Preservation of approximative properties of subsets of Chebyshev sets and suns in $ \ell^\infty (n)$

DOI10.1070/IM2006v070n05ABEH002330zbMath1157.41003OpenAlexW1552759061MaRDI QIDQ5438403

Alexey R. Alimov

Publication date: 23 January 2008

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/im2006v070n05abeh002330

zbMATH Keywords

unique best approximationssequent spaces

Mathematics Subject Classification ID

Axiomatic and generalized convexity (52A01) Best approximation, Chebyshev systems (41A50) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Related Items (6)

Connectedness and other geometric properties of suns and Chebyshev sets ⋮ Bounded strict solar property of strict suns in the space \(C(Q)\) ⋮ Geometric structure of Chebyshev sets and suns in three-dimensional spaces with a cylindrical norm ⋮ Preservation of approximative properties of Chebyshev sets and suns in a plane ⋮ Local solarity of suns in normed linear spaces ⋮ Monotone path-connectedness of Chebyshev sets in three-dimensional spaces

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