Superoptimal analytic approximations of matrix functions

DOI10.1006/jfan.1994.1034zbMath0808.47011OpenAlexW1969444870MaRDI QIDQ1328275

N. J. Young, Vladimir V. Peller

Publication date: 15 March 1995

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

Full work available at URL: https://doi.org/10.1006/jfan.1994.1034

zbMATH Keywords

approximation of a bounded matrix function

Mathematics Subject Classification ID

Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Linear operator methods in interpolation, moment and extension problems (47A57)

Related Items (19)

An \(L^{p}\) analog to AAK theory for \(p\geq 2\) ⋮ Superoptimal completions of triangular matrices ⋮ On the Schmidt pairs of multivariable Hankel operators and robust control ⋮ On the sum of superoptimal singular values ⋮ Construction of superoptimal approximants ⋮ Approximation by analytic matrix functions: The four block problem ⋮ An index formula in connection with meromorphic approximation ⋮ Superoptimal approximation by meromorphic functions ⋮ Approximation by analytic operator functions. Factorizations and very badly approximable functions ⋮ Extremal classical interpolation problems (matrix case) ⋮ Unitary interpolants and factorization indices of matrix functions. ⋮ Invariance properties of thematic factorizations of matrix functions ⋮ Monotone thematic factorizations of matrix functions ⋮ Analytic approximation of matrix functions and dual extremal functions ⋮ Stability of spikes in the shadow Gierer-Meinhardt system with Robin boundary conditions ⋮ Analytic approximation of matrix functions in \(L^p\) ⋮ Identical pseudospectra of any geometric multiplicity ⋮ Factorization and approximation problems for matrix functions ⋮ Extremal problems of interpolation theory

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