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A duality principle
for rational approximation
Gerhard Gierz and Boris Shekhtman |
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Vol. 125 (1986), No. 1, 79–92
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Abstract |
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Let E ⊂ C(K) 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 Müntz rationals. |
Mathematical Subject Classification 2000
Primary: 41A20
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Milestones
Received: 6 September 1985
Revised: 10 January 1986
Published: 1 November 1986
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Authors |
| Gerhard Gierz | |
| Boris Shekhtman | |
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