| Banach空间的凸性算子 |
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| 引用本文： | 黎永锦.Banach空间的凸性算子[J].中山大学学报(自然科学版),1996,35(4):18-21. |
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| 作者姓名： | 黎永锦 |
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| 作者单位： | 中山大学数学系 |
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| 基金项目： | 中山大学高等学术研究中心资助项目 |
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| 摘 要： | 定义了严格凸算子和光滑算子，证明了若Ｔ＊是严格凸算子，则Ｔ是光滑算子；若Ｔ＊是光滑算子，则Ｔ是严格凸算子
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| 关 键 词： | 严格凸算子，光滑算子，局部一致凸算子 |
The Convexity of Linear Operator on Banach Space |
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| Li Yongjin.The Convexity of Linear Operator on Banach Space[J].Acta Scientiarum Naturalium Universitatis Sunyatseni,1996,35(4):18-21. |
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| Authors: | Li Yongjin |
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| Institution: | Li YongjinDepartment of Mathematics,Zhongshan University,Guangzhou 510275 |
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| Abstract: | The strictly convex operator and smooth operator are defined, it is shown that if T * is smooth operator, T is strictly convex operator and if T * is strictly convex operator, T is smooth operator. |
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| Keywords: | strictly convex operator smooth operator locally uniformly convex operator |
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