B值拟终鞅型序列与Banach空间的几何特征  

B-valued quasi-eventual-martingale-like sequences and geometric characters of Banach spaces

作　　者：万成高[1] 

机构地区：[1]湖北大学

出　　处：《数学研究》1995年第1期54-60,共7页Journal of Mathematical Study

摘　　要：设（Ω，，Ｐ）是概率空间，Ｂ是Ｂａｎａｃｈ空间．本文引入了一类新的鞅型序列──（Ｂ值）拟终鞅型序列，并研究了它们的收敛性与Ｂａｎａｃｈ空间的Ｒａｄｏｎ－Ｎｉｋｏｄｙｍ性，一致光滑性和ＵＭＤ性的依赖关系．Let(Ω,F,P) be a probability space and B a Banach space. In the paper, a new kind of martingale-like sequences─ B-valued quasi-eventual-martingale-like sequences is introdued and the relations between it and Radon-Nikodym Property, uniform smoothness as well as UMD property of Banach spases are studied.

关 键 词：鞅型序列 BANACH空间 几何特征 概率空间 收敛性 Radon-Nikodym性 一致光滑性 UMD性 

分 类 号：O211.6[理学—概率论与数理统计] O177.2[理学—数学]