On convex closed bounded bodies without farthest points such that the closure of their complement is antiproximinal

DOI10.1134/S0081543812050069zbMath1302.46011OpenAlexW2070691282MaRDI QIDQ742272

V. S. Balaganskij

Publication date: 18 September 2014

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543812050069

zbMATH Keywords

farthest pointsantiproximinal set

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Related Items (1)

The \(n\)-antiproximinal sets

Cites Work

• Unnamed Item
• Weakly proximinal sets
• Antiproximinal sets in spaces of continuous functions
• On approximation properties of sets with convex complement
• An example of a bounded approximatively compact set which is not locally compact

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