TY - JOUR
T1 - A Note on Cline's Formula for Two Subclasses of Generalized Drazin Inverses
AU - Yan , Kai
JO - Annals of Applied Mathematics
VL - 2
SP - 195
EP - 203
PY - 2020
DA - 2020/08
SN - 36
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/aam/18097.html
KW - generalized Drazin inverse, extended g-Drazin inverse, generalized strong Drazin inverse, Cline's formula.
AB - <p style="text-align: justify;">For a Banach algebra $\mathcal{A}$ with identity and $a$, $b$, $c$, $d$ $∈$&nbsp;<span style="text-align: justify;">$\mathcal{A}$</span>, 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 $cac = cdb$.</p>