| 一类算子序列赋值绝对收敛定理 |
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| 引用本文： | 王富彬,李容录,钟书慧. 一类算子序列赋值绝对收敛定理[J]. 黑龙江大学自然科学学报, 2007, 24(2): 178-180 |
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| 作者姓名： | 王富彬 李容录 钟书慧 |
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| 作者单位： | 哈尔滨工业大学,数学系,黑龙江,哈尔滨,150001;黑龙江建筑职业技术学院,数学系,黑龙江,哈尔滨,150008;哈尔滨工业大学,数学系,黑龙江,哈尔滨,150001 |
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| 摘 要： | 对于一类算子序列空间,找到了这个算子序列空间的一个最大子集族,利用该子集族,获得了序列赋值绝对收敛的最强情形,而且给出基本收敛结果.
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| 关 键 词： | 序列赋值绝对收敛 逐点赋值绝对收敛 一致绝对耗尽 |
| 文章编号： | 1001-7011(2007)02-0178-03 |
| 修稿时间： | 2006-05-09 |
An absolute convergence theorem on evaluation of a type of operator sequence |
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| WANG Fu-bin,LI Rong-lu,ZHONG Shui-hui. An absolute convergence theorem on evaluation of a type of operator sequence[J]. Journal of Natural Science of Heilongjiang University, 2007, 24(2): 178-180 |
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| Authors: | WANG Fu-bin LI Rong-lu ZHONG Shui-hui |
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| Abstract: | Referring to a type of space of vector sequences and space of operator sequences,a biggest family of subsets of the space of operator sequences is found.From which,the strongest intrinsic meaning of sequential-evaluation uniformly absolute convergence is obtained,and basic convergence results are also established. |
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| Keywords: | sequential-evaluation absolutely convergent pointwise-evaluation absolutely convergent uniform absolutely exhaustive |
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