International Journal of Mathematics and Mathematical Sciences
Volume 16 (1993), Issue 4, Pages 817-818
doi:10.1155/S0161171293001024
Note on pointwise contractive projections
L.M. Sanchez Ruiz
and J.R. Ferrer Villanueva
Departamento de Matemática Aplicada, Universidad Politécnica de Valencia, Valencia 46071, Spain
Abstract
Let C(X) be the space of real-valued continuous functions on a Hausdorff completely regular topological space X. endowed with the compact-open topology. In this paper necessary and sufficient conditions are given for a subspace of C(X) to be the range of a pointwise contractive projection in C(X).