Sanchez Ruiz, L. M.; Ferrer Villanueva, J. R. Note on pointwise contractive projections. (English) Zbl 0802.47028 Int. J. Math. Math. Sci. 16, No. 4, 817-818 (1993). For a completely regular Hausdorff topological space \(X\), let \(C(X)\) denote the space of all real-valued continuous functions on \(X\). In this note the authors consider contractive projections and find necessary and sufficient conditions in order a subspace of \(C(X)\) be the range of a pointwise contractive projection in \(C(X)\). Reviewer: A.-A.Jafarian (West Haven) MSC: 47B38 Linear operators on function spaces (general) 47B99 Special classes of linear operators Keywords:extreme point; completely regular Hausdorff topological space; contractive projections PDFBibTeX XMLCite \textit{L. M. Sanchez Ruiz} and \textit{J. R. Ferrer Villanueva}, Int. J. Math. Math. Sci. 16, No. 4, 817--818 (1993; Zbl 0802.47028) Full Text: DOI EuDML