Convergence  and  Gundy's decomposition  for noncommutative  quasi-martingales

Congbian MA; PING LI; Youliang HOU

Article Details

Convergence and Gundy's decomposition for noncommutative quasi-martingales

Authors:

Congbian MA | PING LI | Youliang HOU

Publisher:

TUBITAK

Journal:

Turkish Journal of Mathematics 2018 Vol.42 Issue 5, pp.2724-2734

Document Type:

Article

Publication Date:

9/2018

Document Language:

Turkish

Document ID (Org No.):

2000745794

Frequency:

Bimonthly

eISSN:

1303-6149

pISSN:

1300-0098

Abstract:

 

In this paper, we prove the  bilaterally almost uniformly convergence of bounded L1(M)L1(M)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 L1(M,τ)L1(M,τ)L_1(\mathcal{M},\tau) whose sequence of norms is bounded  away from zero is 2-co-lacunary.

Article Details

Convergence and Gundy's decomposition for noncommutative quasi-martingales

Authors: Congbian MA | PING LI | Youliang HOU

Publisher: TUBITAK

Journal: Turkish Journal of Mathematics 2018 Vol.42 Issue 5, pp.2724-2734

Document Type: Article

Publication Date: 9/2018

Document Language: Turkish

Document ID (Org No.): 2000745794

Frequency: Bimonthly

eISSN: 1303-6149

pISSN: 1300-0098

Issues

Authors:

Congbian MA | PING LI | Youliang HOU

Publisher:

TUBITAK

Journal:

Turkish Journal of Mathematics 2018 Vol.42 Issue 5, pp.2724-2734

Document Type:

Article

Publication Date:

9/2018

Document Language:

Turkish

Document ID (Org No.):

2000745794

Frequency:

Bimonthly

eISSN:

1303-6149

pISSN:

1300-0098