Medidas y probabilidades en estructuras ordenadas

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Title:	Medidas y probabilidades en estructuras ordenadas
Author:	Congost Iglesias, M. Assumpta
Other authors:	Universitat Politècnica de Catalunya. Departament d'Estructures a l'Arquitectura
Abstract:	This paper is concerned with lattice-group valued measures for wich the σ-additivity is defined by means of the order convergence properties. In the first section we treat the analogues for such order-measures with values in a Dedekind complete lattice-group of the Jordan, Lebesgue and Yosida-Hewitt descompositions. The second section deals with the construction of an integral for functions with respect to an order-measure, both taking their values in a Dedekind σ-complete lattice-ring. Analogues of the monotone-convergence, dominated-convergence and Fatou theorems are obtained.
Abstract:	Peer Reviewed
Subject(s):	-Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi matemàtica -Mathematical analysis -Anàlisi matemàtica
Rights:	Attribution-NonCommercial-NoDerivs 3.0 Spain http://creativecommons.org/licenses/by-nc-nd/3.0/es/
Document type:	Article - Published version Article
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