| 切片与Banach空间的凸性,光滑性 |
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| 引用本文： | 方习年,王建华.切片与Banach空间的凸性,光滑性[J].数学杂志,1999,19(3):293-298. |
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| 作者姓名： | 方习年 王建华 |
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| 作者单位： | [1]安徽机电学院 [2]安徽师范大学 |
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| 摘 要： | 本文用单位球的切片统一且简捷地处理Ｂａｎａｃｈ空间的（局部）Ｋ一致凸、近一致凸、近一致光滑性；定义Ｂａｎａｃｈ空间的（局部）Ｋ一致光滑、局部近一致凸、局部近一致光滑、近－强凸、近－强光滑性等概念，并讨论上述凸性，光滑性的关系及性能。
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| 关 键 词： | K一致光滑 切片 巴拿赫空间 光滑性 凸性 |
SLICE AND CONVEXITY, SMOOTHENESS OF BANACH SPACES |
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| Fang Xinian.SLICE AND CONVEXITY, SMOOTHENESS OF BANACH SPACES[J].Journal of Mathematics,1999,19(3):293-298. |
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| Authors: | Fang Xinian |
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| Abstract: | In this paper, using slice of unit we uniformly and simply treat the concepts of (locally) K uniformly convexity, near uniformly convexity and near uniformly smoothness of Banach spaces, and define (locally) K uniformly smoothness, locally near uniformly convexity, near strongly convexity and near strongly smoothness of Banach spaces. We discuss the relationship among them and their properties. |
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| Keywords: | K uniformly smooth locally near uniformly smooth near strongly smooth (H) property (S) property |
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