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Note on pointwise contractive projections. (English) Zbl 0802.47028

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 \(C(X)\).

MSC:

47B38 Linear operators on function spaces (general)
47B99 Special classes of linear operators
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