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Proximinality in Subspaces of c0 |
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| Authors: | G Godefroy V Indumathi |
| Institution: | Équipe d'Analyse, Boite 186, Université Paris VI, 4, Place Jussieu, Paris Cedex 05, 75252, France |
| Abstract: | We say that a normed linear space X is a R(1) space if the following holds: If Y is a closed subspace of finite codimension in X and every hyperplane containing Y is proximinal in X then Y is proximinal in X. In this paper we show that any closed subspace of c0 is a R(1) space. |
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