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- W2000643941 abstract "Let X be a closed subspace of c0. We show that the metric projection onto any proximinal subspace of nite codimension in X is Hausdor metric continuous, which, in particular, implies that it is both lower and upper Hausdor semicontinuous. 1. Proximinal subspaces of nite codimension. Let X be a real Banach space. Let D X and F be a map from D into a collection of non- empty subsets of X. If x2 D, the set-valued map F is lower semicontinuous at x if given > 0 and z in F (x), there exists > 0 such that for all y in D withkx yk 0, there exists > 0 such that F (y) F (x) +BX" @default.
- W2000643941 created "2016-06-24" @default.
- W2000643941 creator A5002519203 @default.
- W2000643941 date "2004-01-01" @default.
- W2000643941 modified "2023-10-01" @default.
- W2000643941 title "Metric projections of closed subspaces of c0onto subspaces of finite codimension" @default.
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- W2000643941 doi "https://doi.org/10.4064/cm99-2-8" @default.
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