The geometric structure of Chebyshev sets in \(\ell^\infty(n)\)

DOI10.1007/s10688-005-0012-xzbMath1087.41027OpenAlexW2320532420MaRDI QIDQ2571488

Alexey R. Alimov

Publication date: 11 November 2005

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10688-005-0012-x

zbMATH Keywords

best approximationChebyshev setsunstrict sun

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50)

Related Items (7)

Solvability of matrix Riccati equations ⋮ Connectedness and other geometric properties of suns and Chebyshev sets ⋮ Characterization of sets with continuous metric projection in the space \(\ell^\infty_n\) ⋮ Plane sets that are Chebyshev in some norm ⋮ Geometric structure of Chebyshev sets and suns in three-dimensional spaces with a cylindrical norm ⋮ Integral models of unitary representations of current groups with values in semidirect products ⋮ Local solarity of suns in normed linear spaces

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 \(l^\infty(n)\)
• Geometrical characterizations for nonlinear uniform approximation
• Characterizability and uniqueness in real Chebyshev approximation
• APPROXIMATIVE PROPERTIES OF SETS IN NORMED LINEAR SPACES
• Convex Analysis
• To the problem of passage to the limit in divergent nonuniformly elliptic equations
• Unnamed Item

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