnegative factorization indicesone step extension problemstructure of the kernelsunitary matrix valued functionsWiener-like algebras

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68)

Related Items (11)

Rational contractive and unitary interpolants in realized form ⋮ All-pass matrices, the positive real lemma, and unit canonical correlations between future and past ⋮ The maximum principle for the three chains completion problem ⋮ On certain minimal entropy extensions appearing in dilation theory. I ⋮ A remark on two solutions to the rational Nehari interpolation problem ⋮ Unitary interpolants and factorization indices of matrix functions. ⋮ Spectral factorization of rectangular rational matrix functions with application to discrete Wiener-Hopf equations ⋮ Model reduction by phase matching ⋮ Hankel integral operators and isometric interpolants on the line ⋮ On unitary interpolants and Fredholm infinite block Toeplitz matrices ⋮ A maximum entropy principle for contractive interpolants

Cites Work

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• Factorization of matrix functions and singular integral operators
• Infinite Hankel matrices and generalized Caratheodory-Fejer and Riesz problems
• Absolutely convergent Fourier expansions for non-commutative normed rings
• Infinite Hankel block matrices and related extension problems
• On One-Sided Inverses in Banach Algebras of Holomorphic Vector-Valued Functions
• [Russian Text Ignored.]
• ANALYTIC PROPERTIES OF SCHMIDT PAIRS FOR A HANKEL OPERATOR AND THE GENERALIZED SCHUR-TAKAGI PROBLEM

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