Restricted centers in C ( ) C(Omega )
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abstract
The concept of restricted center is a natural generalization of the notion of Chebyshev center. We prove a necessary and sufficient condition for a bounded subset A of C(), paracompact, to have a restricted center with respect to B, another subset of C(). This theorem is then applied to subspaces of finite codimension in C(I), I a compact interval. 1975, American Mathematical Society.