On approximation by rationals from a hyperplane
Authors: Gerhard Gierz and Boris Shekhtman
Journal: Proc. Amer. Math. Soc. 96 (1986), 452-454
MSC: Primary 41A20
MathSciNet review: 822438
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Abstract: Let $E \subset C(K)$ be a subspace of continuous functions defined on a compact Hausdorff space $K$. We characterize those subspaces of codimension 1 for which the rational functions with denominators and enumerators from $E$ are dense. The condition for the density of this very nonlinear set of functions turns out to be a linear separation condition.
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