Proximinality in Subspaces of c0

[摘要] 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 Iis 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. (C) 1999 Academic Press.

[发布日期] 1999-12-01