International Journal of Mathematics and Mathematical Sciences
Volume 16 (1993), Issue 4, Pages 817-818
doi:10.1155/S0161171293001024
Research notes
Note on pointwise contractive projections
Departamento de Matemática Aplicada, Universidad Politécnica de Valencia, Valencia 46071, Spain
Received 16 April 1992
Copyright © 1993 L. M. Sanchez Ruiz and J. R. Ferrer Villanueva. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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).