Geodesic
Metric projections of closed subspaces of $c_0$ onto subspaces of finite codimension
V. Indumathi1
1 Department of Mathematics Pondicherry University, Kalapet Pondicherry-605014, India
Colloquium Mathematicum, Tome 99 (2004) no. 2, pp. 231-252.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Let $X$ be a closed subspace of $c_0$. 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.
DOI : 10.4064/cm99-2-8
Keywords: closed subspace metric projection proximinal subspace finite codimension hausdorff metric continuous which particular implies lower upper hausdorff semicontinuous

V. Indumathi 1

1 Department of Mathematics Pondicherry University, Kalapet Pondicherry-605014, India 
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V. Indumathi. Metric projections of closed subspaces of $c_0$
 onto subspaces of finite codimension. Colloquium Mathematicum, Tome 99 (2004) no. 2, pp. 231-252. doi : 10.4064/cm99-2-8. http://geodesic.mathdoc.fr/articles/10.4064/cm99-2-8/

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