Strongly proximinal subspaces of finite codimension in C(K)

S. Dutta, and Darapaneni Narayana. "Strongly proximinal subspaces of finite codimension in C(K)." Colloquium Mathematicae 109.1 (2007): 119-128. <http://eudml.org/doc/283753>.

@article{S2007,
abstract = {We characterize strongly proximinal subspaces of finite codimension in C(K) spaces. We give two applications of our results. First, we show that the metric projection on a strongly proximinal subspace of finite codimension in C(K) is Hausdorff metric continuous. Second, strong proximinality is a transitive relation for finite-codimensional subspaces of C(K).},
author = {S. Dutta, Darapaneni Narayana},
journal = {Colloquium Mathematicae},
keywords = {strong proximinality; SSD-points; QP-points; Hausdorff metric continuous},
language = {eng},
number = {1},
pages = {119-128},
title = {Strongly proximinal subspaces of finite codimension in C(K)},
url = {http://eudml.org/doc/283753},
volume = {109},
year = {2007},
}

TY - JOUR
AU - S. Dutta
AU - Darapaneni Narayana
TI - Strongly proximinal subspaces of finite codimension in C(K)
JO - Colloquium Mathematicae
PY - 2007
VL - 109
IS - 1
SP - 119
EP - 128
AB - We characterize strongly proximinal subspaces of finite codimension in C(K) spaces. We give two applications of our results. First, we show that the metric projection on a strongly proximinal subspace of finite codimension in C(K) is Hausdorff metric continuous. Second, strong proximinality is a transitive relation for finite-codimensional subspaces of C(K).
LA - eng
KW - strong proximinality; SSD-points; QP-points; Hausdorff metric continuous
UR - http://eudml.org/doc/283753
ER -