Bounded Chebyshev sets in finite-dimensional Banach spaces

DOI10.1007/BF01139554zbMath0602.41033OpenAlexW2006046359MaRDI QIDQ1081775

I. G. Tsar'kov

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1007/bf01139554

zbMATH Keywords

finite dimensional Banach spacebounded Chebyshev sets

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Related Items (6)

Suns, moons, and \(\mathring{B}\)-complete sets in asymmetric spaces ⋮ Continuity of the metric projection and local solar properties of sets. Continuity of the metric projection and local solar properties of sets, continuity of the metric projection and solar properties ⋮ Three-dimensional spaces where all bounded Chebyshev sets are monotone path connected ⋮ Bounded contractibility of strict suns in three-dimensional spaces ⋮ Local solarity of suns in normed linear spaces ⋮ Some stability results for Banach spaces with the Mazur intersection property

Cites Work

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• Über exponierte Punkte abgeschlossener Punktmengen
• Convex Sets and Chebyshev Sets II.
• Convex Bodies and Periodic Homeomorphisms in Hilbert Space

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