Antiproximinal sets in spaces of continuous functions

DOI10.1007/BF02309162zbMath0897.46012MaRDI QIDQ1387385

V. S. Balaganskij

Publication date: 19 October 1998

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

zbMATH Keywords

locally compact Hausdorff spaceinfinite-dimensional spacesBanach spaces with the Radon-Nikodým propertyclosed convex bounded antiproximinal bodies

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Banach spaces of continuous, differentiable or analytic functions (46E15) Radon-Nikodým, Kre?n-Milman and related properties (46B22)

Related Items (4)

Antiproximinal sets in Banach spaces of continuous vector-valued functions ⋮ On convex closed bounded bodies without farthest points such that the closure of their complement is antiproximinal ⋮ Antiproximinal norms in Banach spaces ⋮ The \(n\)-antiproximinal sets

Cites Work

• Antiproximinal sets in spaces of continuous functions on compacta
• Geometry of Banach spaces. Selected topics
• On dentability and the Bishop-Phelps property
• Some results on nearest points and support properties of convex sets in \(c_ 0\)
• Counterexamples Concerning Support Theorems for Convex Sets in Hilbert Space
• A NOTE ON NEAREST POINTS
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