Geodesic
Levy's theorem and strong convergence of martingales in a dual space
Acta mathematica Universitatis Comenianae, Tome 81 (2012) no. 1, pp. 31-54 
M. Saadoune; M. Saadoune. Levy's theorem and strong convergence of martingales in a dual space. Acta mathematica Universitatis Comenianae, Tome 81 (2012) no. 1, pp. 31-54. http://geodesic.mathdoc.fr/item/AMUC_2012_81_1_a3/
@article{AMUC_2012_81_1_a3,
     author = {M. Saadoune and M. Saadoune},
     title = { Levy's theorem and strong convergence of martingales in a dual space},
     journal = {Acta mathematica Universitatis Comenianae},
     pages = {31--54},
     year = {2012},
     volume = {81},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2012_81_1_a3/}
}
TY  - JOUR
AU  - M. Saadoune
AU  - M. Saadoune
TI  - Levy's theorem and strong convergence of martingales in a dual space
JO  - Acta mathematica Universitatis Comenianae
PY  - 2012
SP  - 31
EP  - 54
VL  - 81
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/AMUC_2012_81_1_a3/
ID  - AMUC_2012_81_1_a3
ER  - 
%0 Journal Article
%A M. Saadoune
%A M. Saadoune
%T Levy's theorem and strong convergence of martingales in a dual space
%J Acta mathematica Universitatis Comenianae
%D 2012
%P 31-54
%V 81
%N 1
%U http://geodesic.mathdoc.fr/item/AMUC_2012_81_1_a3/
%F AMUC_2012_81_1_a3

Voir la notice de l'article provenant de la source Comenius University

We prove Levy's Theorem for a new class of functions taking values in a dual space and we obtain almost sure strong convergence of martingales and mils satisfying various tightness conditions.