| 一个矢值序列赋值收敛定理 |
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| 引用本文： | 王富彬,金鸿章,李容录.一个矢值序列赋值收敛定理[J].黑龙江大学自然科学学报,2009,26(3). |
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| 作者姓名： | 王富彬 金鸿章 李容录 |
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| 作者单位： | 1. 哈尔滨工程大学自动化学院,哈尔滨,150001
2. 哈尔滨工业大学理学院,哈尔滨,150001 |
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| 基金项目： | 国家自然科学基金资助项目，黑龙江省博士后经费资助项目 |
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| 摘 要： | 对于一类经典的矢值序列空间,引入一类重要子集,它包括该序列空间的全部全有界集和许多非全有界集.得到该集族的一些重要性质,获得了一个矢值序列赋值收敛定理,从而揭示了映射级数矢值序列赋值收敛的更强内涵.结论完全去掉了通常对映射的线性限制,应用前景扩大.
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| 关 键 词： | 一致变差耗尽 一致消失 序列对偶空间 |
A vector-valued sequential-evaluation convergence theorem |
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| WANG Fu-bin,JIN Hong-zhang,LI Rong-lu.A vector-valued sequential-evaluation convergence theorem[J].Journal of Natural Science of Heilongjiang University,2009,26(3). |
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| Authors: | WANG Fu-bin JIN Hong-zhang LI Rong-lu |
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| Institution: | WANG Fu-bin1,JIN Hong-zhang1,LI Rong-lu2(1.Automation College,Harbin Engineering University,Harbin 150001,China,2.College of Science,Harbin Institute of Technology,China) |
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| Abstract: | For a type of classic vector-valued sequence space,a class of important subsets is introduced.It includes all totally bounded sets and many sets which are not totally bounded in the sequence space.Some important properties of the subset family have been found.A vector-valued sequential-evaluation convergence theorem is obtained,from which stronger intrinsic meaning of vector-valued sequential-evaluation convergence of mapping series is promulgated.Conclusion completely drop the linearity restriction forced ... |
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| Keywords: | uniformly variational exhaustive uniformly vanishing sequential dual space |
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