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Algebra |
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Authors: Huanyin Chen, Marjan Sheibani
In this paper, we introduce the generalized $w$-core inverse in a Banach *-algebra. We characterize this new generalized inverse by using the generalized weighted core decomposition and present the representations by the weighted g-Drazin inverse. The generalized $w$-core orders are investigated as well. These extend the weighted core inverse and pseudo core inverse for complex matrices and linear bounded operators to more general setting.
Comments: 24 Pages.
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[v1] 2024-07-06 02:37:02
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