Novel Characterizations of the <em>m</em>-Generalized Group Inverse
Huanyin Chen
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Source: Crossref
Published: Oct 9, 2026
DOI: 10.20944/preprints202610.0800.v1
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We study the m-generalized group inverse of Banach elements and establish several new properties. The main result is a novel characterization via the right hybrid (b,c)-inverse, revealing an intrinsic link between the two notions. Additive properties and image-based characterizations are also derived. These results extend the theory of the m-weak group inverse to a broader class of Banach elements and shed new light on infinite-dimensional operators.
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