一类反三角算子矩阵的Zhou可逆性  

The Zhou Invertibility for AnAnti-triangular Operator Matrix

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）》2024年第4期425-431,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：文章研究了正交条件下反三角算子矩阵M=(A I B 0)的Zhou可逆性.由此获得了相关扰动算子矩阵的Zhou可逆性刻画,并给出了相关数值例子.In this paper,the Zhou invertibility of the anti-triangular operator matrix M=(A I B 0) is studied under the orthogonal condition.Thus,the Zhou invertibility of the associated perturbation operator matrix is obtained,and the related numerical examples are given.

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]