Turkish Journal of Mathematics
DOI
10.3906/mat-1706-75
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.
Keywords
Convergence, Gundy's decomposition, noncommutative quasi-martingales
First Page
2724
Last Page
2734
Recommended Citation
MA, CONGBIAN; LI, PING; and HOU, YOULIANG
(2018)
"Convergence and Gundy's decomposition for noncommutative quasi-martingales,"
Turkish Journal of Mathematics: Vol. 42:
No.
5, Article 48.
https://doi.org/10.3906/mat-1706-75
Available at:
https://journals.tubitak.gov.tr/math/vol42/iss5/48
