The Weighted ω-Core Inverse and Its Associated Decomposition
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Abstract
We introduce the weighted w-core inverse in a Banach algebra and establish its fundamental properties. We examine its connections to the ω-core inverse and explore element associated with the decomposition of the weighted ω-core inverse. This foundation allows for the investigation of a novel generalized inverse formed by integrating the core and w-group inverse.
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- europepmc
- last seen: 2026-05-20T01:45:00.602351+00:00