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Proximinal subspaces of 2-normed spaces

✍ Scribed by Sh. Rezapour

Publisher: Springer
Year: 2006
Tongue: English
Weight: 117 KB
Volume: 22
Category: Article
ISSN: 1573-8175
DOI: 10.1007/bf03218704

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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 c 0 is a R(1) space. ## 1999 Academic Pr