The perturbation theory for the Drazin inverse and its applications II-Reference-Cited by-同舟云学术

The perturbation theory for the Drazin inverse and its applications II

Published:2001-04 Issue:2 Volume:70 Page:189-198
ISSN:1446-7887
Container-title:Journal of the Australian Mathematical Society
language:en
Short-container-title:J. Aust. Math. Soc.

Author:

Rakočevič Vladimir,Wei Yimin

Abstract

AbstractWe study the perturbation of the generalized Drazin inverse for the elements of Banach algebras and bounded linear operators on Banach space. This work, among other things, extends the results obtained by the second author and Guorong Wang on the Drazin inverse for matrices.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference11 articles.

1. On the perturbation of the group inverse and oblique projection;Wei;Appl. Math. Comput.,1998

2. Spectral Properties of Generalized Inverses of Linear Operators

3. Singular Perturbation of Autonomous Linear Systems

4. A generalized Drazin inverse

Cited by 43 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. GD1 inverse and 1GD inverse for bounded operators on Banach spaces;Computational and Applied Mathematics;2023-06-13

2. The continuity and the simplest possible expression of inner inverses of linear operators in Banach space;Filomat;2021

3. m-weak group inverses in a ring with involution;Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas;2020-10-09

4. Acute and Stable Perturbations of the Drazin Inverse of Bounded Linear Operators in Banach Spaces;Numerical Functional Analysis and Optimization;2020-09-01

5. Weak group inverses in proper ∗-rings;Journal of Algebra and Its Applications;2019-12-16