Geodesic
On the Convergence and Regularity of Aumann-Pettis Integrable Multivalued Martingales
Journal of convex analysis, Tome 27 (2020) no. 4, pp. 1177-1194
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We prove a representation of Aumann-Pettis integrable multivalued martingales by Pettis integrable martingale selectors. Regularity of Aumann-Pettis integrable multivalued martingales and their convergence in Mosco sense, Wijsman topology, and linear topology are established.
Classification : 60G42, 60H05, 58J65
Mots-clés : Pettis multivalued martingales, regularity, representation theorem, Mosco convergence, linear topology 
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     author = {M. El Allali and M. El-Louh and F. Ezzaki},
     title = {On the {Convergence} and {Regularity} of {Aumann-Pettis} {Integrable} {Multivalued} {Martingales}},
     journal = {Journal of convex analysis},
     pages = {1177--1194},
     year = {2020},
     volume = {27},
     number = {4},
     url = {http://geodesic.mathdoc.fr/item/JCA_2020_27_4_JCA_2020_27_4_a5/}
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M. El Allali; M. El-Louh; F. Ezzaki. On the Convergence and Regularity of Aumann-Pettis Integrable Multivalued Martingales. Journal of convex analysis, Tome 27 (2020) no. 4, pp. 1177-1194. http://geodesic.mathdoc.fr/item/JCA_2020_27_4_JCA_2020_27_4_a5/