| 赋广义Orlicz范数的Orlicz空间的强端点 |
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| 引用本文： | 段丽芬,崔云安.赋广义Orlicz范数的Orlicz空间的强端点[J].浙江大学学报(理学版),2009,36(1):6-11. |
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| 作者姓名： | 段丽芬 崔云安 |
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| 作者单位： | 1. 通化师范学院,数学系,吉林,通化,134002
2. 哈尔滨理工大学,应用科学学院,黑龙江,哈尔滨,150080 |
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| 基金项目： | 国家自然科学基金，吉林省教育厅科研项目 |
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| 摘 要： | 给出了赋广义Orlicz范数的Orlicz函数空间的强端点的判别准则，并据此得到了Orlicz函数空间关于广义Orlicz范数中点局部一致凸的条件．
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| 关 键 词： | 广义Orlicz范数 Orlicz空间 强端点 中点局部一致凸 |
Strongly extreme points in Orlicz space equipped with the generalized Orlicz norm. |
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| DUAN Li-fen,CUI Yu-nan.Strongly extreme points in Orlicz space equipped with the generalized Orlicz norm.[J].Journal of Zhejiang University(Sciences Edition),2009,36(1):6-11. |
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| Authors: | DUAN Li-fen CUI Yu-nan |
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| Institution: | 1.Department of Mathematics;Tonghua Teachers College;Tonghua 134002;Jilin Province;China;2.Applied Sciences College;Harbin Institute of Technology;Harbin 150080;China |
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| Abstract: | The criterion for strongly extreme points in the Orlicz function space with generalized Orlicz norm is given.And a sufficient and necessary condition is obtained for the Orlicz function space equipped with the generalized Orlicz norm to be mid-point locally uniformly rotund. |
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| Keywords: | generalized Orlicz norm Orlicz space strongly extreme point mid-point locally uniformly rotund |
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