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Autor Jaramillo Aguado, Jesús Ángel |
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Garrido, M. Isabel ; Gómez Gil, Javier ; Jaramillo Aguado, Jesús Ángel | Universidad de Extremadura, Departamento de Matemáticas | 1992For an algebra A of continuous real-valued functions on a topological space X, the question of whether every algebra homomorphism is a point evaluation for a point in X is considered. A variety of results are provided, such as the following. Let[...]texto impreso
Garrido, M. Isabel ; Gómez Gil, Javier ; Jaramillo Aguado, Jesús Ángel | Canadian Mathematical Society | 1994Let A be an algebra of continuous real functions on a topological space X. We study when every nonzero algebra homomorphism phi:A --> R is given by evaluation at some point of X. In the case that A is the algebra of rational functions (or real-[...]texto impreso
For a metric space X, we study the space D?(X) of bounded functions on X whose infinitesimal Lipschitz constant is uniformly bounded. D?(X) is compared with the space LIP?(X) of bounded Lipschitz functions on X, in terms of different properties [...]texto impreso
Let (a(n)) be a weakly null Schauder basis of a Banach space E, and let (lambda(n)) be a convergent sequence of real numbers. We study the problem of finding an m-times weakly uniformly differentiable function f on E such that f(a(n)) = lambda(n[...]texto impreso
Jaramillo Aguado, Jesús Ángel ; Prieto Yerro, M. Ángeles ; Zalduendo, Ignacio | Polish acad sciences inst mathematics | 2009This paper is devoted to several questions concerning linearizations of function spaces. We first consider the relation between linearizations of a given space when it is viewed as a function space over different domains. Then we study the probl[...]texto impreso
Garrido, M. Isabel ; Jaramillo Aguado, Jesús Ángel ; Rangel, Yenny C. | Universidad de Extremadura, Departamento de Matemáticas | 2010Our aim in this note is to give an extension of the classical Myers-Nakai theorem in the context of Finsler manifolds. To achieve this, we provide a general result in this line for subalgebras of bounded Lipschitz functions on length metric spac[...]texto impreso
In order to find metric spaces X for which the algebra Lip*(X) of bounded Lipschitz functions on X determines the Lipschitz structure of X, we introduce the class of small-determined spaces. We show that this class includes precompact and quasi-[...]texto impreso
For a class of Banach spaces E including separable spaces and realcompact superreflexive spaces, it is shown in this note that every nonzero scalar homomorphism on the algebra Cm() of all Cm- functions defined on an open subset of E is given by[...]texto impreso
From the text: "Problem A: Characterize (normal) spaces in which every C -embedded subset is closed. Problem B: Characterize (normal) spaces in which every C ? -embedded subset is closed. Our aim here is to call attention to the above problems,[...]texto impreso
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We introduce, study and characterize orthogonally additive holomorphic functions f:U -> a", where U is an open subset of C(K). We are led to consider orthogonal additivity at different points of U.texto impreso
Durand-Cartagena, Estibalitz ; Jaramillo Aguado, Jesús Ángel | Academic Press Inc Elsevier Science | 2010For a metric space X, we study the space D(infinity)(X) of bounded functions on X whose pointwise Lipschitz constant is uniformly bounded. D(infinity)(X) is compared with the space LIP(infinity)(X) of bounded Lipschitz functions on X, in terms o[...]texto impreso
Biström, Peter ; Jaramillo Aguado, Jesús Ángel ; Lindström, Mikael | Rocky Mt Math Consortium | 1998We investigate infinite dimensional Banach spaces equipped with the initial topology with respect to the continuous polynomials. We show nonlinear properties for this topology in both the real and the complex case. A new property for Banach spac[...]texto impreso
Garrido, M. Isabel ; Jaramillo Aguado, Jesús Ángel ; Llavona, José G. | Elsevier Science | 2005-06-05On every real Banach space X we introduce a locally convex topology tau(p), canonically associated to the weak-polynomial topology w(P). It is proved that tau(p) is the finest locally convex topology on X which is coarser than w(P). Furthermore,[...]texto impreso
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.