| Orlicz序列空间的k-端点和k-强端点 |
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| 引用本文： | 段丽芬,崔云安.Orlicz序列空间的k-端点和k-强端点[J].西南师范大学学报(自然科学版),2004,29(6):911-915. |
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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： | 国家自然科学基金资助项目(10171025). |
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| 摘 要： | 给出了赋Orlicz范数Orlicz序列空间中k端点和k强端点的充要条件,并据此得到了Orlicz序列空间k严 格凸和中点局部k一致凸的判别条件.
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| 关 键 词： | k-端点 k-强端点 Orlicz序列空间 |
| 文章编号： | 1000-5471(2004)06-0911-05 |
| 修稿时间： | 2003年12月17 |
k-Extreme Points and k-Strongly Extreme Points in Orlicz Sequence Spaces |
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| DUAN Li-fen,CUI Yun-an . Dept. of Mathematics,Tonghua Teachers' College,Tonghua Jilin ,China, . Applied Sciences College,Harbin University Science Technology,Harbin Heilongjiang ,China.k-Extreme Points and k-Strongly Extreme Points in Orlicz Sequence Spaces[J].Journal of Southwest China Normal University(Natural Science),2004,29(6):911-915. |
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| Authors: | DUAN Li-fen CUI Yun-an Dept of Mathematics Tonghua Teachers' College Tonghua Jilin China Applied Sciences College Harbin University Science Technology Harbin Heilongjiang China |
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| Institution: | DUAN Li-fen~1,CUI Yun-an~2 1. Dept. of Mathematics,Tonghua Teachers' College,Tonghua Jilin 134002,China, 2. Applied Sciences College,Harbin University Science Technology,Harbin Heilongjiang 150080,China |
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| Abstract: | This paper presents criteria of k-extreme points and k-strongly extreme points for the Orlicz sequence spaces equipped with the Orlicz norm. And by it the authors obtain both sufficient and necessary conditions for Orlicz sequence spaces equipped with the Orlicz norm to be k-strictly convex or middle point part k-uniform convex. |
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| Keywords: | k-extreme point k-strongly extreme point Orlicz sequence space |
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