THE G-DRAZIN INVERSES OF SPECIAL OPERATOR MATRICES

被引：1
|
作者：
Chen, Huanyin [1 ]
Sheibani, Marjan [2 ]
机构：
[1] Hangzhou Normal Univ, Dept Math, Hangzhou, Peoples R China
[2] Womens Univ Semnan Farzanegan, Semnan, Iran
来源：
OPERATORS AND MATRICES | 2021年 / 15卷 / 01期
关键词：
g-Drazin inverse; operator matrix; Banach algebra;
D O I：
10.7153/oam-2021-15-11
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
An element a in a Banach algebra A has g-Drazin inverse provided that there exists b subset of A such that b = bab, ab = ba, a-a(2)b. A(qnil). In this paper we give a computational formula for the g-Drazin inverse of operator matrix (E I F 0) which was posed by Campbell in the research on singular differential equations.
引用
收藏
页码：151 / 162
页数：12
相关论文
共 50 条
  • [21] Extended g-Drazin Inverse in a Banach Algebra
    Dijana Mosić
    [J]. Bulletin of the Malaysian Mathematical Sciences Society, 2020, 43 : 879 - 892
  • [22] The representations of the g-Drazin inverse in a Banach algebra
    Abdolyousefi, Marjan Sheibani
    [J]. HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2021, 50 (03): : 659 - 667
  • [23] G-Drazin inverse combined with inner inverse
    Maharana, G.
    Sahoo, J. K.
    Thome, Nestor
    [J]. LINEAR & MULTILINEAR ALGEBRA, 2024,
  • [24] Ray pattern of Drazin inverses of some matrices
    Ma, Haifeng
    An, Qi
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2019, 472 (01) : 303 - 313
  • [25] Some block matrices with signed Drazin inverses
    Zhou, Jiang
    Bu, Changjiang
    Wei, Yimin
    [J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2012, 437 (07) : 1779 - 1792
  • [26] On Drazin inverse of operator matrices
    Cvetkovic, Aleksandar S.
    Milovanovic, Gradimir V.
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 375 (01) : 331 - 335
  • [27] Extended g-Drazin Inverse in a Banach Algebra
    Mosic, Dijana
    [J]. BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2020, 43 (01) : 879 - 892
  • [28] Expressions for the g-Drazin inverse in a Banach algebra
    Chen, Huanyin
    Sheibani, Marjan
    [J]. FILOMAT, 2020, 34 (11) : 3845 - 3854
  • [29] New additive results for the g-Drazin inverse
    Castro-González, N
    Koliha, JJ
    [J]. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2004, 134 : 1085 - 1097
  • [30] The σg-Drazin Inverse and the Generalized Mbekhta Decomposition
    A. Dajić
    J. J. Koliha
    [J]. Integral Equations and Operator Theory, 2007, 57 : 309 - 326
12345