Geodesic
Convergence of distributions of sums of independent Hilbert-space-valued random variables
Teoriâ veroâtnostej i ee primeneniâ, Tome 16 (1971) no. 2, pp. 346-347

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In this paper, two limit theorems for sums of independent Hilbert-space-valued random variables are stated. 
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     author = {V. M. Kruglov},
     title = {Convergence of distributions of sums of independent {Hilbert-space-valued} random variables},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {346--347},
     publisher = {mathdoc},
     volume = {16},
     number = {2},
     year = {1971},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1971_16_2_a11/}
}
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V. M. Kruglov. Convergence of distributions of sums of independent Hilbert-space-valued random variables. Teoriâ veroâtnostej i ee primeneniâ, Tome 16 (1971) no. 2, pp. 346-347. http://geodesic.mathdoc.fr/item/TVP_1971_16_2_a11/