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Uniform approximation theorems for real-valued continuous functions

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Garrido, M. Isabel y Montalvo, Francisco (1992) Uniform approximation theorems for real-valued continuous functions. Topology and its Applications, 45 (2). pp. 145-155. ISSN 0166-8641

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URL Oficial: http://www.sciencedirect.com/science/article/pii/0166864192900544


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For a topological space X, F(X) denotes the algebra of real-valued functions over X and C(X) the subalgebra of all functions in F(X) which are continuous. In this paper we characterize the uniformly dense linear subspaces of C(X) by means of the so-called "Lebesgue chain condition". This condition is a generalization to the unbounded case of the S-separation by Blasco and Molto for the bounded case. Through the Lebesgue chain condition we also characterize the linear subspaces of F(X) whose uniform closure is closed under composition with uniformly continuous functions.


Tipo de documento:Artículo
Palabras clave:Lebesgue chain condition
Materias:Ciencias > Matemáticas > Topología
Código ID:15541
Depositado:08 Jun 2012 09:04
Última Modificación:27 May 2016 14:48

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