| Orlicz空间的若干紧一致凸性和k-drop凸性 |
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| 引用本文： | 张立娜,苏雅拉图.Orlicz空间的若干紧一致凸性和k-drop凸性[J].应用泛函分析学报,2009,11(3):277-283. |
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| 作者姓名： | 张立娜 苏雅拉图 |
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| 作者单位： | 1. 内蒙古鄂尔多斯市,第二高级中学,鄂尔多斯市,071000
2. 内蒙古师范大学,数学科学学院,呼和浩特,010022 |
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| 基金项目： | 内蒙古自然科学基金资助项目 |
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| 摘 要： | 给出赋Luxemburg范数的Orlicz函数空间的紧一致凸、弱紧一致凸、紧局部一致凸、弱紧局部一致凸和k-drop凸的判据,并且据此得到在Orlicz函数空间中这些凸性的等价关系.
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| 关 键 词： | Orlicz空间 （弱）紧一致凸 （弱）紧局部一致凸 k-drop凸空间 |
Some Compact Uniformly Convexities and k-Drop Convexities in Orlicz Space |
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| ZHANG Li-na,Suyalatu.Some Compact Uniformly Convexities and k-Drop Convexities in Orlicz Space[J].Acta Analysis Functionalis Applicata,2009,11(3):277-283. |
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| Authors: | ZHANG Li-na Suyalatu |
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| Institution: | ZHANG Li-na, Suyalatu(1. Second High School of Ordos, Ordos 017000, China 2. College of Mathematics Science, Inner Mongolia Normal University, Huhhot 010022, China) |
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| Abstract: | We gives the criteria for some convexities of Orlicz space with Luxemburg norm,such as,compact uniformly convexity;weakly compact uniformly convexity;compact local uniformly convexity;weakly compact local uniformly convexity and k-drop convexity.And by it the equivalence of convexities in the Orlicz space are obained. |
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| Keywords: | Orlicz space compact uniformly convexity weakly compact uniformly convexity compact local uniformly convexity weakly compact local uniformly convexity k-drop convexity |
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