| 近严格凸与最佳逼近 |
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| 引用本文： | 南朝勋,宋寿柏.近严格凸与最佳逼近[J].数学研究与评论,1997,17(4):479-488. |
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| 作者姓名： | 南朝勋 宋寿柏 |
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| 作者单位： | 安徽师范大学数学系;安徽师范大学数学系 |
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| 摘 要： | 本文研究近严格凸与最佳逼近的关系．证明了Ｂａｎａｃｈ空间Ｘ是近严格凸的当且仅当Ｘ的每个子空间是紧－半－切比晓夫空间．
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| 关 键 词： | 近严格凸 最佳逼近 巴拿赫空间 |
| 收稿时间： | 1994/9/13 0:00:00 |
Nearly Strict Convexity and Best Approximation |
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| Nan Chaoxun and Song Shoubai.Nearly Strict Convexity and Best Approximation[J].Journal of Mathematical Research and Exposition,1997,17(4):479-488. |
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| Authors: | Nan Chaoxun and Song Shoubai |
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| Institution: | Dept. of Math.; Anhui Normal University; Wuhu 241000;Dept. of Math.; Anhui Normal University; Wuhu 241000 |
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| Abstract: | In this paper, we study nearly strict convexity and the best approximation in nearly strictly convex spaces. We prove that a Banach space X is nearly strictly convex if and only if all of the subspaces of X are compact semi Chebyshev subspaces. We also show that Theorem 6 in 10] is false. |
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| Keywords: | nearly strict convex compact semi Chebyshev spaces nearly extreme points metric projection |
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