| BANACH空间有界线性算子A~((2))_(T,S)的表示 |
| |
| 引用本文： | 杜法鹏,薛以锋.BANACH空间有界线性算子A~((2))_(T,S)的表示[J].高等学校计算数学学报,2009,31(3). |
| |
| 作者姓名： | 杜法鹏 薛以锋 |
| |
| 作者单位： | 1. 徐州工程学院数理学院,徐州,221006
2. 华东师范大学数学系,上海,200241 |
| |
| 摘 要： |
|
EXPRESSION OF BOUNDED LINEAR OPERATOR A~((2))_(T,S) IN BANACH SPACES |
| |
| Du Fapeng,Xue Yifeng.EXPRESSION OF BOUNDED LINEAR OPERATOR A~((2))_(T,S) IN BANACH SPACES[J].Numerical Mathematics A Journal of Chinese Universities,2009,31(3). |
| |
| Authors: | Du Fapeng Xue Yifeng |
| |
| Abstract: | In this paper we extends the results in 1],2],3] and 4] to bounded linear operators in Banach spaces using matrix expression of a partitioned operator. For existence of the limit lim λ→0 (λI + GA)~(-1) G and lim λ→0 G(λI + AG)~(-1) it is necessary and sufficient condition that bounded linear operators A~((2))_(T,S) exist in Banach spaces. We get the integral representation:
A(2)_(T,S)=∫∞0 exp(-GAt)Gdt. |
| |
| Keywords: | bounded linear operators matrix expression of a partitioned operator limit expression integral representation |
| 本文献已被 万方数据 等数据库收录！ |
|
