| 算子概率范数与有界算子的连续性定理 |
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| 引用本文： | 肖建中,朱杏华. 算子概率范数与有界算子的连续性定理[J]. 南都学坛, 1996, 0(6) |
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| 作者姓名： | 肖建中 朱杏华 |
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| 作者单位： | 江苏盐城教育学院 |
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| 摘 要： | 应用线性算子的概率范数，证明了一般的ＰＮ空间上线性算子有界与连续的等价性，并进一步揭示这一等价关系的实质．
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| 关 键 词： | PN空间；概率范数；有界；连续 |
Probabilistic Norm of Operators and Continuity Theorem for Bounded Operators |
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| Xiao Jianzhong,Zhu Xinghua. Probabilistic Norm of Operators and Continuity Theorem for Bounded Operators[J]. Academic forum of nandu, 1996, 0(6) |
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| Authors: | Xiao Jianzhong Zhu Xinghua |
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| Affiliation: | Jiangsu Yancheng Educational Institute |
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| Abstract: | In this paper, by means of probabilistic norm of linear operators,the equivalence theorem for continuity and boundedness of linear operators on a PN space is proved and essential qualities of this equivalence is expounded too. |
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| Keywords: | PN space Probabilistic norm Bbundedness continuity |
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