The G-Drazin Inverse of an Operator Matrix over Banach Spaces

被引：0

作者：

Tayebi, Farzaneh ^{[1
]}

Ashrafi, Nahid ^{[1
]}

Bahmani, Rahman ^{[1
]}

Abdolyousefi, Marjan sheibani ^{[2
]}

机构：

[1] Semnan Univ, Dept Math Stat & Comp Sci, Semnan, Iran

[2] Semnan Univ, Farzanegan Campmus, Semnan, Iran

来源：

KYUNGPOOK MATHEMATICAL JOURNAL | 2024年 / 64卷 / 02期

关键词：

generalized Drazin inverse; additive property; operator matrix; spectral idempotent; BLOCK REPRESENTATIONS; CLINES FORMULA; SUM;

D O I：

10.5666/KMJ.2024.64.2.205

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let A be a Banach algebra. An element a is an element of A has generalized Drazin inverse if there exists b is an element of A such that b = bab, ab = ba, a - a (2) b is an element of A (qnil) . New additive results for the generalized Drazin inverse of an operator over a Banach space are presented. we extend the main results of a paper of Shakoor, Yang and Ali from 2013 and of Wang, Huang and Chen from 2017. Appling these results to 2 x2 operator matrices we also generalize results of a paper of Deng, Cvetkovic<acute accent>-Ilic<acute accent> and Wei from 2010.

引用

页码：205 / 218

页数：14

共 50 条

[31] Generalized Cline's Formula for g-Drazin Inverse in a Ring
Chen, Huanyin
Abdolyousefi, Marjan Sheibani
FILOMAT, 2021, 35 (08) : 2573 - 2583
[32] The g-Drazin inverses of anti-triangular block operator matrices
Chen, Huanyin
Sheibani, Marjan
APPLIED MATHEMATICS AND COMPUTATION, 2024, 463
[33] Cline's Formula and Jacobson's Lemma for g-Drazin Inverse
Chen, Huanyin
Abdolyousefi, Marjan Sheibani
FILOMAT, 2021, 35 (15) : 5083 - 5091
[34] Reverse Order Law for the Drazin Inverse in Banach Spaces
Wang, Hua
Huang, Junjie
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2019, 45 (05) : 1443 - 1456
[35] Reverse Order Law for the Drazin Inverse in Banach Spaces
Hua Wang
Junjie Huang
Bulletin of the Iranian Mathematical Society, 2019, 45 : 1443 - 1456
[36] Perturbation Bound for the Generalized Drazin Inverse of an Operator in Banach Space
Liu, Xiaoji
Qin, Yonghui
FILOMAT, 2017, 31 (16) : 5177 - 5191
[37] The generalized Drazin inverse of a block matrix in a Banach algebra
Dijana Mosić
Aequationes mathematicae, 2015, 89 : 849 - 855
[38] The generalized Drazin inverse of a block matrix in a Banach algebra
Mosic, Dijana
AEQUATIONES MATHEMATICAE, 2015, 89 (03) : 849 - 855
[39] Index splitting for the Drazin inverse of linear operator in Banach space
Chao, Z
Chen, GL
APPLIED MATHEMATICS AND COMPUTATION, 2003, 135 (2-3) : 201 - 209
[40] On G-Drazin partial order in rings
Dolinar, G.
Kuzma, B.
Marovt, J.
Mosic, D.
ACTA MATHEMATICA HUNGARICA, 2024, 173 (01) : 176 - 192

← 1 2 3 4 5 →