Strongly antiproximinal sets in Banach spaces

DOI10.1007/BF01156833zbMath0703.46011OpenAlexW2088511488MaRDI QIDQ916052

Vladimir P. Fonf

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1007/bf01156833

zbMATH Keywords

equivalent normantiproximinal setstrongly antiproximinal body

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)

Cites Work

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• Antiproximinal sets in spaces of continuous functions on compacta
• Applications of the theory of semi-embeddings to Banach space theory
• Massiveness of the set of extreme points of the unit ball in some dual banach spaces
• A normability condition for Frechet spaces
• Some results on nearest points and support properties of convex sets in \(c_ 0\)
• Some topological properties of support points of convex sets

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