An \(L^{p}\) analog to AAK theory for \(p\geq 2\)

DOI10.1006/jfan.2001.3860zbMath1050.47021OpenAlexW2011779177MaRDI QIDQ1614770

Laurent Baratchart, Fabien Seyfert

Publication date: 8 September 2002

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

Full work available at URL: https://doi.org/10.1006/jfan.2001.3860

zbMATH Keywords

Hardy spacessingular numbersbest approximationmeromorphic approximationHankel operatorsAdamyan-Arov-Krein theorem

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Spaces of bounded analytic functions of one complex variable (30H05) Approximation by rational functions (41A20) Research exposition (monographs, survey articles) pertaining to operator theory (47-02) Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items (11)

Minimax principle and lower bounds in \(H^2\)-rational approximation ⋮ Sparse approximation of functions using sums of exponentials and AAK theory ⋮ On backward shift algorithm for estimating poles of systems ⋮ Weighted extremal domains and best rational approximation ⋮ Bounded extremal problems in Hardy spaces for the conjugate Beltrami equation in simply-connected domains ⋮ On uniform approximation of rational perturbations of Cauchy integrals ⋮ Hardy spaces of the conjugate Beltrami equation ⋮ Multipoint Padé approximants to complex Cauchy transforms with polar singularities ⋮ Analytic approximation of matrix functions in \(L^p\) ⋮ Homogenization of Poisson's kernel and applications to boundary control ⋮ Zero distributions via orthogonality.

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