论文标题
半简单的Banach代数中的广义Drazin-riesz可逆元素
Generalized Drazin-Riesz invertible elements in a semi-simple Banach algebra
论文作者
论文摘要
我们将在\ cite {Ziv}中的有限线性算子引入的广义drazin-riesz的概念扩展到复杂的Unital半简单Banach代数中的元素。给出了普遍的Drazin-riesz可逆元素的几种特征和特性。特别是,我们扩展了\ cite {abzg1,djor,ziv}的内容。
We extend the notion of generalized Drazin-Riesz inverse introduced for bounded linear operators in \cite{Ziv} to elements in a complex unital semi-simple Banach algebra. Several characterizations and properties of generalized Drazin-Riesz invertible elements are given. In particular, we extend those of \cite{AbZg1,Djor,Ziv}.