| BANACH空间有界线性算子A(2)T,S的表示 |
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| 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) |
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| 作者姓名： | 杜法鹏 薛以锋 |
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| 作者单位： | 徐州工程学院数理学院,徐州,221006;华东师范大学数学系,上海,200241 |
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| 摘 要： |
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EXPRESSION OF BOUNDED LINEAR OPERATOR A~((2))_(T,S) IN BANACH SPACES |
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| 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) |
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| Authors: | Du Fapeng Xue Yifeng |
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| 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. |
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| Keywords: | bounded linear operators matrix expression of a partitioned operator limit expression integral representation |
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