Orthogonal systems related to infinite Hankel matrices

DOI10.1016/0022-1236(92)90016-CzbMath0785.47011OpenAlexW1999573706MaRDI QIDQ1207131

Israel Gohberg, Robert L. Ellis

Publication date: 2 May 1993

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

Full work available at URL: https://doi.org/10.1016/0022-1236(92)90016-c

zbMATH Keywords

inverse problemsSzegö polynomialsinfinite matricesvector valued functionsfinite Toeplitz matricesmatrix weight function

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)

Related Items (9)

Infinite analogues of block Toeplitz matrices and related orthogonal functions ⋮ The discrete twofold Ellis-Gohberg inverse problem ⋮ On a class of block Toeplitz matrices ⋮ The Ellis-Gohberg inverse problem for matrix-valued Wiener functions on the line ⋮ The Twofold Ellis-Gohberg Inverse Problem for Rational Matrix Functions on the Real Line ⋮ The inverse problem for Ellis-Gohberg orthogonal matrix functions ⋮ Prediction for two processes and the Nehari problem ⋮ Ellis-Gohberg identities for certain orthogonal functions. I: Block matrix generalizations and \({\ell}^2\)-setting ⋮ Inversion formulas for infinite generalized Toeplitz matrices

Cites Work

• On two theorems of M. G. Krein concerning polynomials orthogonal on the unit circle
• The band method for positive and strictly contractive extension problems: An alternative version and new applications
• Invertible Selfadjoint Extensions of Band Matrices and Their Entropy
• Infinite Hankel block matrices and related extension problems
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