A Banach space in which all compact sets, but not all bounded sets, admit Chebyshev centers

DOI10.1007/BF02638387zbMath1017.41025OpenAlexW2134450424MaRDI QIDQ1865735

Libor Veselý

Publication date: 27 March 2003

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02638387

zbMATH Keywords

Banach spacesChebyshev centers

Mathematics Subject Classification ID

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Banach sequence spaces (46B45)

Related Items (5)

Two new examples of sets without medians and centers ⋮ Chebyshev Centers in Hyperplanes of c 0 ⋮ Simultaneously proximinal subspaces ⋮ Averaging the \(k\) largest distances among \(n\): \(k\)-centra in Banach spaces ⋮ Chebyshev centres, Jung constants, and their applications

Cites Work

• Unnamed Item
• Chebyshev centers in normed spaces
• Geometry of Banach spaces. Selected topics
• Chebyshev centers and uniform convexity
• A course on optimization and best approximation
• Existence of Chebyshev Centers, Best n-Nets and Best Compact Approximants
• On the moduli of convexity and smoothness

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