Die Metrische Struktur der Sonnen in \(l_{\infty}(n)\)

DOI10.1007/BF02192677zbMath0544.41025MaRDI QIDQ796773

L. Hetzelt, Hubert Berens

Publication date: 1984

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/137030

zbMATH Keywords

metric structuresun

Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) Best approximation, Chebyshev systems (41A50) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Related Items (11)

Suns in normed linear spaces which are finite dimensional ⋮ Characterisations of Chebyshev sets in \(c_{0}\) ⋮ Connectedness and other geometric properties of suns and Chebyshev sets ⋮ Solarity and connectedness of sets in the space and in finite-dimensional polyhedral spaces ⋮ Monotone path-connectedness of \(R\)-weakly convex sets in the space \(C(Q)\) ⋮ A monotone path connected Chebyshev set is a sun ⋮ Properties of suns in the spaces \(L^1\) and \(C(Q)\) ⋮ Properties of monotone connected sets ⋮ Unnamed Item ⋮ Properties of monotone path-connected sets ⋮ The geometric structure of Chebyshev sets in \(\ell^\infty(n)\)

Cites Work

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• Über die beste Approximation im \({\mathbb{R}}^ n\)
• Fixpunktmengen von Kontraktionen in endlichdimensionalen normierten Räumen
• Geometrical characterizations for nonlinear uniform approximation
• Suns, moons, and quasi-polyhedra
• Le correspondant topologique de l'unicité dans la théorie des équations différentielles
• APPROXIMATIVE PROPERTIES OF SETS IN NORMED LINEAR SPACES

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