Antiproximal sets

DOI10.1016/0021-9045(87)90102-XzbMath0618.41028MaRDI QIDQ1822291

Michael Edelstein

Publication date: 1987

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

zbMATH Keywords

equivalent renormingproximinal setsantiproximal

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Geometry and structure of normed linear spaces (46B20) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Related Items (3)

Example of an antiproximinal, but not a 2-antiproximinal convex closed bounded body. ⋮ Antiproximinal convex bounded sets in the space \(c_{0}(\gamma )\) equipped with the Day norm ⋮ Antiproximinal norms in Banach spaces

Cites Work

• Some results on nearest points and support properties of convex sets in \(c_ 0\)
• Local Uniform Convexity of Day's Norm on c 0 (Γ)

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