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Linear selections for the metric projection
Authors:Frank Deutsch
Affiliation:Department of Mathematics, Pennsylvania State University, University Park, Pennsylvania 16802 USA
Abstract:A characterization is given of those proximinal subspaces of a normed linear space whose (set-valued) metric projections admit linear selections. This characterization is applied in each of the classical Banach spaces C0(T) and Lp (1 ? p ? ∞), resulting in an intrinsic characterization of those one-dimensional subspaces whose metric projections admit linear selections.
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