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Autor Llavona, José G. |
Documentos disponibles escritos por este autor (38)
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Let E and F be two Banach spaces and let A be a nonempty subset of E . A mapping f:A?F is said to be weakly continuous if it is continuous when A has the relative weak topology and F has the topology of its norm. Let A={E} , B= {A?E:A is[...]texto impreso
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Given a multi-index sequence necessary and sufficient conditions are given for the existence of a regular Borel polymeasure on the unit interval such that . This problem will be called the weak multilinear Hausdorff problemof moments for . Compa[...]texto impreso
Llavona, José G. ; Linares Briones, Pablo ; Ibort Latre, Luis Alberto | American Mathematical Society | 2010A multilinear generalization of the trigonometric problem of moments is presented and discussed. The moments c(k), k is an element of Z(n) of a regular Borel polymeasure gamma on T(n) are characterized by means of a norm parallel to . parallel t[...]texto impreso
Llavona, José G. ; Linares Briones, Pablo ; Ibort Latre, Luis Alberto | European Mathematical Society | 2009-06We present a new proof of a Sundaresan's result which shows that the space of orthogonally additive polynomials P-0((k)l(p)) is isometrically isomorphic to l(p/p-k) if ktexto impreso
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Given a Banach space X and an integer n, the existence of an n-homogeneous polynomial which is not uniformly continuous with respect to the polynomial topology on B-X is investigated. We provide a complete characterization for some classical Ban[...]texto impreso
A characterization of dense polynomial algebras is obtained for a certain class of p-continously differentiable Fréchet functions between real Banach spaces. In order to study this result a new approximation property in Banach spaces, the bounde[...]texto impreso
A mapping between Banach spaces is said to be polynomially continuous if its restriction to any bounded set is uniformly continuous for the weak polynomial topology. A Banach space X has property(RP) if given two bounded sequences (u(j)), (v(j))[...]texto impreso
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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
A mapping between Banach spaces is said to be polynomially continuous if its restriction to any bounded set is uniformly continuous for the weak polynomial topology. Every compact (linear) operator is polynomially continuous. We prove that every[...]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.