WEIGHTED GDMP INVERSE OF OPERATORS BETWEEN HILBERT SPACES

被引:27
|
作者
Mosic, Dijana [1 ]
机构
[1] Univ Nis, Fac Sci & Math, Nish 18000, Serbia
关键词
DMP inverse; Wg-Drazin inverse; Moore-Penrose inverse; Hilbert space; G-DRAZIN INVERSE; RECTANGULAR MATRICES; DMP INVERSE;
D O I
10.4134/BKMS.b170753
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We introduce new generalized inverses (named the WgDMP inverse and dual WgDMP inverse) for a bounded linear operator between two Hilbert spaces, using its Wg-Drazin inverse and its Moore-Penrose inverse. Some new properties of WgDMP inverse and dual WgDMP inverse are obtained and some known results are generalized.
引用
收藏
页码:1263 / 1271
页数:9
相关论文
共 50 条
  • [31] Topological Structure of the Spaces of Composition Operators on Hilbert Spaces of Dirichlet Series
    Hu, Bingyang
    Khoi, Le Hai
    Zhao, Ruhan
    ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 2016, 35 (03): : 267 - 284
  • [32] Hilbert spaces contractively contained in weighted Bergman spaces on the unit disk
    Chu, Cheng
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2019, 472 (01) : 386 - 394
  • [33] The weighted g-Drazin inverse for operators
    Dajic, A.
    Koliha, J. J.
    JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2006, 81 : 405 - 423
  • [34] The weighted g-Drazin inverse for operators
    Dajic, A.
    Koliha, J. J.
    JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2007, 82 : 163 - 181
  • [35] Complex Symmetric Weighted Composition Operators on Weighted Bergman Spaces
    Molla Basir Ahamed
    Taimur Rahman
    Complex Analysis and Operator Theory, 2025, 19 (3)
  • [36] Separation of the Grushin differential operator in weighted Hilbert spaces
    Atia H.A.
    Lobachevskii Journal of Mathematics, 2011, 32 (3) : 180 - 188
  • [37] Some means inequalities for positive operators in Hilbert spaces
    Jin Liang
    Guanghua Shi
    Journal of Inequalities and Applications, 2017
  • [38] On Bounded Finite Potent Operators on Arbitrary Hilbert Spaces
    Pablos Romo, Fernando
    BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2021, 44 (06) : 4085 - 4107
  • [39] New Results on Some Transforms of Operators in Hilbert Spaces
    Altwaijry, Najla
    Conde, Cristian
    Feki, Kais
    Stankovic, Hranislav
    BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, 2024, 55 (03):
  • [40] Some means inequalities for positive operators in Hilbert spaces
    Liang, Jin
    Shi, Guanghua
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2017,