| 概率赋范空间上的连续线性算子空间的拓扑结构 |
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| 引用本文： | 章芸.概率赋范空间上的连续线性算子空间的拓扑结构[J].昆明理工大学学报(理工版),1989(6). |
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| 作者姓名： | 章芸 |
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| 作者单位： | 昆明工学院基础部 |
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| 摘 要： | 本文应用伪范族的方法研究了概率赋范空间上的连续线性算子空间的拓扑结构,给出了算子簇的逐点有界,概率拓扑有界及等度连续之间的一些关系.
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| 关 键 词： | 概率赋范空间 连续线性算子空间 伪范簇 概率拓扑 等度连续 |
Topological Structure of Space of Linear Continuous Operators Between Menger-Probabilistic Normed Spaces |
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| Zhang yun.Topological Structure of Space of Linear Continuous Operators Between Menger-Probabilistic Normed Spaces[J].Journal of Kunming University of Science and Technology(Natural Science Edition),1989(6). |
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| Authors: | Zhang yun |
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| Affiliation: | Depart ment of Basic Science |
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| Abstract: | In this paper, topological Structure of space of linear continuous operators betwecn Menger-Probabilistic Normed spaces, is studied by uti lizing the method of introducing pseudnorm family in this spqce. Some relations about pointwise boundness, probabilistical bonndness and equicontinuity of linear operators family are given in this paper,too. |
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| Keywords: | Probabilistic Normed Spaces Space of Linear Continuous Operators Pseudnorm family Probabilistic Topology Equicontinuity |
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