Strongly proximinal subspaces of finite codimension in C(K)
S. Dutta ; Darapaneni Narayana
Colloquium Mathematicae, Tome 107 (2007), p. 119-128 / Harvested from The Polish Digital Mathematics Library
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We characterize strongly proximinal subspaces of finite codimension in C(K) spaces. We give two applications of our results. First, we show that the metric projection on a strongly proximinal subspace of finite codimension in C(K) is Hausdorff metric continuous. Second, strong proximinality is a transitive relation for finite-codimensional subspaces of C(K).

Publié le : 2007-01-01
EUDML-ID : urn:eudml:doc:283753 
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     year = {2007},
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S. Dutta; Darapaneni Narayana. Strongly proximinal subspaces of finite codimension in C(K). Colloquium Mathematicae, Tome 107 (2007) pp. 119-128. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm109-1-10/