Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9500671 | Journal of Approximation Theory | 2005 | 14 Pages |
Abstract
A subset A of a metric space X is said to be a nonexpansive proximinal retract (NPR) of X if the metric projection from X to A admits a nonexpansive selection. We study the structure of NPR's in the space C(K) of continuous functions on a compact Hausdorff space K. The main results are a characterization of finite-codimensional and of finite-dimensional NPR subspaces of C(K) and a complete characterization of all NPR subsets of lân.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Yoav Benyamini, Rafael EspÃnola, Genaro López,