A. S. Convergence of Two-Parameter Banach Space Valued Martingales and the Radon-Nikodym Property of Banach Spaces

被引：0

作者：

Shixin Gan Department of Mathematics Wuhan University Wuhan P R China ^{[430072
]}

机构：

来源：

ActaMathematicaSinica(EnglishSeries) | 1999年 / 15卷 / 02期

关键词：

Two-parameter Banach space valued martingale; A; S; convergence; Radon-Nikodym property; F4; condition; Local F4 condition;

D O I：

暂无

中图分类号：

O177.2 [巴拿赫空间及其线性算子理论];

学科分类号：

070104 ;

摘要：

<正> In this paper, we prove that under the F4 condition, any L log+ L bounded two-parameterBanach space valued martingale converges almost surely to an integrable Banach space valued randomvariable if and only if the Banach space has the Radon-Nikodym property. We further prove that theabove conclusion remains true if the F4 condition is replaced by the weaker local F4 condition.

引用

页码：187 / 196

页数：10