| 赋Orlicz范数的Orlicz序列空间的接近一致凸性 |
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| 引用本文： | 孟晨晖,崔云安,王廷辅.赋Orlicz范数的Orlicz序列空间的接近一致凸性[J].数学季刊,2000,15(1):1-8. |
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| 作者姓名： | 孟晨晖 崔云安 王廷辅 |
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| 作者单位： | [1]哈尔滨工业大学数学系 [2]哈尔滨理工大学数学系 |
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| 基金项目： | supported by NSF and ECF of CHINA!(18971020)，NSF of Heilongjiang Province!(A9702) |
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| 摘 要： | 本文给出了赋Ｏｒｌｉｃｚ序列空间的Ｈ点的充分必要条件，进而得至了赋Ｏｒｌｉｃｚ范数的Ｏｒｌｉｃｚ序列空间具有（Ｈ）性质的判据．同时给出了赋Ｏｒｌｉｃｚ范数的Ｏｒｌｉｃｚ序列空间的一致ＵＫＫ和接近一致凸性的等价条件。
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| 关 键 词： | Orlicz空间 UKK性质 接近一致凸性 |
Nearly
Uniformly Convex in Orlicz Sequence Spaces
Equipped with Orlicz Norm |
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| MENG Chen-hui, CUI Yun-an, WANG Ting-fu.Nearly
Uniformly Convex in Orlicz Sequence Spaces
Equipped with Orlicz Norm[J].Chinese Quarterly Journal of Mathematics,2000,15(1):1-8. |
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| Authors: | MENG Chen-hui CUI Yun-an WANG Ting-fu |
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| Abstract: | In this paper, criterion that a point in the general Orlicz spaces equipped with the Orlicz norm is an H - point was given. Meantal, we give hath necessary and sufficient condition that Orlicz sequence space equipped with Orlicz norm have the Kedec-Klee Property, Uniform Kedec- Klee Property and nearly uniformly convex. |
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| Keywords: | nearly uniformly convex uniform Kedec-Klee property Kedec-Klee Property Orlicz sequence spaces |
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