Cline's formula for the generalized Drazin inverse
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Publication:2447307
zbMath1298.15009MaRDI QIDQ2447307
Yihua Liao, Jian Cui, Jian-Long Chen
Publication date: 25 April 2014
Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)
Full work available at URL: http://math.usm.my/bulletin/html/vol37_1_3.html
Theory of matrix inversion and generalized inverses (15A09) Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10)
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A note on formulae for the generalized Drazin inverse of anti-triangular block operator matrices in Banach spaces ⋮ Unnamed Item ⋮ Unnamed Item ⋮ ps-drazin inverses in banach algebras ⋮ Cline’s formula for g-Drazin inverses in a ring ⋮ Expressions for the g-Drazin inverse in a Banach algebra ⋮ P-Hirano inverses in rings ⋮ Explicit formulae for the generalized drazin inverse of block matrices over a Banach algebra ⋮ Jacobson's lemma for the generalized \(n\)-strong Drazin inverses in rings and in operator algebras ⋮ The g-Drazin inverses of anti-triangular block operator matrices ⋮ GD1 inverse and 1GD inverse for bounded operators on Banach spaces ⋮ On gs-Drazin inverses in a ring ⋮ Common properties of \(a\) and \(b\) satisfying \(ab^n = b^{n+1}\) and \(ba^n = a^{n+1}\) in Banach algebras ⋮ The generalized Drazin inverse of an operator matrix with commuting entries ⋮ Jacobson’s lemma and Cline’s formula for generalized inverses in a ring with involution ⋮ Generalized Hirano inverses in rings ⋮ An extension of Clines formula for a generalized Drazin inverse ⋮ Representations for generalized Drazin inverse of operator matrices over a Banach space ⋮ Generalized Drazin invertibility of the product and sum of two elements in a Banach algebra and its applications ⋮ Weak inverses of products — Cline’s formula meets Jacobson lemma ⋮ New extensions of Jacobson's lemma and Cline's formula ⋮ New extensions of Cline’s formula for generalized inverses ⋮ Reflexive-EP elements in rings ⋮ The representations of the g-Drazin inverse in a Banach algebra ⋮ Unnamed Item ⋮ The generalized and pseudo n-strong Drazin inverses in rings ⋮ Extended \(g\)-Drazin inverse in a Banach algebra ⋮ The g-Drazin inverses of special operator matrices ⋮ g-Drazin inverses for operator matrices ⋮ Jacobson pairs and Bott-Duffin decompositions in rings ⋮ The g-Hirano inverse in Banach algebras ⋮ On Jacobson's lemma and Cline's formula for Drazin inverses ⋮ Generalized Cline’s formula and common spectral property ⋮ Further results on the generalized Drazin inverse of block matrices in Banach algebras ⋮ Generalized Zhou inverses in rings ⋮ Generalized Hirano inverses in Banach algebras ⋮ The g-Drazin inverse of the sum in Banach algebras
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