We define an extension of weighted G-Drazin inverses of rectangular matrices to operators between two Banach spaces. Some properties of weighted G-Drazin inverses are generalized and some new ones are proved. Using weighted G-Drazin inverses, we introduce and characterize a new weighted pre-order on the set of all bounded linear operators between two Banach spaces. As an application, we present and study the G-Drazin inverse and the G-Drazin partial order for operators on Banach space.
Weighted G-Drazin inverse for operators on Banach spaces
Mosić, Dijana
Abstract
carpathian_2019_35_2_171_184_abstractFull PDF
carpathian_2019_35_2_171_184Additional Information
| Author(s) | Mosić, Dijana |
|---|---|
| DOI | tps://doi.org/10.37193/CJM.2019.02.06 |
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