GROUP INVERSE AND GENERALIZED DRAZIN INVERSE OF BLOCK MATRICES IN A BANACH ALGEBRA

被引：6
|
作者：
Mosic, Dijana [1 ]
机构：
[1] Univ Nis, Fac Sci & Math, Nish 18000, Serbia
来源：
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2014年 / 51卷 / 03期
关键词：
Block matrix; Generalized Drazin inverse; Reverse order law;
D O I：
10.4134/BKMS.2014.51.3.765
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Necessary and sufficient conditions for the existence of the group inverse of an anti-triangular block matrix in Banach algebras are presented. Using these results, we give the formulae for the generalized Drazin inverse of a block matrix.
引用
收藏
页码：765 / 771
页数：7
相关论文
共 50 条
  • [1] On deriving the generalized Drazin inverse of block matrices in a Banach algebra
    Mosic, Dijana
    [J]. QUAESTIONES MATHEMATICAE, 2016, 39 (04) : 511 - 521
  • [2] Explicit Formulae for the Generalized Drazin Inverse of Block Matrices over a Banach Algebra
    Zhang, Daochang
    Mosic, Dijana
    [J]. FILOMAT, 2018, 32 (17) : 5907 - 5917
  • [3] The generalized Drazin inverse of a block matrix in a Banach algebra
    Dijana Mosić
    [J]. Aequationes mathematicae, 2015, 89 : 849 - 855
  • [4] The generalized Drazin inverse of a block matrix in a Banach algebra
    Mosic, Dijana
    [J]. AEQUATIONES MATHEMATICAE, 2015, 89 (03) : 849 - 855
  • [5] On the generalized drazin inverse in a Banach algebra
    Liu, Xiaoji
    Qin, Yonghui
    Benítez, Julio
    [J]. Italian Journal of Pure and Applied Mathematics, 2019, (41): : 1 - 22
  • [6] ON THE GENERALIZED DRAZIN INVERSE IN A BANACH ALGEBRA
    Liu, Xiaoji
    Qin, Yonghui
    Benitez, Julio
    [J]. ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2019, (41): : 1 - 22
  • [7] Expressions for the generalized Drazin inverse of a block matrix in a Banach algebra
    Mosic, Dijana
    [J]. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2014, 91 (03) : 514 - 526
  • [8] Representation for the generalized Drazin inverse of block matrices in Banach algebras
    Mosic, Dijana
    Djordjevic, Dragan S.
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (24) : 12001 - 12007
  • [9] GENERALIZED DRAZIN INVERSE OF CERTAIN BLOCK MATRICES IN BANACH ALGEBRAS
    Kolundzija, M. Z.
    Mosic, D.
    Djordjevic, D. S.
    [J]. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2015, 41 (02): : 529 - 542
  • [10] THE GENERALIZED DRAZIN INVERSE OF THE SUM IN A BANACH ALGEBRA
    Mosic, Dijana
    Zou, Honglin
    Chen, Jianlong
    [J]. ANNALS OF FUNCTIONAL ANALYSIS, 2017, 8 (01): : 90 - 105
12345