| 赋广义Orlicz范数Orlicz序列空间的局部一致凸性 |
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| 引用本文： | 程亚焕,段丽芬,左明霞.赋广义Orlicz范数Orlicz序列空间的局部一致凸性[J].吉林大学学报(理学版),2015,53(2):224-228. |
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| 作者姓名： | 程亚焕 段丽芬 左明霞 |
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| 作者单位： | 1. 通化师范学院 数学学院, 吉林 通化 134002； 2. 哈尔滨理工大学 应用科学学院, 哈尔滨 150080 |
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| 基金项目： | 国家自然科学基金(批准号:11226127);吉林省教育厅“十二五”科技项目(吉教科合字[2014]第400号);黑龙江省教育厅科研项目(批准号:12531137) |
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| 摘 要： | 利用序列Banach空间中相关序列的特殊技巧研究Orlicz序列空间局部一致凸和弱局部一致凸问题,得到了赋广义Orlicz范数Orlicz序列空间局部一致凸和弱局部一致凸的条件.
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| 关 键 词： | 广义Orlicz范数 Orlicz序列空间 局部一致凸 弱局部一致凸 |
| 收稿时间： | 2014-08-06 |
Locally Uniform Rotundity in Orlicz Sequence SpacesEndowed with the Generalized Orlicz Norm |
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| CHENG Yahuan
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DUAN Lifen
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ZUO Mingxia.Locally Uniform Rotundity in Orlicz Sequence SpacesEndowed with the Generalized Orlicz Norm[J].Journal of Jilin University: Sci Ed,2015,53(2):224-228. |
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| Authors: | CHENG Yahuan DUAN Lifen ZUO Mingxia |
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| Institution: | 1. School of Mathematics, Tonghua Normal University, Tonghua 134002, Jilin Province, China;2. College of Applied Sciences, Harbin University of Science and Technology, Harbin 150080, China |
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| Abstract: | Using special techniques that are related to sequence in sequence Banach spaces, the authors studied locally uniform rotundity and weakly locally uniform rotundity of the Orlicz sequence spaces, presenting sufficient and necessary conditions for the Orlicz sequence spaces endowed with the generalized Orlicz norm to make them be locally uniform rotund and weakly locally uniform rotund. |
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| Keywords: | generalized Orlicz norm Orlicz sequence space locally uniform rotund weakly locally uniform rotund |
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