| P型-凸性模估计定理的推广 |
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| 引用本文： | 王萍,陈丽丽.P型-凸性模估计定理的推广[J].哈尔滨理工大学学报,2007,12(4):120-122. |
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| 作者姓名： | 王萍 陈丽丽 |
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| 作者单位： | 哈尔滨理工大学,应用科学学院,黑龙江,哈尔滨,150080;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： | 黑龙江省自然科学基金(A0204) |
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| 摘 要： | 引入了P型-凸性模和P型-一致凸的概念,证明P型-一致凸的Banach空间是自反的,给出了一般Banach空间X中的P型-凸性模δX,p(ε)与凸性模δX,p(ε)之间的关系,并讨论了LP(X)空间的P型-凸性模与X的凸性模、P型-凸性模之间的关系.
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| 关 键 词： | 凸性模 P型-凸性模 LP空间 |
| 文章编号： | 1007-2683（2007）04-0120-03 |
| 收稿时间： | 2006-05-17 |
| 修稿时间： | 2006年5月17日 |
A Generalization for Estimation Theorem on Modulus of P- type Convexity |
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| WANG Ping,CHEN Li-li.A Generalization for Estimation Theorem on Modulus of P- type Convexity[J].Journal of Harbin University of Science and Technology,2007,12(4):120-122. |
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| Authors: | WANG Ping CHEN Li-li |
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| Abstract: | The concepts of modulus of P-type convexity and P-type uniform convexity are introduced.It is proved that every P-type uniform roturnd Banach space is reflexive.Relations between modulus of P-type convexity and modulus of convexity are given.Moreover,the relations among modulus of P-type convexity for LP(X) space,modulus of convexity and modulus of P-type convexity for X are discussed. |
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| Keywords: | modulus of convexity modulus of P-type convexity LP space |
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