Proximinality and renormings: some new examples

DOI10.1016/j.jat.2013.09.004zbMath1291.46012OpenAlexW2090249935MaRDI QIDQ390693

Gilles Godefroy, V. Indumathi

Publication date: 8 January 2014

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

Full work available at URL: https://doi.org/10.1016/j.jat.2013.09.004

zbMATH Keywords

ball proximinalityChebyshev subspaces

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Geometry and structure of normed linear spaces (46B20) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Related Items (8)

Some equivalent conditions of proximinality in nonreflexive Banach spaces ⋮ Norm-attaining functionals need not contain 2-dimensional subspaces ⋮ Ball proximinal and strongly ball proximinal hyperplanes ⋮ Proximinal faces of some Banach spaces ⋮ E-proximinal subspaces ⋮ Unnamed Item ⋮ On proximinality of subspaces and the lineability of the set of norm-attaining functionals of Banach spaces ⋮ Survey of last ten years of work done in India in some selected areas of functional analysis and operator theory

Cites Work

• Best approximation in polyhedral Banach spaces
• Strong subdifferentiability of convex functionals and proximinality
• On transitivity of proximinality
• Proximinality in subspaces of \(c_0\)
• Transitivity of proximinality and norm attaining functionals
• On the proximinality of the unit ball of proximinal subspaces in Banach spaces: A counterexample
• Strong proximinality and polyhedral spaces
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