ON THE WEAK LAW OF LARGE NUMBERS FOR ADAPTED SEQUENCES IN VON NEUMANN ALGEBRA
NGUYEN VAN QUANG
Abstract
We investigate the weak law of large numbers for adapted sequences of measurable operators. As corollaries of the main theorem we obtain non-commutative versions of some related results presented in the monograph ''Martingale limit theory and its application" of P. Hall and C. C. Heyde.