Farthest points in W*-compact sets

DOI10.1017/S0004972700027817zbMath0656.46012MaRDI QIDQ3803637

Václav Zizler, Robert Deville

Publication date: 1988

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Banach space with the Radon-Nikodym property\(w^*\)-compact convex subset

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Radon-Nikodým, Kre?n-Milman and related properties (46B22)

Related Items (15)

The NSLUC property and Klee envelope ⋮ The smallest enclosing ball problem and the smallest intersecting ball problem: existence and uniqueness of solutions ⋮ Best proximity and remotest points results for weakly strongly lowear mapping and weakly strongly upper mapping ⋮ Porosity results for two-set nearest and farthest point problems ⋮ On simultaneous farthest points in \(L^{\infty}(I, X)\) ⋮ Generic existence of solutions for some perturbed optimization problems ⋮ Densely ball remotal subspaces of \(C(K)\) ⋮ Some remarks on farthest points ⋮ On remotality for convex sets in Banach spaces ⋮ Ball remotality in Banach spaces ⋮ Remotest points and approximate remotest points in metric spaces ⋮ Compact convex sets that admit a lower semicontinuous strictly convex function ⋮ Remotal Sets in Orlicz Spaces ⋮ Moduli of non-dentability and the Radon-Nikodým property in Banach spaces ⋮ Solarity of sets in max-approximation problems

Cites Work

• Farthest points in weakly compact sets
• The dual of a space with the Radon-Nikodym property
• Farthest points in reflexive locally uniformly rotund Banach spaces
• Farthest points of sets in uniformly convex Banach spaces
• Fréchet differentiability of convex functions
• On Some Extremal Problems in Banach Spaces.

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