Unique continuous selections for metric projections of \(C(X)\) onto finite-dimensional vector subspaces. II

DOI10.1016/0021-9045(91)90029-AzbMath0754.41035OpenAlexW4206710909MaRDI QIDQ1178497

Joerg Blatter, Thomas Fischer

Publication date: 26 June 1992

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(91)90029-a

zbMATH Keywords

Chebyshev subspaceRemez algorithmMairhuber's theoremHaar's theoremVallée Poussin estimates

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Related Items

The almost chebyshev property in linear semi-infinite programming

Cites Work

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• Unique continuous selections for metric projections of C(X) onto finite- dimensional vector subspaces
• Existence of pointwise-Lipschitz-continuous selections of the metric projection for a class of Z-spaces
• Finite dimensional subspaces and alternation
• Continuous selections for metric projections
• Weakly interpolating subspaces
• Almost Čebyšev systems of continuous functions
• On the approximation of real functions in the sense of P. L. Čebyšev