Factorization and approximation problems for matrix functions

DOI10.1090/S0894-0347-98-00274-4zbMath0903.47016OpenAlexW1529271360MaRDI QIDQ4211060

Vladimir V. Peller

Publication date: 10 September 1998

Published in: Journal of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0894-0347-98-00274-4

zbMATH Keywords

Wiener-Hopf factorizationsHankel operators with matrix-valued symbolsmaximizing vectorsrecovery problem for unitary-valued functionssuperoptimal approximation by analytic matrix functions

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68) Linear operator approximation theory (47A58)

Related Items (2)

Multivariate prediction and matrix Szegő theory ⋮ Unitary interpolants and factorization indices of matrix functions.

Cites Work

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• Hankel integral operators and isometric interpolants on the line
• Localization of singular integral operators
• Superoptimal analytic approximations of matrix functions
• Boundedness properties of the operators of best approximation by analytic and meromorphic functions
• On superoptimal approximation by analytic and meromorphic matrix-valued functions
• Construction of superoptimal approximants
• Best uniform approximation by analytic functions
• On Best Uniform Approximation by Bounded Analytic Functions
• Continuity properties of best analytic approximation.
• Symmetrizable linear transformations

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