| 关于强序连续线性算子的标注 |
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| 引用本文： | 汪正玉,陈滋利,孟院花.关于强序连续线性算子的标注[J].宜宾学院学报,2012(6):21-22. |
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| 作者姓名： | 汪正玉 陈滋利 孟院花 |
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| 作者单位： | 1. 西南交通大学数学学院,四川成都,610031
2. 宜宾学院数学学院,四川宜宾,644000 |
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| 摘 要： | 首先给出强序连续线性算子的基本性质,然后肯定了强序连续线性算子在序有界范数,正则范数以及算子范数下的极限仍是强序连续的结论.
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| 关 键 词： | 强序连续算子 赋范极限 强序收敛 弱序收敛 |
Remarks on Strong Order Continuous Operators |
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| Authors: | WANG Zheng-yu CHEN Zi-li MENG Yuan-hua |
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| Institution: | 1.School of Mathematics,Southwest Jiaotong University,Chengdu 610031,China;2.School of Mathematics,Yibin University,Yibin 644000,China) |
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| Abstract: | The basic properties of strongly order continuous operators is get,then the conclusion that the operator norm limits of the strongly order continuous order bounded operators are still strongly order continuous with respect to the order bound norm,regular norm and operator norm respectively,is confirmed. |
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| Keywords: | strong order continuous operator norm limits strong order convergence weak order convergence |
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