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| 弱紧局部一致凸空间中的度量投影 | |
| 引用本文： | 程燕.弱紧局部一致凸空间中的度量投影[J].大学数学,1999(1). |
| 作者姓名： | 程燕 |
| 作者单位： | 合肥炮兵学院数学教研室 |
| 摘 要： | 本文研究了弱紧局部一致凸空间中度量投影的弱连续性，将Ｂ．Ｂ．Ｐａｎｄａ和Ｏ．Ｐ．Ｋａｐｏｏｒ的相应结论推广到更一般的弱紧局部一致凸空间．最后给出了局部一致凸点的一个必要条件． |
| 关 键 词： | 弱紧局部一致凸空间 弱逼近紧集 Chebyshev集 太阳集 弱上半连续 局部一致凸点 |
The Metric Projections in Weakly Compact Local Uniform Convex Space |
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| Cheng Yan.The Metric Projections in Weakly Compact Local Uniform Convex Space[J].College Mathematics,1999(1). | |
| Authors: | Cheng Yan |
| Abstract: | This paper is devoted to the study of the weakly continuity of metric projections in weakly compact local uniform convex space, and has popularized some conclusions drawn by B.B. Panda and O.P. Kapoor to weakly compact local uniform convex space. Lastly, it presents a necessary condition for local uniform convex point. |
| Keywords: | weakly compact local uniform convex space weakly approximation compact set Chebyshev set sun set weakly upper semicontinuity local uniform convex point |
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