二类新型扰动算子矩阵的Hirano可逆性研究  

Hirano Invertibility of Two New Types of Perturbation Operator Matrices

作　　者：苟海博 陈焕艮 GOU Haibo;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)》2025年第1期98-106,共9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Banach代数中分块算子矩阵的Hirano可逆性,获得了矩阵(AB CD)在二类新型扰动条件下的Hirano逆,进而提供了Banach空间上分解为三幂等元和幂零元和的新型算子矩阵.In this paper,the Hirano invertibility of partitioned operator matrices in Banach algebras was studied.The Hirano inverse of the matrix A BC D was obtained under two kinds of new perturbations.Then,a new operator matrix decomposed into the sum of tripotent and nilpotent elements on Banach space was provided.

关 键 词：Hirano分解 强Drazin逆 反三角矩阵 分块算子矩阵 

分 类 号：O153.3[理学—数学]