引用本文: | 李兵.取值于p型Banach 空间随机变量列的收敛性[J].国防科技大学学报,1997,19(1):104-109.[点击复制] |
Li Bing.Almost Sure Convergence for Random Variables with Getting Value from p-type Banach Spaces[J].Journal of National University of Defense Technology,1997,19(1):104-109[点击复制] |
|
|
|
本文已被:浏览 5276次 下载 5468次 |
取值于p型Banach 空间随机变量列的收敛性 |
李兵 |
(国防科技大学 系统工程与数学系 湖南 长沙 410073)
|
摘要: |
本文将W. F. Stout[1]关于实值随机变量列的收敛性的一些结果, 推广到了p 型Banach 空间值情形上, 得到了刻划p 型Banach 空间的二个充分必要条件及二个必要条件。 |
关键词: p 型Bananh 空间, 几乎处处收敛 |
DOI: |
投稿日期:1995-10-24 |
基金项目: |
|
Almost Sure Convergence for Random Variables with Getting Value from p-type Banach Spaces |
Li Bing |
(Department of Systems Engineering and Applied Mathematics, NUDT, Changsha, 410073)
|
Abstract: |
In this paper, we generalize some results of W. F. Stout about almost sure convergence for real-valued random variables, and obtain some results about almost sure convergence for random variables with getting value from p-type Banach spaces, that is, we obtain two sufficent and necessary conditions and two necessary conditions for p-type Banach spaces. |
Keywords: p-type Banach space, almost sure convergence |
|
|