Proximinality in subspaces of \(c_0\)

DOI10.1006/jath.1999.3382zbMath0944.46007OpenAlexW2460228736MaRDI QIDQ1963959

V. Indumathi, Gilles Godefroy

Publication date: 14 September 2000

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

Full work available at URL: https://doi.org/10.1006/jath.1999.3382

zbMATH Keywords

best approximationproximinal subspacessubdifferentiability for norm attaining functionals

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 (9)

Norm-attaining functionals need not contain 2-dimensional subspaces ⋮ Proximinality and renormings: some new examples ⋮ Strong proximinality of exposed faces of \(C_0(T)\) ⋮ Best approximation in polyhedral Banach spaces ⋮ Metric projections and polyhedral spaces ⋮ Semi-continuity of metric projections in ℓ_{∞}-direct sums ⋮ Strong subdifferentiability of convex functionals and proximinality ⋮ Unnamed Item ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• On transitivity of proximinality
• Representers of linear functionals, norm-attaining functionals, and best approximation by cones and linear varieties in inner product spaces
• The dual of a space with the Radon-Nikodym property
• Optimization of functions on certain subsets of Banach spaces
• Some properties of the peak-set-mapping
• Cebysev subspaces of finite codimension in \(C(X)\)

This page was built for publication: Proximinality in subspaces of \(c_0\)