Weighted generalized core-EP inverse in a Banach algebra with involution
Huanyin Chen, Marjan Sheibani · Research Square · 2023
Abstract In this paper, we introduce the notion of weighted generalized core-EP inverse in a Banach *-algebra. Some properties of weighted core-EP inverse for rectangular complex matrices and bounded linear Hilbert space operators are generalized and some new ones are established. Properties of weighted generalized core-EP orders are presented for all weighted g-Drazin invertible elements in a Banach *-algebra. 2020 Mathematics Subject Classification. 46H05, 15A09, 16U99