A Characterization of Badly Approximable Functions

DOI10.2307/1996241zbMath0257.30036OpenAlexW4255308154MaRDI QIDQ5673162

S. J. Poreda

Publication date: 1972

Full work available at URL: https://doi.org/10.2307/1996241

Mathematics Subject Classification ID

Approximation in the complex plane (30E10)

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Superoptimal singular values and indices of matrix functions ⋮ Weights determine stability of sensitivity-optimal controllers ⋮ Best Uniform Approximation by Meromorphic Functions with Free Poles ⋮ Finite Blaschke products of contractions ⋮ Near-circularity of the error curve in complex Chebyshev approximation ⋮ The CF table ⋮ Nonlinear Riemann-Hilbert problems with circular target curves ⋮ Approximation by analytic operator functions. Factorizations and very badly approximable functions ⋮ Characterizing optimal solutions to weighted mixed sensitivity problems ⋮ Simple mixed sensitivity optimal controllers ⋮ Carathéodory sets and analytic balayage of measures ⋮ Badly approximable functions and interpolation by Blaschke products ⋮ Unitary interpolants and factorization indices of matrix functions. ⋮ Invariance properties of thematic factorizations of matrix functions ⋮ Monotone thematic factorizations of matrix functions ⋮ Groups of analytic kernels ⋮ On badly approximable functions ⋮ On badly approximable functions and uniform algebras ⋮ Boundedness properties of the operators of best approximation by analytic and meromorphic functions ⋮ Uncertainty in the weighted gap metric: A geometric approach ⋮ Counterexamples in Best Approximation

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