Best approximation in polyhedral Banach spaces

DOI10.1016/j.jat.2011.06.011zbMath1229.41027OpenAlexW2076209880MaRDI QIDQ643349

Libor Veselý, Joram Lindenstrauss, Vladimir P. Fonf

Publication date: 28 October 2011

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

Full work available at URL: https://doi.org/10.1016/j.jat.2011.06.011

zbMATH Keywords

metric projectionpolyhedral Banach spaceproximininal subspace

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50)

Related Items (7)

On proximinality of convex sets in superspaces ⋮ Connectedness and other geometric properties of suns and Chebyshev sets ⋮ Extreme points in polyhedral Banach spaces ⋮ Proximinality and renormings: some new examples ⋮ Polyhedral direct sums of Banach spaces, and generalized centers of finite sets ⋮ Polyhedral points, QP-points and Q-points ⋮ Corrigendum to ``Best approximation in polyhedral Banach spaces

Cites Work

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• Some characterizations of convex polyhedra
• Polyhedral Banach spaces
• Some results on infinite-dimensional convexity
• Polyhedral norms in an infinite dimensional space
• Proximinality in subspaces of \(c_0\)
• Metric projections and polyhedral spaces
• Notes on Klee's paper 'Polyhedral sections of convex bodies'
• Polyhedral sections of convex bodies
• Suns, moons, and quasi-polyhedra
• Cebysev subspaces of finite codimension in \(C(X)\)
• Strongly proximinal subspaces of finite codimension in C(K)
• Metric projections of closed subspaces of c₀onto subspaces of finite codimension
• Infinite-Dimensional Polyhedrality
• Strong proximinality and polyhedral spaces

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