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取值于p型Banach 空间随机变量列的收敛性
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.
作者姓名:李兵
作者单位:国防科技大学系统工程与数学系
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
收稿时间:1995/10/24 0:00:00

Almost Sure Convergence for Random Variables with Getting Value from p-type Banach Spaces
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.
Authors:Li Bing
Institution: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
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