Metric projections of closed subspaces of c₀ onto subspaces of finite codimension

V. Indumathi. "Metric projections of closed subspaces of c₀ onto subspaces of finite codimension." Colloquium Mathematicae 99.2 (2004): 231-252. <http://eudml.org/doc/284460>.

@article{V2004,
abstract = {Let X be a closed subspace of c₀. 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.},
author = {V. Indumathi},
journal = {Colloquium Mathematicae},
keywords = {Hausdorff metric},
language = {eng},
number = {2},
pages = {231-252},
title = {Metric projections of closed subspaces of c₀ onto subspaces of finite codimension},
url = {http://eudml.org/doc/284460},
volume = {99},
year = {2004},
}

TY - JOUR
AU - V. Indumathi
TI - Metric projections of closed subspaces of c₀ onto subspaces of finite codimension
JO - Colloquium Mathematicae
PY - 2004
VL - 99
IS - 2
SP - 231
EP - 252
AB - Let X be a closed subspace of c₀. 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.
LA - eng
KW - Hausdorff metric
UR - http://eudml.org/doc/284460
ER -