摘要
本文研究了无限直和空间E(χ)中的距离反投影的单值性.利用等距嵌入的思想方法,得到了无限直和空间E(χ)中弱紧集M上距离反投影是单值点的稠密性结果,推广了Zhivkow及Stechkin等人在自反局部一致凸的Banach空间获取的同类结论.
In this article, we mainly study the density of single farthest points for weakly compact set in infinite direct sums spaces E（x）. By using isometric embedding. Some results about metric projections and anti metric projections are obtained, which extend and improve the known results of Zhivkow and Stechkin.
出处
《数学杂志》
CSCD
北大核心
2009年第5期662-670,共9页
Journal of Mathematics
基金
江西省教育厅科研项目([2005]234)
关键词
无限直和空间E(χ)
距离投影
距离反投影
远达点
弱紧集
infinite direct sums spaces E（x） farthest points
weakly compact set metric projections
anti metric projectiops
