| 关于局部完全凸和弱局部完全凸空间 |
| |
| 引用本文： | 张子厚.关于局部完全凸和弱局部完全凸空间[J].淮北煤炭师范学院学报(自然科学版),1992(4). |
| |
| 作者姓名： | 张子厚 |
| |
| 作者单位： | 安徽电大淮南分校 淮南，232001 |
| |
| 摘 要： | 本文引入了LFR和WLFR,它们分别是kR、FR、LkR和WLkR的推广;主要结论是:(1)若X是LFR且具有Bishop-Phelps性质,则X的每个有界闭的,绝对凸的子集是它强暴露点的闭凸包.(2)X是LUR当且仅当X是LFR且具有(WM)性质.
|
| 关 键 词： | 局部完全凸空间 弱局部完全凸空间 局部完全k凸空间 弱局部完全k凸空间 强暴露点 |
On the LFR and WLFR Spaces |
| |
| Zhang Zhihou.On the LFR and WLFR Spaces[J].Journal of Huaibei Coal Industry Teachers College(Natural Science edition),1992(4). |
| |
| Authors: | Zhang Zhihou |
| |
| Institution: | Anhui Huainan TV University; Huainan; 232001 |
| |
| Abstract: | In this paper. Locally fully convex space(LFR) and weak locally fully convex space(WLFR) are introduced. The main results are as follows:(1)If X is a LFR and has Bishop -Phelps property , then every closed , bounded , absolutely convex subset of X is the closed convex hull of its strongly exposed points.(2)X is LUR space if and only if X is LFR space and has(WM) property. |
| |
| Keywords: | locally fully convex space weak locally fully convex space locally fully k-convex space weak locally fully k-convex space strongly exposed point |
| 本文献已被 CNKI 等数据库收录！ |
