集值Pramart诱导的集值测度

J4 ›› 2009, Vol. 47 ›› Issue (6): 1121-1124.

集值Pramart诱导的集值测度

李高明

武警工程学院数学教研室, 西安 710086

收稿日期:2009-01-12 出版日期:2009-11-26 发布日期:2010-01-07
通讯作者: 李高明 E-mail:Ligaomingwj@163.com.

Setvalued Measures Induced by Setvalued Pramart

LI Gaoming

Department of Mathematics, Engineering College of Armed Police Force, Xi’an 710086, China

Received:2009-01-12 Online:2009-11-26 Published:2010-01-07
Contact: LI Gaoming E-mail:Ligaomingwj@163.com.

摘要/Abstract

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, {An,n≥1}为F的上升子σ域族, 且A_∞=∨_n≥1A_n. 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.

关键词: 集值Pramart；集值鞅；集值测度

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 [WTHT]F[WT] , as well as A_∞=∨_n≥1A_n, the properties of setvalued Pramart, and setvalued measures induced by setvalued Pramart are discussed.

Key words: setvalued Pramart； setvalued martangle； setvalued measures

中图分类号:

O211.6

李高明. 集值Pramart诱导的集值测度[J]. J4, 2009, 47(6): 1121-1124.

LI Gaoming. Setvalued Measures Induced by Setvalued Pramart[J]. J4, 2009, 47(6): 1121-1124.

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