Título inglés |
Measures and probabilities in ordered structures. |
Título español |
Medidas y probabilidades en estructuras ordenadas. |
Autor/es |
Congost Iglesias, María |
Organización |
Esc. Téc. Super. Arquit. Barcelona, Barcelona, España |
Revista |
0210-7821 |
Publicación |
1981, 5 (1): 45-68, 11 Ref. |
Tipo de documento |
articulo |
Idioma |
Español |
Resumen inglés |
This paper is concerned with lattice-group valued measures for which the sygma-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 sygma-complete lattice-ring. Analogues of the monotone-convergence, dominated-convergence and Fatou theorems are obtained. |
Clasificación UNESCO |
120217 |
Palabras clave español |
Medidas ; Integración ; Probabilidad ; Medidas en retículos |
Código MathReviews |
MR0659246 |
Código Z-Math |
Zbl 0478.28008 |
Acceso al artículo completo |