Geodesic
Laws of large numbers in Banach spaces of type $(F,F_1 )$
Teoriâ veroâtnostej i ee primeneniâ, Tome 38 (1993) no. 4, pp. 906-909

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This paper gives strong and weak laws of large numbers for random elements with values in Banach spaces of type $(F,F_1)$. The known laws of large numbers in Banach spaces of stable and Rademacher type $p$ are special cases of these results. Characterizations of spaces of type $(F,F_1)$ are given in terms of these laws.
Keywords: space of type $(F,F_1 )$, law of large numbers, random element. 
@article{TVP_1993_38_4_a14,
     author = {A. N. Chuprunov},
     title = {Laws of large numbers in {Banach} spaces of type $(F,F_1 )$},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {906--909},
     publisher = {mathdoc},
     volume = {38},
     number = {4},
     year = {1993},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1993_38_4_a14/}
}
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A. N. Chuprunov. Laws of large numbers in Banach spaces of type $(F,F_1 )$. Teoriâ veroâtnostej i ee primeneniâ, Tome 38 (1993) no. 4, pp. 906-909. http://geodesic.mathdoc.fr/item/TVP_1993_38_4_a14/