Finite dimensional subspaces and alternation

DOI10.1016/0021-9045(82)90087-9zbMath0487.41044OpenAlexW2023614365MaRDI QIDQ1165417

Manfred Sommer

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1016/0021-9045(82)90087-9

zbMATH Keywords

best uniform approximationalternation element

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Approximation by other special function classes (41A30)

Related Items (2)

Existence of pointwise-Lipschitz-continuous selections of the metric projection for a class of Z-spaces ⋮ Unique continuous selections for metric projections of \(C(X)\) onto finite-dimensional vector subspaces. II

Cites Work

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• Continuous selections for the metric projection and alternation
• Weak Chebyshev subspaces and alternation
• Existence of pointwise-Lipschitz-continuous selections of the metric projection for a class of Z-spaces
• Eigenschaften von schwach tschebyscheffschen Räumen
• Equioscillation under nonuniqueness in the approximation of continuous functions
• Weak Chebyshev Subspaces and Continuous Selections for the Metric Projection

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