| Banach空间中单调算子的性质 |
| |
| 引用本文： | 刘晓奇.Banach空间中单调算子的性质[J].湘潭师范学院学报(社会科学版),1992(6). |
| |
| 作者姓名： | 刘晓奇 |
| |
| 摘 要： | 设X为Banach空间,X~*是它的共轭空间,在X自反的情形下,关于X的子集D到X~*的单调算子成立锐角原理.本文对一般Banach空间X,考虑X~*的子集A到X的单调算子,不需要假设X及X~*自反,证明了单调算子的锐角原理,Minty-Browder定理及强单调映象原理.
|
| 关 键 词： | 单调算子 w紧集 锐角原理 强单调映射 有限交性 |
The Properties of Monotone Operators on Banach Space |
| |
| Liu Xiao-qi.The Properties of Monotone Operators on Banach Space[J].Journal of Xiangtan Normal University(Social Science Edition),1992(6). |
| |
| Authors: | Liu Xiao-qi |
| |
| Institution: | Liu Xiao-qi |
| |
| Abstract: | Let X be a Banach space, X be the dual space of X. In this paper, considering the monotone operator from A in X into X, we show that the principle of acute angles, Minty-Browder's theorem and the principle of strongly monotone mapping are still valid, however , X and X need not to be reflective. |
| |
| Keywords: | Monotone operator w*-compact set Principle of acute angles Strongly monotone mapping Finite intersection property |
| 本文献已被 CNKI 等数据库收录！ |
|
