Metric projections of closed subspaces of $c_0$ onto subspaces of finite codimension
Volume 99 / 2004
Colloquium Mathematicum 99 (2004), 231-252
MSC: 46B20, 41A50, 41A65.
DOI: 10.4064/cm99-2-8
Abstract
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.
