| 由共轭映象刻划共轭空间的特征 |
| |
| 引用本文： | 王嘉平. 由共轭映象刻划共轭空间的特征[J]. 上海师范大学学报(自然科学版), 1989, 0(1) |
| |
| 作者姓名： | 王嘉平 |
| |
| 作者单位： | 华东师范大学数学系 |
| |
| 摘 要： | 本文利用共轭映象给出了Banach空间线性等距(或线性同胚)于某个共轭空间的一些特征。
|
| 关 键 词： | 共轭映象 光滑 非常光滑 半内积 线性等距 线性同胚 |
Duality Mappings and Characterizations of Conjugate Banach Spaces |
| |
| WANG JIAPING. Duality Mappings and Characterizations of Conjugate Banach Spaces[J]. Journal of Shanghai Normal University(Natural Sciences), 1989, 0(1) |
| |
| Authors: | WANG JIAPING |
| |
| Affiliation: | Department of Mathematics |
| |
| Abstract: | Some characterizations of conjugate Banaoh spaces are given with the concept of duality mapping and semi-inner product. A sufficient condition for a Banach space to be isometric to a conjugate space is obtained by using the concept of very smooth point. An analogous characterization of quasi-reflexive spaces is also yielded. |
| |
| Keywords: | duality mapping smooth very smooth semi-inner product linear isometry linear isomorph |
| 本文献已被 CNKI 等数据库收录！ |
