| Banach空间中线性算子的广义 Drazin逆的几种新特性 |
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| 引用本文： | 林梅羽.Banach空间中线性算子的广义 Drazin逆的几种新特性[J].鞍山师范学院学报,2015(6):12-17. |
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| 作者姓名： | 林梅羽 |
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| 作者单位： | 莆田学院基础教育学院,福建莆田,351100 |
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| 摘 要： | Banach空间中线性算子分块矩阵的广义Drazin逆不仅在矩阵理论中有着重要应用，而且在控制论、系统论和微分方程等方面也有着重要应用。因此，给出了线性算子分块矩阵x ＝ a bc d ∈A（其中A为B代数）的广义舒尔补s ＝d －cad b是广义Drazin逆条件下此分块矩阵的广义Drazin逆的几种新特性，这些特性是广义舒尔补Drazin逆、广义舒尔补群逆和广义舒尔补为零情形下的推广形式。
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| 关 键 词： | Banach空间 舒尔补 Drazin逆 分块矩阵 |
Several representations of the Drazin inverse of the linear operator in a Banach space |
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| Abstract: | The Drazin inverse of block matrix of linear operator in Banach space not only has been an impor-tant effect in matrix theory,but also in control theory,system theory and differential equation.Therefore,it gives several representations of the Drazin inverse of the linear operator block matrix x=a bc d ∈A ( where Ais B algebra) in the condition that the generalized Schur complement s=d -cad bis generalized Drazin invertible, which are extended terms in the conditions that the generalized Schur complement is Drazin invertible, group inverse and zero. |
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| Keywords: | Banach space Schur complement Drazin inverse block matrix |
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