contractive projection
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1993 ◽  
Vol 16 (4) ◽  
pp. 817-818
Author(s):  
L. M. Sanchez Ruiz ◽  
J. R. Ferrer Villanueva

LetC(X)be the space of real-valued continuous functions on a Hausdorff completely regular topological spaceX. endowed with the compact-open topology. In this paper necessary and sufficient conditions are given for a subspace ofC(X)to be the range of a pointwise contractive projection inC(X).


1986 ◽  
Vol 34 (2) ◽  
pp. 271-274
Author(s):  
Mark Spivack

In this note we prove the uniqueness of a projection onto a given subspace with strictly contractive complement. We also show that, if one completely contractive projection is invariant under another, then the two commute.


1985 ◽  
Vol 60 (1) ◽  
pp. 56-79 ◽  
Author(s):  
Yaakov Friedman ◽  
Bernard Russo

1974 ◽  
Vol 53 (1) ◽  
pp. 21-41 ◽  
Author(s):  
S. J. Bernau ◽  
Howard Lacey

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