| Lorentz序列空间的装球问题 |
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| 引用本文： | 叶以宁,张波.Lorentz序列空间的装球问题[J].数学学报,1994,37(5):611-620. |
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| 作者姓名： | 叶以宁 张波 |
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| 作者单位： | 哈尔滨科技大学数学系，中科院数学所 |
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| 摘 要： | Ｂａｎａｃｈ空间中装球问题的研究，近四十年来已取得了令人瞩目的发展。Ｂａｎａｃｈ空间的装球值的范围已经确定，Ｌ＿ｐ空间及Ｏｒｌｉｃｚ序列空间Ｉ＿Ｍ等许多经典Ｂａｎａｃｈ空间装球值已经找到．本文研究又一类经典Ｂａｎａｃｈ空间──Ｌｏｒｅｎｔｚ序列空间的装球问题，给出了Ｌｏｒｅｎｔｚ序列空间的装球值。
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| 关 键 词： | Lorentz序列空间，装球值 |
| 收稿时间： | 1992-12-15 |
Pecking Spheres in Lorentz Sequence Spaces |
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| Ye Yining.Pecking Spheres in Lorentz Sequence Spaces[J].Acta Mathematica Sinica,1994,37(5):611-620. |
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| Authors: | Ye Yining |
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| Institution: | Ye Yining(Department of Applied Mathematics,Harbin Science and Technology University,Harbin 150080, China)Zhang Bo (Institute of Mathematics,Academia Sinica,Beijing 100080,China) |
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| Abstract: | In the last 40 years,the research that packing spheres in Banach spaces have devel-oped greatly,The range of values for packing spheres in Banach spaces have been determinined.Many of the values for classical Banach spaces,such as L_p spaces and orlicz sepuence spaces l_MBanach spaces──Lorentz sequence spaces are discussed and the value of packing spheres in this kind of spaces is provided. |
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| Keywords: | Lorentz sequence space value of packing sphere |
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