算子矩阵Zhou逆的几个新结果  

New Results of Zhou Inverse for Operator Matrices

作　　者：杨杰[1] 陈焕艮 YANG Jie;CHEN Huanyin(School of Mathematics,Hangzhou Normal University,Hangzhou 311121,China)

机构地区：[1]杭州师范大学数学学院,浙江杭州311121

出　　处：《杭州师范大学学报（自然科学版）》2023年第6期621-627,共7页Journal of Hangzhou Normal University(Natural Science Edition)

基　　金：浙江省自然科学基金项目(LY21A010018)。

摘　　要：文章研究Banach空间上算子矩阵的Zhou逆问题,证明了一定条件下线性算子差的Zhou可逆性,并将所得结果应用到算子矩阵上,获得了相关算子矩阵的Zhou可逆性.The Zhou invertibility of operator matrices on a Banach space is investigated.The Zhou invertibility of linear operator differences under certain conditions was proved.Then,the results were applied to related numerical examples,demonstrating the Zhou invertibility of the operator matrices.

关 键 词：有界线性算子 Pierce分解 Zhou逆 算子矩阵 

分 类 号：O153.3[理学—数学]