| 赋广义Orlicz范数Orlicz函数空间的局部一致凸性 |
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| 引用本文： | 段丽芬,左明霞,崔云安.赋广义Orlicz范数Orlicz函数空间的局部一致凸性[J].吉林大学学报(理学版),2014,52(2):219-223. |
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| 作者姓名： | 段丽芬 左明霞 崔云安 |
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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);波兰国家自然科学基金(批准号:201362236);吉林省教育厅“十二五”科技项目(批准号:吉教科合字[2014]第400号) |
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| 摘 要： | 利用Banach空间凸性理论研究赋广义Orlicz范数Orlicz函数空间的局部一致凸和弱局部一致凸问题,得到了Orlicz函数空间关于广义Orlicz范数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函数空间 局部一致凸 弱局部一致凸 |
| 收稿时间： | 2013-07-15 |
Locally Uniform Rotundity in Orlicz Function SpacesEquipped with the Generalized Orlicz Norm |
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| DUAN Li fen,ZUO Ming xia,CUI Yun an.Locally Uniform Rotundity in Orlicz Function SpacesEquipped with the Generalized Orlicz Norm[J].Journal of Jilin University: Sci Ed,2014,52(2):219-223. |
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| Authors: | DUAN Li fen ZUO Ming xia CUI Yun an |
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| Institution: | 1. College of Mathematics, Tonghua Teachers 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 convex theories of Banach spaces, the authors studied locally uniform rotundity and weakly locally uniform rotundity of the Orlicz function spaces equipped with the generalized Orlicz norm and obtained sufficient and necessary conditions so as to make them be locally uniform rotund and weakly locally uniform rotund. |
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| Keywords: | generalized Orlicz norm Orlicz function space locally uniform rotund weakly locally uniform rotund |
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