| Musielak-Orlicz序列空间的H性质 |
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| 引用本文： | 左明霞,崔云安.Musielak-Orlicz序列空间的H性质[J].黑龙江大学自然科学学报,2003,20(4):5-10. |
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| 作者姓名： | 左明霞 崔云安 |
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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 |
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| 基金项目： | Supposed by the National Natural Science Foundation of China(10251017) |
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| 摘 要： | H性质是Banach空间几何理论中的一个重要性质,H点是H性质的精细化、点态化.在经典Orlicz序列空间中,H点和H性质已被讨论过(见8]).给出了赋Orlicz范数和赋Luxemburg范数的Musielak-Orlicz序列空间中的H点的判别准则,作为推论,得到了Musielak-Orlicz序列空间在两种范数下具有H性质的充分必要条件.
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| 关 键 词： | Musielak-Orlicz序列空间 H点 H性质 |
H-property in Musielak-Orlicz sequence spaces |
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| ZUO Ming-xia,CUI Yun-an.H-property in Musielak-Orlicz sequence spaces[J].Journal of Natural Science of Heilongjiang University,2003,20(4):5-10. |
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| Authors: | ZUO Ming-xia CUI Yun-an |
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| Abstract: | H -property is an important property in the geometry of Banach space and H -point is precise and pointwise property of H -property. In classical Orlicz sequence spaces, H -point and H-property have been investigated (see 8]). Criteria of H -point in Musielak - Orlicz sequence spaces in the case of the Orlicz norm as well as the Luxemburg norm are given. As a corollary, the necessary and sufficient condition that Musielak -Orlicz sequence spaces for both norms have H -property is given. |
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| Keywords: | Musielak-Orlicz sequence spaces H-point H-property |
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