Maximal classes of operators determining some weighted generalized inverses
Dijana Mosić · Linear and Multilinear Algebra · 2019
We develop maximal classes of operators for which the representations of the weighted gDMP inverse, the weighted core–EP inverse and the weighted CMP inverse are valid. Applying our results, we obtain maximal classes determining gDMP inverse, the core–EP inverse and the CMP inverse of Hilbert space operators. Thus, we present new representations and extend recent results omitting some assumptions.