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arXiv · 2507.07777

New properties of weighted generalized core-EP inverse in Banach algebras

Huanyin Chen·Marjan Sheibani
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Abstract

We characterize the generalized weighted core-EP inverse via the canonical decomposition, utilizing a weighted core-EP invertible element and a quasinilpotent. We then offer a polar-like characterization for the generalized weighted core-EP invertible element. The representations of the generalized weighted core-EP inverse by leveraging the weighted generalized Drazin inverse are thereby presented. These lead to new properties for the weighted core-EP inverse.

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Huanyin Chen, Marjan Sheibani. 2025-07-10. New properties of weighted generalized core-EP inverse in Banach algebras. https://arxiv.org/abs/2507.07777

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