有限维Banach空间鞅型序列关系的一个证明方法  

A proof of relationship of martingale-like sequences valued in finite dimensional Banach-space

作　　者：王春勇[1] 何希勤[1] 

机构地区：[1]辽宁科技大学理学院,辽宁鞍山114051

出　　处：《辽宁科技大学学报》2009年第5期505-508,共4页Journal of University of Science and Technology Liaoning

摘　　要：对文献《鞅与Banach空间几何学》中有限维Banach空间鞅型序列关系的定理给出了详细地证明,并且利用此证明思路得到了任意无穷维Banach空间上渐近鞅不是依概极限鞅的反例,对比该文献,本文的方法更为简洁易懂。A detailed proof of the theorem in the Martingale and Banach-space geometry about the relation-ship of martingale-like sequences valued in finite dimensional Banach-space was given. The counter example of a Banach-space valued amart that is not a game fairer with time in arbitrary infinite dimensional Banach-space, was presented by using the method mentioned. Compared with the literature, our method is more concise and understandable.

关 键 词：鞅型序列 渐近鞅 依概极限鞅 

分 类 号：O211.4[理学—概率论与数理统计]