| 关于K—极凸Banach空间 |
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| 引用本文： | 何仁义.关于K—极凸Banach空间[J].纯粹数学与应用数学,1998,14(2):19-22. |
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| 作者姓名： | 何仁义 |
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| 作者单位： | 雁北师范学院 |
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| 摘 要： | 引进Ｋ－极凸Ｂａｎａｃｈ空间，证明了ＸＫ－极凸当且仅当Ｘ自反、Ｋ－严格凸且有（Ｈ）性质，得到了Ｋ－极凸空间的一些性质，并讨论了Ｋ－极凸与Ｋ－Ｋ－强光滑、Ｋ－一致凸及完全Ｋ－凸的关系。
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| 关 键 词： | K－极凸 K－严格凸 巴拿赫空间 |
ON K EXTREMELY CONVEX BANACH SPACES |
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| He Renyi.ON K EXTREMELY CONVEX BANACH SPACES[J].Pure and Applied Mathematics,1998,14(2):19-22. |
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| Authors: | He Renyi |
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| Abstract: | n this paper, we introduce the K extremely convex Banach spaces, and prove that X is K extremely convex if and only if X is reflexive, K strictly convex and has property (H), and obtain some properties of K extremely convex spaces. We also discuss the relations between K extremely convex and K strongly smooth, K uniformly rotund, fully K convex. |
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| Keywords: | K extremely convex K strictly convex reflexive property (H) |
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