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．
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.
出处
《工科数学》
1999年第1期36-40,共5页
Journal of Mathematics For Technology
关键词
局部一致凸
弱连续性
投影
必要条件
空间
度量
推广
结论
一般
weakly compact local uniform convex space, weakly approximation compact set, Chebyshev set, sun set, weakly upper semicontinuity, local uniform convex point.
