Geodesic
On the Lévy inequality for random variables in a Banach space
Teoriâ veroâtnostej i ee primeneniâ, Tome 19 (1974) no. 1, pp. 154-158 Cet article a éte moissonné depuis la source Math-Net.Ru

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The Lévy inequality for independent Banach-space-valued random variables is proved, its applications to convergence of series of independent Gaussian variables in a Banach space are given. 
@article{TVP_1974_19_1_a12,
     author = {V. V. Buldygin},
     title = {On the {L\'evy} inequality for random variables in {a~Banach} space},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {154--158},
     year = {1974},
     volume = {19},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1974_19_1_a12/}
}
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V. V. Buldygin. On the Lévy inequality for random variables in a Banach space. Teoriâ veroâtnostej i ee primeneniâ, Tome 19 (1974) no. 1, pp. 154-158. http://geodesic.mathdoc.fr/item/TVP_1974_19_1_a12/