Metric projections of closed subspaces of c₀ onto subspaces of finite codimension
V. Indumathi
Colloquium Mathematicae, Tome 100 (2004), p. 231-252 / Harvested from The Polish Digital Mathematics Library
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Let X be a closed subspace of c₀. We show that the metric projection onto any proximinal subspace of finite codimension in X is Hausdorff metric continuous, which, in particular, implies that it is both lower and upper Hausdorff semicontinuous.

Publié le : 2004-01-01
EUDML-ID : urn:eudml:doc:284460 
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     title = {Metric projections of closed subspaces of c0 onto subspaces of finite codimension},
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     volume = {100},
     year = {2004},
     pages = {231-252},
     zbl = {1061.46010},
     language = {en},
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V. Indumathi. Metric projections of closed subspaces of c₀ onto subspaces of finite codimension. Colloquium Mathematicae, Tome 100 (2004) pp. 231-252. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm99-2-8/