Teoriâ veroâtnostej i ee primeneniâ, Tome 26 (1981) no. 2, pp. 385-391
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Dang Hung Thang; Nguen Duy Tien. On the convergence of martingales and geometric properties of Banach spaces. Teoriâ veroâtnostej i ee primeneniâ, Tome 26 (1981) no. 2, pp. 385-391. http://geodesic.mathdoc.fr/item/TVP_1981_26_2_a12/
@article{TVP_1981_26_2_a12,
author = {Dang Hung Thang and Nguen Duy Tien},
title = {On the convergence of martingales and geometric properties of {Banach} spaces},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {385--391},
year = {1981},
volume = {26},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1981_26_2_a12/}
}
TY - JOUR
AU - Dang Hung Thang
AU - Nguen Duy Tien
TI - On the convergence of martingales and geometric properties of Banach spaces
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1981
SP - 385
EP - 391
VL - 26
IS - 2
UR - http://geodesic.mathdoc.fr/item/TVP_1981_26_2_a12/
LA - ru
ID - TVP_1981_26_2_a12
ER -
%0 Journal Article
%A Dang Hung Thang
%A Nguen Duy Tien
%T On the convergence of martingales and geometric properties of Banach spaces
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1981
%P 385-391
%V 26
%N 2
%U http://geodesic.mathdoc.fr/item/TVP_1981_26_2_a12/
%G ru
%F TVP_1981_26_2_a12
In this paper we give a condition which implies the almost sure convergence of a class of martingales with values in a uniformly 2-smooth Banach space. This condition is also necessary if martingales take values in a uniformly 2-convex Banach space. These results allow us to characterize the Hilbert space in terms of the almost sure convergence of martingales.
