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Título:
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Generation of the uniformly continuous functions
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Autores:
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Garrido, M. Isabel ;
Montalvo, Francisco
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Tipo de documento:
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texto impreso
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Editorial:
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Elsevier Science, 2004-02-28
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Dimensiones:
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application/pdf
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Nota general:
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info:eu-repo/semantics/restrictedAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Matemáticas: Análisis funcional y teoría de operadores
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Materia = Ciencias: Matemáticas: Topología
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Tipo = Artículo
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Resumen:
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Let X be a set and F a family of real-valued functions on X. We denote by ?FX the space X endowed with the weak uniformity given by F. In this paper we provide a method of generating the set U(?FX), of all uniformly continuous real functions on ?FX, by means of the family F. In order to do that we need to study the uniform approximation of real uniformly continuous functions on subsets of Rn. As a consequence, we give an internal condition on F in order to be uniformly dense in U(?FX).
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En línea:
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https://eprints.ucm.es/id/eprint/21377/1/Garrido9.pdf
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