| 关于k极凸空间的几点注记 |
| |
| 引用本文： | 苏雅拉图,李广利.关于k极凸空间的几点注记[J].数学杂志,2011,31(1):181-190. |
| |
| 作者姓名： | 苏雅拉图 李广利 |
| |
| 作者单位： | 1. 内蒙古师范大学数学科学学院,内蒙古,呼和浩特,010022
2. 内蒙古机电职业技术学院,内蒙古,呼和浩特,010051 |
| |
| 摘 要： | 本文证明了k极凸是严格介于冼军和胡长松的k极凸性和何仁义的k极凸性之间的一种新凸性.利用k极凸空间的概念,得到了k极凸的性质以及与其它凸性之间的蕴涵关系,完善了k极光滑及其对偶空间的研究.
|
| 关 键 词： | k极凸 k极光滑 Banach空间 |
SOME REMARKS ON k-EXTREMLY CONVEX SPACES |
| |
| SUYA La-tu,LI Guang-li.SOME REMARKS ON k-EXTREMLY CONVEX SPACES[J].Journal of Mathematics,2011,31(1):181-190. |
| |
| Authors: | SUYA La-tu LI Guang-li |
| |
| Institution: | SUYA La-tu1,LI Guang-li2 (1. College of Math. Science,Inner Mongolia Normal University,Huhhot 010022,China) (2. Inner Mongolia Machine Electricity Occuption Technical College,Huhhot 010051,China) |
| |
| Abstract: | In this article, we show that the k-extrem convexity introduced by us is just the notion of duality of Xian Jun and Hu Changsong’s k-extrem smoothness and lies strictly between the Xian Jun and Hu Changsong’s notion of k-extrem convexity and He Renyi’s notion of k-extrem convexity. Using the notion of k-extrem convexity, we obtain some properties of this kind of convexity and study the relation between that and various convexities. The results perfect the research on k-extrem smooth space and its dual space. |
| |
| Keywords: | k-extrem convex space k-extrem smooth space Banach space |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
| 点击此处可从《数学杂志》浏览原始摘要信息 |
| 点击此处可从《数学杂志》下载免费的PDF全文 |
|
