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Universidad de Extremadura, Departamento de Matemáticas |
Documentos disponibles de esta editorial (23)
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Gutiérrez, Joaquín M. ; Jaramillo Aguado, Jesús Ángel ; Llavona, José G. | Universidad de Extremadura, Departamento de Matemáticas | 1995In this paper we survey a large part of the results on polynomials on Banach spaces that have been obtained in recent years. We mainly look at how the polynomials behave in connection with certain geometric properties of the spaces.![]()
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Let E be a Fréchet space and p( n E) the space of n-homogeneous continuous polynomials on E, endowed with topology ? b of uniform convergence on the bounded subsets of E. The author gives an example of a Fréchet space E such that (p( n E),? b ) [...]![]()
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Gonzalo, Raquel ; Jaramillo Aguado, Jesús Ángel | Universidad de Extremadura, Departamento de Matemáticas | 1997In this paper we survey some recent results concerning separating polynomials on real Banach spaces. By this we mean a polynomial which separates the origin from the unit sphere of the space, thus providing an analog of the separating quadratic [...]![]()
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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, [...]![]()
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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[...]![]()
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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[...]