| 局部凸空间凸性的等价性 |
| |
| 引用本文： | 陈利国.局部凸空间凸性的等价性[J].内蒙古财经学院学报(综合版),2011,9(3):143-145. |
| |
| 作者姓名： | 陈利国 |
| |
| 作者单位： | 内蒙古财经学院统计与数学学院,内蒙古呼和浩特,010051 |
| |
| 基金项目： | 内蒙古财经学院校级项目(ky0960) |
| |
| 摘 要： | 设X是一个实线性空间,P是X上的一可分离的半范数族(,X,TP)表示由P生成的局部凸空间(,X,P)为一个偶对。引入偶对(X,P)具有性质(WS)*、性质(S)*的概念,并给出几个凸性的等价性定理,得到了若干等价性,推广了Ba-nach空间相应概念和结果。
|
| 关 键 词： | 偶对 凸性 性质(WS) 性质(S) |
On the Equivalence Property of Locally Convex Space Convexity |
| |
| Chen Liguo.On the Equivalence Property of Locally Convex Space Convexity[J].Journal of Inner Mongolia Finance and Economics College,2011,9(3):143-145. |
| |
| Authors: | Chen Liguo |
| |
| Institution: | Chen Liguo(Inner Mongolia University of Finance and Economics,Huhhot,Inner Mongolia,010051) |
| |
| Abstract: | Through an equation,this paper introduces the definitions of introduction to accidentally(X,P) properties(WS),lists several convexity equivalence theorems and come to some equivalence and spread the Banach space corresponding concept and result. |
| |
| Keywords: | dual convexity property(WS)* property(S)* |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
