Characterisations of Chebyshev sets in \(c_{0}\)

DOI10.1016/j.jat.2004.04.013zbMath1065.41056OpenAlexW2014818579MaRDI QIDQ1885447

Alexey R. Alimov

Publication date: 28 October 2004

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2004.04.013

zbMATH Keywords

Chebyshev sets

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 (2)

Connectedness and other geometric properties of suns and Chebyshev sets ⋮ Bounded strict solar property of strict suns in the space \(C(Q)\)

Cites Work

• Die Metrische Struktur der Sonnen in \(l_{\infty}(n)\)
• Suns in normed linear spaces which are finite dimensional
• A geometric characterization of strict suns in the space \(l^\infty(n)\)
• Chebychev sets which are not suns
• Geometrical characterizations for nonlinear uniform approximation
• Characterizability and uniqueness in real Chebyshev approximation
• Suns, moons, and quasi-polyhedra
• APPROXIMATIVE PROPERTIES OF SETS IN NORMED LINEAR SPACES
• Continuity of Metric Projections
• Convex Analysis
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