Operators with equal projections related to their generalized inverses

被引:18
|
作者
Djordjevic, DS
Wei, YM
机构
[1] Univ Nish, Fac Sci & Math, Dept Math, YU-18000 Nish, Serbia
[2] Fudan Univ, Lab Math Nonlinear Studies, Dept Math, Shanghai 200433, Peoples R China
基金
中国国家自然科学基金;
关键词
outer and inner generalized inverses; inner generalized inverses; projections; perturbations of generalized inverses;
D O I
10.1016/S0096-3003(03)00807-5
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
in this article we characterize operators on Banach spaces which have the same projections related to their outer or inner generalized inverses. As corollaries, we obtain well-known results for the Drazin inverse of bounded operators. (C) 2003 Elsevier Inc. All rights reserved.
引用
收藏
页码:655 / 664
页数:10
相关论文
共 50 条
  • [1] Projections for generalized inverses
    Xu, Sanzhang
    Chen, Jianlong
    Benitez, Julio
    LINEAR & MULTILINEAR ALGEBRA, 2018, 66 (08): : 1593 - 1605
  • [2] Regularity Properties and Generalized Inverses of Delta-Related Operators
    Castro, L. P.
    Speck, F. -O.
    ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 1998, 17 (03): : 577 - 598
  • [3] Generalized inverses of tridiagonal operators
    Sivakumar, K. C.
    APPLIED MATHEMATICS AND COMPUTATION, 2007, 189 (02) : 1300 - 1303
  • [4] Splittings of operators and generalized inverses
    Djordjevic, DS
    Stanimirovic, PS
    PUBLICATIONES MATHEMATICAE DEBRECEN, 2001, 59 (1-2): : 147 - 159
  • [5] GENERALIZED INVERSES OF UNBOUNDED OPERATORS
    LABROUSSE, JP
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1992, 115 (01) : 125 - 129
  • [6] SHORTED OPERATORS AND GENERALIZED INVERSES OF MATRICES
    MITRA, SK
    PURI, ML
    LINEAR ALGEBRA AND ITS APPLICATIONS, 1979, 25 (01) : 45 - 56
  • [7] GENERALIZED INVERSES OF A BORDERED MATRIX OF OPERATORS
    HALL, FJ
    SIAM JOURNAL ON APPLIED MATHEMATICS, 1975, 29 (01) : 152 - 163
  • [8] Linear inessential operators and generalized inverses
    Barnes, Bruce A.
    COMMENTATIONES MATHEMATICAE UNIVERSITATIS CAROLINAE, 2009, 50 (01): : 75 - 82
  • [9] Generalized Inverses of Conditional Type Operators
    H. Emamalipour
    M. R. Jabbarzadeh
    A. Shahi
    Complex Analysis and Operator Theory, 2020, 14
  • [10] Generalized inverses of multivalued linear operators
    Chamkha, Yosra
    Kammoun, Marwa
    Lajnef, Melik
    RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 2024, 73 (01) : 241 - 257