Introduces a generalized right e-core inverse, characterizing its properties and applications in Minkowski spaces.
We introduce the generalized right e-core inverse in Banach algebras. By employing a decomposition involving quasinilpotent elements, we characterize this new generalized inverse, establish its relationship with the right g-Drazin inverse, and derive its representations. As an application, we obtain new characterizations of the 𝔐-core-EP inverse in Minkowski spaces.
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Chen et al. (2026) studied this question.
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