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
.