| 局部凸空间的k一致圆形性 |
| |
| 引用本文： | 李扬荣.局部凸空间的k一致圆形性[J].西南师范大学学报(自然科学版),1993,18(1):10-14. |
| |
| 作者姓名： | 李扬荣 |
| |
| 作者单位： | 西南师范大学数学系 重庆630715 |
| |
| 摘 要： | 在局部凸空间中引进了k一致圆形(kUR),拓扑k一致圆形(T-kUR)的概念;证明了kUR空间的递推性和在商空间上的遗传性;还证明了有界完备的T-kUR空间是半自反的.
|
| 关 键 词： | 一致凸 k一致圆形 局部凸空间 |
k-UNIFORMLY ROUND PROPERTY ON A LOCALLY CONVEX SPACE |
| |
| Li Yangrong.k-UNIFORMLY ROUND PROPERTY ON A LOCALLY CONVEX SPACE[J].Journal of Southwest China Normal University(Natural Science),1993,18(1):10-14. |
| |
| Authors: | Li Yangrong |
| |
| Abstract: | The definitions of k-uniformly round property (kUR) and tpoplogical fc-uniformly round property (T-kUR) on a locally convex space were given. The transitivities in kUR spaces and in their quotient spaces were proved. It is also proved that a bounded complete T-kUR space is half-reflexive. |
| |
| Keywords: | uniformly convex topological uniformly convex kUR T-kUR |
| 本文献已被 CNKI 维普 等数据库收录！ |
