A Duality Principle for Rational Approximation

نویسندگان

  • GERHARD GIERZ
  • BORIS SHEKHTMAN
چکیده

Let E a C( AT) be a subspace of continuous functions defined on a compact Hausdorff space K. We characterize those spaces for which the rational functions with denominators and numerators from E are dense. Despite the non-linear structure of rational functions, this characterization uses only methods from linear functional analysis. As special cases, we recover various results on the density of Muntz rationals.

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تاریخ انتشار 2004