Teoriâ veroâtnostej i ee primeneniâ, Tome 24 (1979) no. 4, pp. 808-813
Citer cet article
T. А. Skorohod. On the convergence of infinite products of independent random linear operators in a Hilbert space. Teoriâ veroâtnostej i ee primeneniâ, Tome 24 (1979) no. 4, pp. 808-813. http://geodesic.mathdoc.fr/item/TVP_1979_24_4_a9/
@article{TVP_1979_24_4_a9,
author = {T. {\CYRA}. Skorohod},
title = {On the convergence of infinite products of independent random linear operators in {a~Hilbert} space},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {808--813},
year = {1979},
volume = {24},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1979_24_4_a9/}
}
TY - JOUR
AU - T. А. Skorohod
TI - On the convergence of infinite products of independent random linear operators in a Hilbert space
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1979
SP - 808
EP - 813
VL - 24
IS - 4
UR - http://geodesic.mathdoc.fr/item/TVP_1979_24_4_a9/
LA - ru
ID - TVP_1979_24_4_a9
ER -
%0 Journal Article
%A T. А. Skorohod
%T On the convergence of infinite products of independent random linear operators in a Hilbert space
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1979
%P 808-813
%V 24
%N 4
%U http://geodesic.mathdoc.fr/item/TVP_1979_24_4_a9/
%G ru
%F TVP_1979_24_4_a9
The first two theorems of the paper give simple sufficient conditions for the convergence with probability 1 of the products named in the title. The third theorem presents necessary and sufficient conditions for convergence and resembles the well-known Kolmogorov's theorem on three series.
