Uniform approximation theorems for real-valued continuous functions
From the introduction: "We study the uniform closure of a linear subspace of real-valued functions and we obtain, in particular, a necessary and sufficient condition for uniform density in C(X). These results generalize, for the unbounded case, those obtained by J. L. Blasco and A. Moltó [Ann....
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 1991 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/58551 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/58551 |
| Access Level: | acceso abierto |
| Palabra clave: | 515.1 Topología 1210 Topología |
| Sumario: | From the introduction: "We study the uniform closure of a linear subspace of real-valued functions and we obtain, in particular, a necessary and sufficient condition for uniform density in C(X). These results generalize, for the unbounded case, those obtained by J. L. Blasco and A. Moltó [Ann. Mat. Pura Appl. (4) 134 (1983), 233–239 for the bounded case. The approximation technique used by them (essentially the same one used in papers by Tietze, S. Mrówka and G. J. O. Jameson) is also the starting point for us.'' |
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