A Note on Cline's Formula for Two Subclasses of Generalized Drazin Inverses

A Note on Cline's Formula for Two Subclasses of Generalized Drazin Inverses

Year:    2020

Author:    Kai Yan

Annals of Applied Mathematics, Vol. 36 (2020), Iss. 2 : pp. 195–203

Abstract

For a Banach algebra $\mathcal{A}$ with identity and $a$, $b$, $c$, $d$ $∈$ $\mathcal{A}$, the relations between the extended g-Drazin inverse (resp. generalized strong Drazin inverse) of $ac$ and that of $bd$ are given, when $bac = bdb$ and $cac = cdb$.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2020-AAM-18097

Annals of Applied Mathematics, Vol. 36 (2020), Iss. 2 : pp. 195–203

Published online:    2020-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    9

Keywords:    generalized Drazin inverse extended g-Drazin inverse generalized strong Drazin inverse Cline's formula.

Author Details

Kai Yan