Acta Mathematica Vietnamica
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ON THE LAWS OF LARGE NUMBERS FOR MARTINGALE DIFFERENCES IN VON NEUMANN ALGEBRAS
NGUYEN VAN QUANG, NGUYEN DUY TIENpp. 13-22
Abstract
The aim of this paper is to investigate Laws of Large Numbers in von Neumann algebras with emphasis on the bilateral almost uniform convergence and the convergence in measure of weighted averages of martingale differences. The stability of quadratic forms in martingale differences is also studied.