Geodesic
Some remarks on convergence of sums of independent $l_p$-valued random variables, $1\le p+\infty$
Teoriâ veroâtnostej i ee primeneniâ, Tome 21 (1976) no. 2, pp. 395-398 
Nguyen Zuy Tien. Some remarks on convergence of sums of independent $l_p$-valued random variables, $1\le p<+\infty$. Teoriâ veroâtnostej i ee primeneniâ, Tome 21 (1976) no. 2, pp. 395-398. http://geodesic.mathdoc.fr/item/TVP_1976_21_2_a15/
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     author = {Nguyen Zuy Tien},
     title = {Some remarks on convergence of sums of independent $l_p$-valued random variables, $1\le p<+\infty$},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {395--398},
     year = {1976},
     volume = {21},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1976_21_2_a15/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

Convergence almost everywhere of sums of independent $l_p$-valued ($1\le p<\infty$) random variables is studied. As a corollary, the strong law of large numbers is obtained.