Core-EP inverses in Banach algebras

被引：17
|
作者：
Mosic, Dijana [1 ]
机构：
[1] Univ Nis, Fac Sci & Math, POB 224, Nish 18000, Serbia
来源：
LINEAR & MULTILINEAR ALGEBRA | 2021年 / 69卷 / 16期
关键词：
Core-EP inverse; core inverse; Drazin inverse; Banach algebra; MOORE-PENROSE INVERSE; SPACE OPERATORS; RINGS;
D O I：
10.1080/03081087.2019.1701976
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We introduce the e-core-EP inverse and the core-EP inverse for elements of Banach algebras. Several characterizations and representations for these inverses are presented using idempotents and Drazin inverses. Then, we define the e-core inverse of elements in Banach algebras and give its characterizations, generalizing the related results of the core inverse.
引用
收藏
页码：2976 / 2989
页数：14
相关论文
共 50 条
  • [31] Properties of core-EP matrices and binary relationships
    Kheirandish, Ehsan
    Salemi, Abbas
    Thome, Nestor
    COMPUTATIONAL & APPLIED MATHEMATICS, 2024, 43 (06):
  • [32] Perturbation formulae for the generalized core-EP inverse
    Mosic, Dijana
    ANNALS OF FUNCTIONAL ANALYSIS, 2024, 15 (03)
  • [33] Properties of core-EP order in rings with involution
    Dolinar, Gregor
    Kuzma, Bojan
    Marovt, Janko
    Ungor, Burcu
    FRONTIERS OF MATHEMATICS IN CHINA, 2019, 14 (04) : 715 - 736
  • [34] ADJOINING INVERSES TO COMMUTATIVE BANACH ALGEBRAS
    BOLLOBAS, B
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 181 (JUL) : 165 - 174
  • [35] An Extension of Hirano Inverses in Banach Algebras
    Ghaffari, Ali
    Haddadi, Tahere
    Abdolyousefi, Marjan Sheibani
    FILOMAT, 2022, 36 (09) : 3197 - 3206
  • [36] Generalized Hirano Inverses in Banach Algebras
    Chen, Huanyin
    Sheibani, Sarjan
    FILOMAT, 2019, 33 (19) : 6239 - 6249
  • [37] Generalized core-EP inverse for square matrices
    Sitha, Bibekananda
    Sahoo, Jajati Keshari
    Behera, Ratikanta
    Stanimirovic, Predrag S.
    Stupina, Alena A.
    COMPUTATIONAL & APPLIED MATHEMATICS, 2023, 42 (08):
  • [38] Continuity of generalized inverses in Banach algebras
    Roch, S
    Silbermann, B
    STUDIA MATHEMATICA, 1999, 136 (03) : 197 - 227
  • [39] Generalized core-EP inverse for square matrices
    Bibekananda Sitha
    Jajati Keshari Sahoo
    Ratikanta Behera
    Predrag S. Stanimirović
    Alena A. Stupina
    Computational and Applied Mathematics, 2023, 42
  • [40] Characterizations, approximation and perturbations of the core-EP inverse
    Ma, Haifeng
    Stanimirovic, Predrag S.
    APPLIED MATHEMATICS AND COMPUTATION, 2019, 359 : 404 - 417
12345