Introduces a weighted generalized core-EP inverse in Banach *-algebras, highlighting new properties and extensions.
In this paper, we introduce the weighted generalized core-EP inverse in the context of a Banach *-algebra. We extend certain properties of the weighted core-EP inverse for rectangular complex matrices and bounded linear operators on Hilbert spaces, and we also establish some new properties. Furthermore, we present properties of the weighted generalized core-EP orders for all elements that are weighted g-Drazin invertible within a Banach *-algebra.
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Chen et al. (2025) studied this question.
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