| 关于连续度量选择的一些结果 |
| |
| 引用本文： | 陈志强.关于连续度量选择的一些结果[J].上海交通大学学报,1988(3). |
| |
| 作者姓名： | 陈志强 |
| |
| 作者单位： | 上海交通大学应用数学系 |
| |
| 摘 要： | 本文给出了度量投影有连续选择的一个充要条件,指出了存在连续度量选择的必要条件为存在弱半线性连续选择,在几乎Chebyshev空间的情形,证明了连续选择必为半线性的。
|
| 关 键 词： | 度量投影 度量选择 下半连续 几乎下半连续。 |
Some Results on Continuous Metric Selections |
| |
| Chen Zhiqiang.Some Results on Continuous Metric Selections[J].Journal of Shanghai Jiaotong University,1988(3). |
| |
| Authors: | Chen Zhiqiang |
| |
| Institution: | Chen Zhiqiang |
| |
| Abstract: | In this paper we give a sufficient and necessary condition for those metric
projections which admit a continuous selection.We obtain that under certain
condition a metric projection must have a weak semilinear continuous selection
when it admits a continuous selection.In the case of Chebyshev space,we prove
that continuous selection must be a semilinear one. |
| |
| Keywords: | metric projection metric sebection lower semicontinuous almost lower semicontinuous |
| 本文献已被 CNKI 等数据库收录！ |
