In this note noncommutative versions of Etemadi's SLLN and Petrov's SLLN are given. As a noncommutative counterpart of the classical almost sure convergence, the almost uniform convergence of measurable operators is used.
 Batty, C. J. K.1979The strong law of large numbers for states and traces of a W*-algebraZ. Wahrsch. Verw. Gebiete48177–191.