| 正则局部Lipschitz函数可微性的几何条件 |
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| 引用本文： | 史树中,王炳武.正则局部Lipschitz函数可微性的几何条件[J].数学学报,1998,41(2):307-312. |
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| 作者姓名： | 史树中 王炳武 |
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| 作者单位： | 南开数学研究所 |
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| 摘 要： | Ｂａｎａｃｈ空间的范数可微性可用它的单位球面来刻画．本文把这些范数可微性的几何条件推广到正则局部Ｌｉｐｓｃｈｉｔｚ函数情形．
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| 关 键 词： | 几何条件 局部Lipschitz函数，正则性 |
| 收稿时间： | 1996-9-3 |
Geometric Conditions of Differentiability for a Regular Locally Lipschitz Function |
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| Shi Shuzhong,Wang Bingwu.Geometric Conditions of Differentiability for a Regular Locally Lipschitz Function[J].Acta Mathematica Sinica,1998,41(2):307-312. |
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| Authors: | Shi Shuzhong Wang Bingwu |
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| Institution: | Shi Shuzhong Wang Bingwu ( Institute of Mathematics, Tianjin 300071, China ) |
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| Abstract: | The differentiability of a norm of a Banach space may be characterized by its unit sphere. This paper generalizes these geometric conditions of norm’s differentiability to the case of a regular locally Lipschitz function. |
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| Keywords: | Geometric condition Gteaux and Fréchet differentiability Locally Lipschitz function Regularity |
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