Turkish Journal of Mathematics
Abstract
In this paper, we prove the bilaterally almost uniformly convergence of bounded $L_1(\mathcal{M})$-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 $L_1(\mathcal{M},\tau)$ whose sequence of norms is bounded away from zero is 2-co-lacunary.
DOI
10.3906/mat-1706-75
Keywords
Convergence, Gundy's decomposition, noncommutative quasi-martingales
First Page
2724
Last Page
2734
Recommended Citation
MA, C, LI, P, & HOU, Y (2018). Convergence and Gundy's decomposition for noncommutative quasi-martingales. Turkish Journal of Mathematics 42 (5): 2724-2734. https://doi.org/10.3906/mat-1706-75
