Formulas for the Drazin Inverse of Anti-Triangular Matrices

Articles in Press

Document Type : Research Paper

Authors

1 Department of Mathematics, Semnan University, P.O.Box 35195-363, Semnan, Iran.

2 Department of Mathematics, Semnan Branch, Islamic Azad University, Semnan, Iran.

10.22128/gadm.2024.823.1109

Abstract

Let A be a Banach algebra. In this paper, for two Drazin invertible elements a; b 2 A, explicit formulas for the Drazin inverse (a + b) are given in the cases of a2ba = 0, (ba)2 = 0 and ab2 = 0. By using these formulas, the representations for the Drazin inverse of the anti-triangular operator matrices over Banach algebras are obtained, which also extend some existing results.

Keywords

References

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Analytical and Numerical Solutions for Nonlinear Equations

Articles in Press, Accepted Manuscript
Available Online from 20 October 2024

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  • Receive Date: 06 May 2024
  • Accept Date: 23 September 2024

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