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集值转移测度的几种收敛性间的关系
引用本文:燕明辉. 集值转移测度的几种收敛性间的关系[J]. 哈尔滨师范大学自然科学学报, 2010, 0(6): 29-31
作者姓名:燕明辉
作者单位:大庆师范学院
摘    要:给出了集值测度的一些基本性质,讨论了集值转移测度几种收敛性间的重要关系.同时,给出了r-收敛的等价条件,即任给有界集KX,{d(x,Mn(ω,.),n≥1}在x∈K上一致收敛到d(x,M(ω,.)).

关 键 词:集值随机过程  集值测度  集值转移测度  收敛性  Banach空间  可测空间

Relations of Several Convergences of Set-valued Shift Measures
Yan Minghui. Relations of Several Convergences of Set-valued Shift Measures[J]. Natural Science Journal of Harbin Normal University, 2010, 0(6): 29-31
Authors:Yan Minghui
Affiliation:Yan Minghui(Daqing Normal University)
Abstract:In this paper,some basic properties of these set-valued shift measures are given. The importangt relations of several convergences among mutivalued shift measures are discussed. The same time,The equivalent condition r-convergence,It was each bounded sets KX,{d(x,Mn(ω,·),n≥1)} under x∈k→d(x,M(ω,·)).
Keywords:Set-valued stochastic process  Set-valued measure  Set-valued shift measure convergence  Banach space  Measure space
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