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2025, 06, v.24 642-651
Banach代数上2×2算子矩阵的g-Hirano逆
基金项目(Foundation): 浙江省自然科学基金项目(LY21A010018)
邮箱(Email): huanyinchen@aliyun.com;
DOI: 10.19926/j.cnki.issn.1674-232X.2023.06.291
摘要:

文章研究了Banach代数上二阶算子矩阵的g-Hirano可逆性,得到了反三角算子矩阵g-Hirano可逆的充分必要条件,刻画了扰动条件下2×2算子矩阵的g-Hirano可逆性质.

Abstract:

This paper investigates the g-Hirano invertibility of 2×2 operator matrices on Banach algebras. Necessary and sufficient conditions for the g-Hirano invertibility of anti-triangular operator matrices are obtained. Furthermore, the g-Hirano invertibility of such operator matrices under perturbation conditions is characterized.

参考文献

[1] SHEIBANI M,CHEN H Y.Generalized Hirano inverses in rings[J].Commun Algebra,2019,47(7):2967-2978.

[2] CHEN H Y,SHEIBANI M.Generalized Hirano inverses in Banach algebra[J].Filomat,2019,33(9):6239-6249.

[3] GüRGüN O.Properties of generalized strongly Drazin invertible elements in general rings[J].J Algebra Appl,2017,16(11):1750207.

[4] CHEN H Y,SHEIBANI M.The g-Hirano inverse in Banach algebras[J].Lin Multilin Algebra,2021,69(7):1352-1362.

[5] ZHANG D C,MOSI■.On the Drazin inverse of anti-triangular block matrices[J].Electron Res Arch,2022,30(7):2428-2445.

[6] CHEN H Y,SHEIBANI M.The g-Drazin invertibility in a Banach algebra[J].Filomat,2023,37(14):4639-4647.

[7] SHAKOOR A.矩阵和、分块矩阵与修正矩阵的Drazin逆[D].重庆:重庆大学,2015.

基本信息:

DOI:10.19926/j.cnki.issn.1674-232X.2023.06.291

中图分类号:O177

引用信息:

[1]苟海博,陈焕艮.Banach代数上2×2算子矩阵的g-Hirano逆[J].杭州师范大学学报(自然科学版),2025,24(06):642-651.DOI:10.19926/j.cnki.issn.1674-232X.2023.06.291.

基金信息:

浙江省自然科学基金项目(LY21A010018)

发布时间:

2025-11-30

出版时间:

2025-11-30

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