| 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] |
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| 取值于p型Banach 空间随机变量列的收敛性 |
| 李兵 |
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(国防科技大学 系统工程与数学系 湖南 长沙 410073)
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| 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: |
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| Almost Sure Convergence for Random Variables with Getting Value from p-type Banach Spaces |
| Li Bing |
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(Department of Systems Engineering and Applied Mathematics, NUDT, Changsha, 410073)
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| 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 |
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