| ALMOST PERIODICITY AND EQUICONTINUITY OF THE TOPOLOGICAL TRANSFORMATION GROUP |
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| 作者姓名： | Li Zhicong Li Juntao |
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| 作者单位： | [1]School of Science, Beijing University of Aeronautics and Astronautics, Beijing 100083, China. [2]College of Mathematics and Information Science, Henan Normal University, Henan 453007, China. |
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| 基金项目： | Supported by the NNSF of China（10371030）.The authors would like to express appreciation to Professor He Lianfa for his encouragement and valuable suggestions. |
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| 摘 要： | In this paper, a characterization of almost periodicity of topological transformation groups on uniform spaces is given. By searching the appropriate base for uniform structure, it is shown that the topological transformation group is topologically equivalent to an isometric one if it is uniformly equicontinuous.
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| 关 键 词： | 统一空间 同等连续性 周期性 统一结构 转化群 |
| 收稿时间： | 2005-08-29 |
Almost periodicity and equicontinuity of the topological transformation group |
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| Li Zhicong Li Juntao.ALMOST PERIODICITY AND EQUICONTINUITY OF THE TOPOLOGICAL TRANSFORMATION GROUP[J].Applied Mathematics A Journal of Chinese Universities,2006,21(4):467-472. |
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| Authors: | Zhicong Li Juntao Li |
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| Institution: | Li Zhicong Li Juntao School of Science,Beijing University of Aeronautics and Astronautics,Beijing 100083,China. College of Mathematics and Information Science,Henan Normal University,Henan 453007,China. |
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| Abstract: | In this paper, a characterization of almost periodicity of topological transformation groups on uniform spaces is given. By searching the appropriate base for uniform structure, it is shown that the topological transformation group is topologically equivalent to an isometric one if it is uniformly equicontinuous. |
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| Keywords: | uniform space topological transformation group equicontinuity almost periodicity compactly almost periodicity |
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