Measures and probabilities in ordered structures.

María Congost Iglesias

Stochastica (1981)

  • Volume: 5, Issue: 1, page 45-68
  • ISSN: 0210-7821

Abstract

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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.

How to cite

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Congost Iglesias, María. "Medidas y probabilidades en estructuras ordenadas.." Stochastica 5.1 (1981): 45-68. <http://eudml.org/doc/38852>.

@article{CongostIglesias1981,
author = {Congost Iglesias, María},
journal = {Stochastica},
keywords = {Medidas; Integración; Probabilidad; Medidas en retículos; lattice-group valued set-functions; order convergence and countably additivity; integration; order-measure; Dedekind complete lattice-group; Jordan decomposition; Yosida-Hewitt decomposition; continuity; singularity; monotone-convergence; dominated-convergence; Fatou theorems; Radon-Nikodym theorem},
language = {spa},
number = {1},
pages = {45-68},
title = {Medidas y probabilidades en estructuras ordenadas.},
url = {http://eudml.org/doc/38852},
volume = {5},
year = {1981},
}

TY - JOUR
AU - Congost Iglesias, María
TI - Medidas y probabilidades en estructuras ordenadas.
JO - Stochastica
PY - 1981
VL - 5
IS - 1
SP - 45
EP - 68
LA - spa
KW - Medidas; Integración; Probabilidad; Medidas en retículos; lattice-group valued set-functions; order convergence and countably additivity; integration; order-measure; Dedekind complete lattice-group; Jordan decomposition; Yosida-Hewitt decomposition; continuity; singularity; monotone-convergence; dominated-convergence; Fatou theorems; Radon-Nikodym theorem
UR - http://eudml.org/doc/38852
ER -

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