| 抽象对偶系统中的Orlicz-Pettis型定理 |
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| 引用本文： | 顾娟,刘照升,周永芳,徐秀艳.抽象对偶系统中的Orlicz-Pettis型定理[J].数学的实践与认识,2010,40(20). |
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| 作者姓名： | 顾娟 刘照升 周永芳 徐秀艳 |
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| 基金项目： | 黑龙江省教育厅科学技术研究项目，黑龙江科技学院引进高层次人才科研启动基金项目 |
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| 摘 要： | 为深入探讨绝对收敛级数的性质,利用子级数收敛和绝对收敛之间的关系,得到了抽象对偶系统(E,F)中最强的Orlicz-Pettis拓扑以及产生该拓扑的最大映射集族Φ的表示.
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| 关 键 词： | Orlicz-Pettis拓扑 本性紧 抽象对偶系统 |
The Orlicz-Pettis Theorem in Abstract Duality Pair |
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| GU Juan,LIU Zhao-sheng,ZHOU Yong-fang,XU Xiu-yan.The Orlicz-Pettis Theorem in Abstract Duality Pair[J].Mathematics in Practice and Theory,2010,40(20). |
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| Authors: | GU Juan LIU Zhao-sheng ZHOU Yong-fang XU Xiu-yan |
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| Abstract: | In order to study the characteristic of absolutely convergent series,this paper uses the relationship between subseries convergent and absolutely convergent,the strongest orlics-pettis topology and the largest mappings familyφwhich yielded this topology in abstract duality pair(E,F) are obtained. |
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| Keywords: | Orlicz-Pettis topology essentially compact abstract duality pair |
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