Remarks on linear selections for the metric projection

Abstract

The aim of this paper is to give a characterization of the finite-dimensional subspaces of Lp, 1 ≤ p < ∞, and C0(T) whose metric projections admit linear selections. The paper also gives a characterization of finite co-dimensional subspaces of l1 and c0 whose metric projections have linear selections. © 1985.

Publication Title

Journal of Approximation Theory

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