Results 141 to 150 of about 340 (155)

Representations for the Generalized Drazin Inverse of Bounded Linear Operators

2010
To investigate the generalized Drazin invertible of a 2 × 2 operator matrix M, representations for the generalized Drazin inverse of M in terms of its individual blocks are presented under some conditions and some recent results are extended.
Li Guo, Xiankun Du
openaire   +1 more source

Generalized Drazin Inverse and Commuting Riesz Perturbations

2020
In this note, we provide necessary and sufficient conditions for the stability of generalized Drazin invertible operators under commuting Riesz perturbation. We also focus on the commuting perturbation class of meromorphic operators.
Mourad Oudghiri, Khalid Souilah
openaire   +1 more source

A note on Cline’s formula for the generalized Drazin inverse

Linear and Multilinear Algebra, 2014
Liao et al. proved that if the product is generalized Drazin invertible, then so is extending the Cline’s formula to the case of the generalized Drazin invertibility. In this paper, we show that if is generalized Drazin invertible for arbitrary , then is generalized Drazin invertible in a Banach algebra. So, we generalize Cline’s formula to the case of
openaire   +1 more source

The Generalized Drazin Inverse

2022
openaire   +1 more source

A note on formulae for the generalized Drazin inverse of anti-triangular block operator matrices in Banach spaces

Banach Journal of Mathematical Analysis, 2022
Daochang Zhang, Dijana Mosić, Zhang Daochang   +2 more
exaly  

Some results on the generalized Drazin inverse of operator matrices

Linear and Multilinear Algebra, 2010
Chunyuan Deng, Dragana S Cvetkovic-Ilic, Yimin Wei   +2 more
exaly  

A note on Cline’s formula for the generalized Drazin inverse

Linear and Multilinear Algebra, 2015
Dijana Mosić
exaly  

Formulae for the generalized Drazin inverse of a block matrix in terms of Banachiewicz–Schur forms

Journal of Mathematical Analysis and Applications, 2014
Dijana Mosić, Dragan S Djordjevic
exaly  

Several expressions for the generalized Drazin inverse of a block matrix in a Banach algebra

Applied Mathematics and Computation, 2013
Dijana Mosić, Dragan S Djordjevic
exaly  

Further Results on the Generalized Drazin Inverse of Block Matrices in Banach Algebras

Bulletin of the Malaysian Mathematical Sciences Society, 2014
Milica Z Kolundžija, Dijana Mosić, Dragan S Djordjevic   +2 more
exaly