| 关于线性算子的概率范数与算子空间 |
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| 引用本文： | 方锦暄.关于线性算子的概率范数与算子空间[J].应用数学和力学,1999,20(10):1081-1086. |
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| 作者姓名： | 方锦暄 |
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| 作者单位： | 南京师范大学数学系, 南京 210097 |
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| 基金项目： | 江苏省教委自然科学基金!资助项目 (JW970 135 ) |
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| 摘 要： | 由于满足(PN-5)条件的PN空间(E,F)就是MangerPN空间(E,F,min),因此,肖建中等给出的关于PN空间上线性算子概率范数的结果有较大的局限性.本文中,在较一般的MengerPN空间上研究有关线性算子的概率范数和算子空间的问题,改进和推广了肖建中等的结果.
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| 关 键 词： | Menger概率赋范空间 线性算子的概率范数 算子空间 |
| 收稿时间： | 1997-12-12 |
| 修稿时间： | 1997-12-12 |
On Probabilistic Norm of a Linear Operators and Space of Operators |
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| Fang Jinxuan.On Probabilistic Norm of a Linear Operators and Space of Operators[J].Applied Mathematics and Mechanics,1999,20(10):1081-1086. |
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| Authors: | Fang Jinxuan |
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| Institution: | Department of Mathematics, Nanjing Normal University, Nanjing 210097, P R China |
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| Abstract: | Since the PN space (E, F) which satisfies condition (PN-5) is just a Menger PN-space (E, F, min), the results with regard to probabilistic norms of linear operators on PN-spaces obtained by Xiao Jianzhong have bigger limitations. In this paper, problems respecting pr obabilistic norms of linear operators and spaces of operators are studied on more general Menger PN spaces. The results presente dimprove and generalize the corresponding results by Xiao. |
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| Keywords: | probabilistic normed space probabilistic norm of a linear operator space of operators |
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