| 赋广义Orlicz范数的Orlicz序列空间的端点和强端点 |
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| 引用本文： | 段丽芬,崔云安.赋广义Orlicz范数的Orlicz序列空间的端点和强端点[J].华东师范大学学报(自然科学版),2009,2009(1):53-60. |
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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,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： | 给出了由~$N$-函数生成的赋广义~Orlicz~范数的~Orlicz~序列空间中端点和强端点的判据, ~%并据此方便地得到了由~$N$-函数生成的~Orlicz~序列空间关于广义~Orlicz~范数严格凸和中点局部一致凸的条件.
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| 关 键 词： | 广义Orlicz范数 端点 强端点 Orlicz序列空间 广义Orlicz范数 端点 强端点 Orlicz序列空间 |
| 收稿时间： | 2008-5-14 |
| 修稿时间： | 2008-6-30 |
Extreme points and strongly extreme points in Orlicz sequence spaces equipped with the generalized Orlicz norm(Chinese) |
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| DUAN Li-fen,CUI Yun-an.Extreme points and strongly extreme points in Orlicz sequence spaces equipped with the generalized Orlicz norm(Chinese)[J].Journal of East China Normal University(Natural Science),2009,2009(1):53-60. |
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| Authors: | DUAN Li-fen CUI Yun-an |
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| Institution: | 1.Department of Mathematics;Tonghua Teachers College;Tonghua Jilin 134002;China;2.Applied Sciences College;Harbin Univ Sci Tech;Harbin 150080;China |
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| Abstract: | For the Orlicz sequence spaces generated by a N-function and equipped with the generalized Orlicz norm,criteria of extreme points and strongly extreme points were presented.Based on the criterias,both sufficient and necessary conditions were derived to make these spaces be convex and mid-point locally uniform convex. |
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| Keywords: | generalized Orlicz norm extreme point strongly extreme point Orlicz sequence space |
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