| Orlicz-Bochner空间的各向一致凸性 |
| |
| 引用本文： | 张剑尘. Orlicz-Bochner空间的各向一致凸性[J]. 长治学院学报, 2008, 25(5) |
| |
| 作者姓名： | 张剑尘 |
| |
| 作者单位： | 湖南科技大学数学与计算科学学院,湖南湘潭,411201 |
| |
| 摘 要： | 文章运用Orlicz空间和Lebesgue-Bochner空间理论及技巧,给出了Orlicz-Bochner空间在赋以Luxemburg范数时,球面上的点为各向一致凸点的充分性条件和空间具有各向一致凸性质的充要条件。
|
| 关 键 词： | Orlicz-Bochner空间 Luxemburg范数 各向一致凸性质 △2条件 |
Uniform Rotundity in Every Direction of Orlicz-Bochner Space |
| |
| ZHANG Jian-chen. Uniform Rotundity in Every Direction of Orlicz-Bochner Space[J]. Journal of Changzhi University, 2008, 25(5) |
| |
| Authors: | ZHANG Jian-chen |
| |
| Abstract: | In this paper,by using Orlicz space and Lebesgue-Bochner space theory and skills,the sufficient conditions were given for the uniform rotundity in every direction point of Orlicz-Bochner space with the Luxemburg norm.And we also derived the sufficient and necessary conditions for the uniform rotundity in every direction of Orlicz-Bochner space with the Luxemburg norm. |
| |
| Keywords: | Orlicz-Bochner space Luxemburg norm uniform rotundity in every direction condition |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
