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Universidad de Extremadura, Departamento de Matemáticas |
Documentos disponibles de esta editorial (23)
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Ancochea Bermúdez, José María ; Campoamor Stursberg, Otto Ruttwig | Universidad de Extremadura, Departamento de Matemáticas | 2001Jacobson proved in 1955 that any Lie algebra over a field of characteristic zero which has nondegenerate derivations is nilpotent. Dixmier and Lister proved in 1957 that the converse is false. They provided an example of a new class of Lie algeb[...]texto impreso
This paper is a survey of the results of Bombal and I. Villanueva Díez [Funct. Approx. Comment. Math. 26 (1998), 117–126; Bombal, D. Pérez-García and Villanueva Díez [Q. J. Math. 55 (2004), no. 4, 441–450; and Pérez-García and Villanueva Díez [A[...]texto impreso
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Villanueva, Ignacio ; Cabello Sánchez, Félix ; García, R. | Universidad de Extremadura, Departamento de Matemáticas | 2001This paper considers the problem of extending multilinear forms on a Banach space X to a larger space Y containing it as a closed subspace. For instance, if X is a subspace of Y and X0 ! Y 0 extends linear forms, then the induced Nicodemi operat[...]texto impreso
Azagra Rueda, Daniel ; Jiménez Sevilla, María del Mar | Universidad de Extremadura, Departamento de Matemáticas | 2002While the topological and geometrical properties of convex bodies in Banach spaces are quite well understood (including their topological and smooth classification), much less is known about the structure of starlike bodies. Starlike bodies are [...]texto impreso
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
Granero, A. S. ; Jiménez Sevilla, María del Mar ; Moreno, José Pedro | Universidad de Extremadura, Departamento de Matemáticas | 2004In section 1 we present definitions and basic results concerning the Mazur intersection property (MIP) and some of its related properties as the MIP* . Section 2 is devoted to renorming Banach spaces with MIP and MIP*. Section 3 deals with the c[...]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
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One of the most important methods used in literature to introduce new properties in a Banach space E, consists in establishing some non trivial relationships between different classes of subsets of E. For instance, E is reflexive, or has finite [...]texto impreso
Garrido, M. Isabel ; Montalvo, Francisco | Universidad de Extremadura, Departamento de Matemáticas | 1991From the introduction: "For a completely regular space X , C ? (X) denotes the algebra of all bounded real-valued continuous functions over X . We consider the topology of uniform convergence over C ? (X) . "In this paper we carry out a syste[...]texto impreso
Let E be a complex locally convex space, U a balanced open subset of E. The author continues the study of the quasinormability of the space Hb(U) of all holomorphic functions on U which are bounded on the U-bounded subsets of U. His main goal is[...]texto impreso
Let K be a compact Hausdorff space and E,F B-spaces. Let L(E,F) be the space of all bounded linear operators from E into F, and C(K,E) the space of all continuous E-valued functions defined on K equipped with the sup-norm. Any bounded linear ope[...]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.texto impreso
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 ) [...]texto impreso
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 [...]texto impreso
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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, [...]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[...]