Limits of starshaped sets

DOI10.1007/BF01195358zbMath0603.46014MaRDI QIDQ1082573

Victor Klee, Gerald A. Beer

Publication date: 1987

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

completenessreflexivityKuratowski convergenceconvergence with respect to the Hausdorff metricequality between certain collections of limits of starshaped sets

Mathematics Subject Classification ID

Convex sets in topological linear spaces; Choquet theory (46A55) Duality and reflexivity in normed linear and Banach spaces (46B10)

Related Items

Ambiguous loci of the metric projection onto compact starshaped sets in a Banach space, Weak convergence of convex sets in Banach spaces, Approximation of the limit distance function in Banach spaces, Starshaped sets, Starshaped sets and best approximation, Bounded sets and finite visibility, Anisotropic best τ_C -approximation in normed spaces, Nested sequences of stars and starshaped sets

Cites Work

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• Reflexivity and the supremum of linear functionals
• Convex Bodies and Periodic Homeomorphisms in Hilbert Space