The p-Drazin Inverse for Operator Matrix over Banach Algebras

被引：0

作者：

Chen, Huanyin ^{[1
]}

Zou, Honglin ^{[2
]}

Calci, Tugce Pekacar ^{[3
]}

Kose, Handan ^{[4
]}

机构：

[1] Hangzhou Normal Univ, Dept Math, Hangzhou, Peoples R China

[2] Hubei Normal Univ, Dept Math, Huangshi, Hubei, Peoples R China

[3] Ankara Univ, Dept Math, Ankara, Turkey

[4] Ahi Evran Univ, Dept Math, Kirsehir, Turkey

来源：

FILOMAT | 2020年 / 34卷 / 14期

关键词：

p-Drazin inverse; operator matrix; Banach algebra;

D O I：

10.2298/FIL2014597C

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An element a in a Banach algebra A has p-Drazin inverse provided that there exists b is an element of comm(a) such that b = b(2)a, a(k) - a(k+1)b is an element of J(A) for some k is an element of N. In this paper, we present new conditions for a block operator matrix to have p-Drazin inverse. As applications, we prove the p-Drazin invertibility of the block operator matrix under certain spectral conditions.

引用

页码：4597 / 4605

页数：9

共 50 条

[31] Drazin spectrum of operator matrices on the Banach space
Zhang, Shifang
Zhong, Huaijie
Jiang, Qiaofen
LINEAR ALGEBRA AND ITS APPLICATIONS, 2008, 429 (8-9) : 2067 - 2075
[32] ps-Drazin Inverses in Banach Algebras
Chen, Huanyin
Calci, Tugce Pekacar
FILOMAT, 2019, 33 (07) : 2125 - 2133
[33] Explicit Formulae for the Generalized Drazin Inverse of Block Matrices over a Banach Algebra
Zhang, Daochang
Mosic, Dijana
FILOMAT, 2018, 32 (17) : 5907 - 5917
[34] The generalized Drazin inverse of operator matrices
Guo, Li
Zou, Honglin
Chen, Jianlong
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2020, 49 (03): : 1134 - 1149
[35] Duality and operator algebras II: operator algebras as Banach algebras
Blecher, DP
Magajna, B
JOURNAL OF FUNCTIONAL ANALYSIS, 2005, 226 (02) : 485 - 493
[36] THE GENERALIZED DRAZIN INVERSE OF THE SUM IN A BANACH ALGEBRA
Mosic, Dijana
Zou, Honglin
Chen, Jianlong
ANNALS OF FUNCTIONAL ANALYSIS, 2017, 8 (01): : 90 - 105
[37] REPRESENTATIONS FOR THE GENERALIZED DRAZIN INVERSE IN A BANACH ALGEBRA
Benitez, J.
Liu, X.
Qin, Y.
BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2013, 5 (01): : 53 - 64
[38] ON THE GENERALIZED DRAZIN INVERSE OF THE SUM IN A BANACH ALGEBRA
Mosic, Dijana
Zhang, Daochang
QUAESTIONES MATHEMATICAE, 2019, 42 (10) : 1335 - 1344
[39] DRAZIN INVERSE OF AN INFINITE MATRIX
CAMPBELL, SL
SIAM JOURNAL ON APPLIED MATHEMATICS, 1976, 31 (03) : 492 - 503
[40] A Note on the Perturbation Bounds of W-weighted Drazin Inverse of Linear Operator in Banach Space
Wang, Xue-Zhong
Ma, Hai-feng
Cvetkovic, Marija
FILOMAT, 2017, 31 (02) : 505 - 511

← 1 2 3 4 5 →