scientific article; zbMATH DE number 566057

zbMath0803.46014MaRDI QIDQ4291420

Marco Baronti, Pier Luigi Papini, Emanuele Casini

Publication date: 2 January 1995

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zbMATH Keywords

barycenters of equilateral sets are not centers nor mediansequilateral sets in normed spaces

Mathematics Subject Classification ID

Continuous location (90B85) Normed linear spaces and Banach spaces; Banach lattices (46B99) Inequalities and extremum problems involving convexity in convex geometry (52A40) Convex sets in topological linear spaces; Choquet theory (46A55) Inequalities and extremum problems in real or complex geometry (51M16)

Related Items (12)

Two new examples of sets without medians and centers ⋮ Existence of Lipschitz selections of the Steiner map ⋮ Location problem and inner product spaces ⋮ Classification of metric spaces whose Steiner-Gromov ratio is equal to one ⋮ Banach spaces with shortest network length depending only on pairwise distances between points ⋮ Averaging the \(k\) largest distances among \(n\): \(k\)-centra in Banach spaces ⋮ Complete sets, radii, and inner radii ⋮ The geometry of Minkowski spaces -- a survey. I ⋮ Chebyshev centres, Jung constants, and their applications ⋮ A continuity criterion for Steiner-type ratios in the Gromov-Hausdorff space ⋮ Location of the Fermat-Torricelli medians of three points ⋮ Estimates of Steiner subratio and Steiner-Gromov ratio

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