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Theoretical analysis establishes representations of generalized core-EP inverses for anti-triangular matrices in Banach -algebras, revealing novel insights into their algebraic structures.
We investigate the existence and representations of generalized core-EP inverses for a class of anti-triangular matrices over Banach *-algebras. These newly established representations naturally yield innovative formulations for the core and core-EP inverses, providing fresh insights into their algebraic structures.
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Huanyin Chen (2026) studied this question.
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