Badly approximable matrix functions and cononical factorizations

DOI10.1512/IUMJ.2000.49.1912zbMath0996.47017arXivmath/0101225OpenAlexW2963798983WikidataQ114053258 ScholiaQ114053258MaRDI QIDQ2733851

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Publication date: 12 August 2001

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0101225

zbMATH Keywords

invarianceHankel operatorToeplitz operatorapproximation of matrix functionsbadly approximable matrix functionsbounded analytic matrix functionspartial canonical factorizationssuboptimal approximation

Mathematics Subject Classification ID

Factorization of matrices (15A23) 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) Approximation in the complex plane (30E10) Linear operator methods in interpolation, moment and extension problems (47A57) Linear operator approximation theory (47A58)

Related Items (3)

An index formula in connection with meromorphic approximation ⋮ Approximation by analytic operator functions. Factorizations and very badly approximable functions ⋮ Analytic approximation of matrix functions in \(L^p\)

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