scientific article; zbMATH DE number 1332094

zbMath0922.41019MaRDI QIDQ4261758

Libor Veselý

Publication date: 13 September 1999

Full work available at URL: https://eudml.org/doc/119956

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zbMATH Keywords

strongly exposed pointsmediansvector-valued function spacesoptimal locationssums of Banach spacesChebychev centersKadets property

Mathematics Subject Classification ID

Continuous location (90B85) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Geometry and structure of normed linear spaces (46B20) Classical Banach spaces in the general theory (46B25) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Banach spaces of continuous, differentiable or analytic functions (46E15) Simultaneous approximation (41A28)

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Two new examples of sets without medians and centers ⋮ Chebyshev Centers in Hyperplanes of c 0 ⋮ The Steiner mapping for three points in Euclidean plane ⋮ Existence of Lipschitz selections of the Steiner map ⋮ Best \(N\)-simultaneous approximation in \(L_p(\mu, X)\) ⋮ Quasi uniform convexity -- revisited ⋮ Best simultaneous approximation in \(L_{1}(\mu ,X)\) ⋮ Polyhedral direct sums of Banach spaces, and generalized centers of finite sets ⋮ Best approximation in polyhedral Banach spaces ⋮ Banach spaces with shortest network length depending only on pairwise distances between points ⋮ Intersection properties of balls in Banach spaces ⋮ Averaging the \(k\) largest distances among \(n\): \(k\)-centra in Banach spaces ⋮ Central subspaces of Banach spaces ⋮ Facility location in normed linear spaces ⋮ On nonlinear simultaneous approximation problems ⋮ Chebyshev centres, Jung constants, and their applications

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