| 自反B空间中集值增过程的对偶投影 |
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| 引用本文： | 聂赞坎,张文修.自反B空间中集值增过程的对偶投影[J].数学学报,1996,39(3):419-429. |
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| 作者姓名： | 聂赞坎 张文修 |
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| 作者单位： | 西安交通大学理学院应用数学研究中心 |
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| 摘 要： | 假定Ａ是以自反Ｂａｎａｃｈ空间中弱紧凸集为值的集值增过程，本文研究了非负有界可测过程关于Ａ的积分以及Ａ在乘积可测空间上生成的集值测度，证明了每个可积集值增过程存在唯一对偶可选（可料）投影．
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| 关 键 词： | 集值增过程，集值测度，对偶可选（可料）投影 |
| 收稿时间： | 1994-3-26 |
| 修稿时间： | 1995-8-21 |
Dual Projections of Multivalued Increasing Processes Valued in a Reflexive Banach Space |
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| Nie Zankan, Zhang Wenxiu.Dual Projections of Multivalued Increasing Processes Valued in a Reflexive Banach Space[J].Acta Mathematica Sinica,1996,39(3):419-429. |
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| Authors: | Nie Zankan Zhang Wenxiu |
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| Institution: | Nie Zankan; Zhang Wenxiu(Research Centre for Applied Mathematics, Science of School, Xi'an Jiaotong University, Xi'an 710049 China) |
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| Abstract: | Let A be a multivalued increasing process valued in a separable reflexive Banach space. In this paper we study stochastic integrals of nonnegative bounded measurable processes with respect to A and measure generated by A on product measurable space. It is proved that every integrable multivalued increasing process edests unique dual optional (predictable)projection. |
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| Keywords: | multivalued increasing process set valued measuret dual optinal (predictable) projection |
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