Convergence and Gundy`s decomposition for noncommutative quasi-martingales

Authors : Congbian MA, PING LI, Youliang HOU

Pages : 2724-2734

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Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :In this paper, we prove the bilaterally almost uniformly convergence of bounded $L_1insert ignore into journalissuearticles values(\mathcal{M});$-noncommutative quasi-martingales. We also prove Gundy`s decomposition for noncommutative quasi-martingales. As an application, we prove that every relatively weakly compact quasi-martingale difference sequence in $L_1insert ignore into journalissuearticles values(\mathcal{M},\tau);$ whose sequence of norms is bounded away from zero is 2-co-lacunary.
Keywords : Convergence, Gundy`s decomposition, noncommutative quasi martingales