Geodesic
Convergence of Banach lattice valued stochastic processes without the Radon-Nikodym property
Acta mathematica Universitatis Comenianae, Tome 74 (2005) no. 1 
V. Marraffa. Convergence of Banach lattice valued stochastic processes
without the Radon-Nikodym property. Acta mathematica Universitatis Comenianae, Tome 74 (2005) no. 1. http://geodesic.mathdoc.fr/item/AMUC_2005_74_1_a10/
@article{AMUC_2005_74_1_a10,
     author = {V. Marraffa},
     title = {Convergence of {Banach} lattice valued stochastic processes
without the {Radon-Nikodym} property},
     journal = {Acta mathematica Universitatis Comenianae},
     year = {2005},
     volume = {74},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2005_74_1_a10/}
}
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Voir la notice de l'article provenant de la source Comenius University

We obtain almost sure convergence theorems for stochastic processes consisting of Bochner integrable functions taking values in a Banach lattice without assuming the Radon-Nikodym property. It is shown that if the limit exists in a~weak sense then the almost sure convergence follows.