Volume 36, Issue 2
A Note on Cline's Formula for Two Subclasses of Generalized Drazin Inverses

Kai Yan

Ann. Appl. Math., 36 (2020), pp. 195-203.

Published online: 2020-08

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  • 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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@Article{AAM-36-195, author = {Yan , Kai}, title = {A Note on Cline's Formula for Two Subclasses of Generalized Drazin Inverses}, journal = {Annals of Applied Mathematics}, year = {2020}, volume = {36}, number = {2}, pages = {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 $cac = cdb$.

}, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/aam/18097.html} }
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 -

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 $cac = cdb$.

Yan , Kai. (2020). A Note on Cline's Formula for Two Subclasses of Generalized Drazin Inverses. Annals of Applied Mathematics. 36 (2). 195-203. doi:
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