| 集值Pramart诱导的集值测度 |
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| 引用本文： | 李高明. 集值Pramart诱导的集值测度[J]. 吉林大学学报(理学版), 2009, 47(6): 1121-1124 |
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| 作者姓名： | 李高明 |
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| 作者单位： | 武警工程学院,数学教研室,西安,710086 |
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| 摘 要： | 假设（X,||·||）为可分的Banach空间, X*为其对偶空间, X*可分. 设(Ω,F ,P)为完备的概率空间, {An,n≥1}为F的上升子σ 域族, 且A∞=∨n≥1An. 在X*可分的条件下讨论了集值Pramart的一些性质, 并研究了集值Pramart诱导的集值测度及其性质.
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| 关 键 词： | 集值Pramart 集值鞅 集值测度 |
| 收稿时间： | 2009-01-12 |
Set-valued Measures Induced by Set-valued Pramart |
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| LI Gao-ming. Set-valued Measures Induced by Set-valued Pramart[J]. Journal of Jilin University: Sci Ed, 2009, 47(6): 1121-1124 |
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| Authors: | LI Gao-ming |
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| Affiliation: | Department of Mathematics, Engineering College of Armed Police Force, Xi’an 710086, China |
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| Abstract: | Let (X,‖·‖) be a real separable Banach space with the dual X~* , and (Ω,F,P) an complete probability space, further, {A_n,n≥1} a increase sub σ-fields filtration of F, as well as A_∞ = ∨_(n≥1)A_n , theproperties of set-valued Pramart, and set-valued measures induced by set-valued Pramart are discussed. |
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| Keywords: | set-valued Pramart set-valued martangle set-valued measures |
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