| L~p空间的另一组特征不等式 |
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| 引用本文： | 徐宗本,张茁生.L~p空间的另一组特征不等式[J].数学学报,1994,37(4):433-439. |
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| 作者姓名： | 徐宗本 张茁生 |
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| 作者单位： | 西安交通大学应用数学研究中心!西安710049 |
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| 摘 要： | 对应于文［１］所建立的Ｌｐ空间的二次特征不等式，本文建立了Ｌｐ，空间的ｐ次特征不等式，该不等式将Ｈｉｌｂｅｒｔ空间平行四边形律和极化等式推广到了Ｌｐ（１＜ ｐ＜ ∞） Ｂａｎａｃｈ空间．
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| 关 键 词： | 特征不等式 对偶映象 Lp空间 |
| 收稿时间： | 1991-3-25 |
Another Set of Characteristic Inequalities of L~p Banach Spaces |
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| Xu Zongben and Zhang Zhuosheng.Another Set of Characteristic Inequalities of L~p Banach Spaces[J].Acta Mathematica Sinica,1994,37(4):433-439. |
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| Authors: | Xu Zongben and Zhang Zhuosheng |
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| Institution: | Xu Zongben and Zhang Zhuosheng (Research Center for Applied Mathematics, Xi'an Jiaotong University Xi'an 710049, China) |
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| Abstract: | As a complement of the Lp characteristic inequalities of order 2 established in 1], another set of Lp characteristic inequalities of order p is established. The results generalize the well-konwn parallelogram law and the polarization identity occurring in Hilbert spaces. |
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| Keywords: | characteristic inequalities duality map Lp spaces |
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