| 一类算子级数序列赋值收敛性 |
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| 引用本文： | 孔祥华,王富彬.一类算子级数序列赋值收敛性[J].哈尔滨理工大学学报,2011,16(4):114-117. |
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| 作者姓名： | 孔祥华 王富彬 |
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| 作者单位： | 1. 黑龙江建筑职业技术学院教务处,黑龙江哈尔滨,150025
2. 黑龙江建筑职业技术学院数学教学部,黑龙江哈尔滨,150025 |
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| 基金项目： | 黑龙江省自然科学基金(G200809A) |
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| 摘 要： | 对于一类经典的序列空间,引入了一类重要子集,并且该集族一些重要性质被找到.利用该集族性质,获得了一个算子级数序列赋值收敛定理.特别是,结论完全去掉了通常对映射的线性限制,其理论意义重大又大大增加了应用的可能性.
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| 关 键 词： | 序列赋值收敛 一致消失 全有界 |
Sequential Evaluation Convergence of a Class of Operator Series |
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| KONG Xiang-hua,WANG Fu-bin.Sequential Evaluation Convergence of a Class of Operator Series[J].Journal of Harbin University of Science and Technology,2011,16(4):114-117. |
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| Authors: | KONG Xiang-hua WANG Fu-bin |
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| Affiliation: | KONG Xiang-hua1,WANG Fu-bin2 (1.Admission Brochure of Heilongjiang College of Construction,Academic Affair Office,Harbin 150025,China,2.Admission Brochure of Heilongjiang College of Construction,Gourse Department of Mathmatics,China) |
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| Abstract: | For a type of classic sequence space,this paper introduces a class of important subsets,and some important properties of the subset family have been found.By using the properties of the subset family,in this article a sequential evaluation convergence theorem of operator series is obtained.Especially,this article completely drop the linearity restriction forced on the mappings as usual.It is not only very important in theory but also increases much probability of application. |
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| Keywords: | sequential-evaluation convergence uniformly vanishing totally bounded |
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