Continuity properties of Chebyshev centers

DOI10.1016/0021-9045(80)90127-6zbMath0467.41015OpenAlexW2037865218MaRDI QIDQ1155807

Jaroslav Mach

Publication date: 1980

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(80)90127-6

zbMATH Keywords

proximinal subspaceLinderstrauss spaceslocally uniformally convex spacesStone- Weierstrass subspace

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Related Items (15)

A framework for best simultaneous approximation: normed almost linear spaces ⋮ Continuity properties of sequentially asymptotically center-complete spaces ⋮ Well-set and well-posed minimization problems ⋮ Strong ball proximinality and continuity of metric projection in \(L_1\)-predual spaces ⋮ On stability of approximate solutions of minimization problems ⋮ Centers and Nearest Points of Sets ⋮ A selection of convex-compact-valued multi-functions with remarkable properties: the steiner selection ⋮ Optimal design of sensors via geometric criteria ⋮ Topologies related to the prox map and the restricted center map ⋮ On restricted centers of sets ⋮ On existence subspaces in \(C(Q)\) ⋮ Chebyshev centers and some geometric properties of Banach spaces ⋮ Unnamed Item ⋮ Chebyshev centres, Jung constants, and their applications ⋮ On convergence of convex sets and relative Chebyshev centers

Cites Work

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• Grothendieck spaces in approximation theory
• Chebyshev centers in spaces of continuous functions

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