Información del autor
Autor Llavona, José G. |
Documentos disponibles escritos por este autor (38)
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The aim of this article is to prove a representation theorem for orthogonally additive polynomials in the spirit of the recent theorem on representation of orthogonally additive polynomials on Banach lattices but for the setting of Riesz spaces.[...]![]()
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Bombal Gordón, Fernando ; Llavona, José G. | Real Academia de Ciencias Exactas, Físicas y Naturales | 1976Let E and X be real Banach and locally convex spaces, respectively. Let Ccn(E,X) denote the space of n times continuously Hadamard differentiable functions f:E?X, endowed with the locally convex topology generated by the seminorms of the form f?[...]![]()
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Let E = F' where F is a complex Banach space and let pi(1) : E" - E circle plus F-perpendicular to --> E be the canonical projection. Let P(E-n) be the space of the complex valued continuous n-homogeneous polynomials defined in E. We characteri[...]![]()
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García González, Ricardo ; Jaramillo Aguado, Jesús Ángel ; Llavona, José G. | Wiley-Blackwell | 2011In this paper we show that the Aron-Berner type extension of polynomials preserves the P-continuity property. To this end we introduce a new version of Goldstine's Theorem for locally complemented subspaces.![]()
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This paper is concerned with the study of the set P-1 (0), when P varies over all orthogonally additive polynomials on l(p) and L (p) spaces. We apply our results to obtain characterizations of the weak-polynomial topologies associated to this c[...]![]()
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This is a survey paper concerning:\par 1) relations between spaces of weakly continuous functions on Banach spaces and their weak topologies;\par 2) weakly continuous and weakly differentiable function spaces in relation with the extension of [...]![]()
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This paper is an expository presentation of a large part of the results, about zeros of real polynomials on Banach spaces, that have been obtained in recent years. Also new results, for orthogonally additive polynomials on L-p spaces, are given