Martingales in Banach lattices, II

被引：0

作者：

Hailegebriel E. Gessesse

Vladimir G. Troitsky

机构：

[1] University of Alberta,Department of Mathematical and Statistical Sciences

来源：

Positivity | 2011年 / 15卷

关键词：

Martingale; Filtration; Banach lattice; 60G48; 46B42;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

This note is a follow-up to Troitsky (Positivity 9(3):437–456, 2005). We provide several sufficient conditions for the space M of bounded martingale on a Banach lattice F to be a Banach lattice itself. We also present examples in which M is not a Banach lattice. It is shown that if F is a KB-space and the filtration is dense then F is a projection band in M.

引用

页码：49 / 55

页数：6