Strengthened Stone-Weierstrass type theorem
The aim of the paper is to prove that if \(L\) is a linear subspace of the space \(\mathcal{C}(K)\) of all real-valued continuous functions defined on a nonempty compact Hausdorff space \(K\) such that \(\min(|f|, 1) \in L\) whenever \(f \in L\), then for any nonzero \(g \in \overline{L}\) (where...
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| Format: | Article |
| Language: | English |
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AGH Univeristy of Science and Technology Press
2011-01-01
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| Series: | Opuscula Mathematica |
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| Online Access: | http://www.opuscula.agh.edu.pl/vol31/4/art/opuscula_math_3143.pdf |