Acta Mathematica Vietnamica
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ON THE WEAK LAW OF LARGE NUMBERS FOR ADAPTED SEQUENCES IN VON NEUMANN ALGEBRA
NGUYEN VAN QUANGpp. 231-236
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.