Theoretical analysis establishes explicit formulas for core and core-EP inverses in block operator matrices over Banach algebras, expanding generalized matrix inversion methods.
This paper investigates the generalized core-EP inverse of block operator matrices over a Banach algebra. As a result, novel representations and explicit formulae for the core and core-EP inverses of the 2× 2 block operator matrices are established.
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Huanyin Chen (2026) studied this question.
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