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Autor Garrido, M. Isabel |
Documentos disponibles escritos por este autor (37)
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In this paper we introduce a realcompactification for any metric space (X, d), defined by means of the family of all its real-valued uniformly continuous functions. We call it the Samuel realcompactification, according to the well known Samuel c[...]texto impreso
The class of metric spaces (X,d) known as small-determined spaces, introduced by Garrido and Jaramillo, are properly defined by means of some type of real-valued Lipschitz functions on X. On the other hand, B-simple metric spaces introduced by H[...]texto impreso
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[...]texto impreso
Garrido, M. Isabel ; Montalvo, Francisco | Universidad de Extremadura, Departamento de Matemáticas | 1991From 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, [...]texto impreso
This paper deals with the equivalence between u-density and m-density for the subrings of C(X). It was proved by Kurzweil that such equivalence holds for those subrings that are closed under bounded inversion. Here an example is given in C(N) of[...]texto impreso
Garrido, M. Isabel ; Montalvo, Francisco | Universidad de Extremadura, Departamento de Matemáticas | 1994Let C(X) denote the continuous real-valued functions on a topological space X . The question of whether a u -dense subring of C(X) is m -dense is studied in this note. Recall that neighborhoods of a function f in the u -topology are determine[...]texto impreso
Garrido, M. Isabel ; Jaramillo Aguado, Jesús Ángel | Universidad de Extremadura, Departamento de Matemáticas | 2002This paper is based on a series of lectures delivered during a 2001 summer course of the University of Cantabria in Spain. The central theme is the characterization of a topological space X in terms of the topological-algebraic structure of su[...]