| K平空间与K强平空间 |
| |
| 引用本文： | 吴红霞,苏雅拉图. K平空间与K强平空间[J]. 内蒙古师范大学学报(自然科学版), 2010, 39(4): 341-345 |
| |
| 作者姓名： | 吴红霞 苏雅拉图 |
| |
| 作者单位： | 集美大学理学院,数学系,福建,厦门,361021;内蒙古师范大学,数学科学学院,内蒙古,呼和浩特,010022 |
| |
| 基金项目： | 福建省自然科学基金资助项目(2009J05010);;内蒙古自然科学基金资助项目(20080404MS0102);;集美大学校科研启动基金 |
| |
| 摘 要： | 引入K平空间、K强平的Banach空间,证明了K平的Banach空间X的共轭空间X*没有K非常光滑点,而S(X*)的非K光滑点在S(X*)中稠密,刻画了凸性更差的Banach空间的性质.另外,还引入强平模、K强平模的概念,并给出强平模、K强平模的充分必要条件.
|
| 关 键 词： | 平空间 强平空间 K平空间 K强平空间 强平模 K强平模 |
K Even Space and K Strongly Even Space |
| |
| WU Hong-xia,Suyalatu. K Even Space and K Strongly Even Space[J]. Journal of Inner Mongolia Normal University(Natural Science Edition), 2010, 39(4): 341-345 |
| |
| Authors: | WU Hong-xia Suyalatu |
| |
| Affiliation: | 1.Mathematics Department/a>;School of Science/a>;Jimei University/a>;Xiamen 361021/a>;Fujian/a>;China/a>;2.College of Mathematics Science/a>;Inner Mongolia Normal University/a>;Hohhot 010022/a>;China |
| |
| Abstract: | K even space and K strongly even space are introduced.Some facts that no K very smooth point exist in the conjugated space X* of K even Banach space X,and that the non-K-smooth point is dense in S(X*) are proved,which characterize the property of the Banach space with the worse convexity.In addition,the concepts of strongly even module and of K strongly even module are also proposed,and one sufficient and necessary condition for them is given,respectively,which will provide a base to discuss its convexity q... |
| |
| Keywords: | even space strongly even space K even space K strongly even space strongly even module K strongly even module |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
