Antiproximinal sets in spaces of continuous functions on compacta

DOI10.1007/BF01157060zbMath0537.46022OpenAlexW2049868682MaRDI QIDQ792584

Vladimir P. Fonf

Publication date: 1983

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01157060

zbMATH Keywords

nearest point

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Geometry and structure of normed linear spaces (46B20) Classical Banach spaces in the general theory (46B25) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items (6)

Antiproximinal convex bounded sets in the space \(c_{0}(\gamma )\) equipped with the Day norm ⋮ Antiproximinal sets in spaces of continuous functions ⋮ Strongly antiproximinal sets in Banach spaces ⋮ Antiproximinal sets in Banach spaces of continuous vector-valued functions ⋮ Antiproximinal norms in Banach spaces ⋮ The \(n\)-antiproximinal sets

Cites Work

• Some results on nearest points and support properties of convex sets in \(c_ 0\)
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