Expressions for the \(g\)-Drazin inverse of additive perturbed elements in a Banach algebra

DOI10.1016/j.laa.2009.01.017zbMath1186.15004OpenAlexW1970619272MaRDI QIDQ848569

N. E. Zubov

Publication date: 4 March 2010

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2009.01.017

zbMATH Keywords

resolventBanach algebraadditive perturbationcomplex block matricesg-Drazin inverse

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Matrices over special rings (quaternions, finite fields, etc.) (15B33) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Functional calculus in topological algebras (46H30)

Related Items

A note on formulae for the generalized Drazin inverse of anti-triangular block operator matrices in Banach spaces ⋮ Representations for the Drazin inverses of \(2 \times 2\) block matrices ⋮ The Drazin inverse of the sum of two matrices and its applications ⋮ Formulae for the generalized Drazin inverse of a block matrix in Banach algebras ⋮ On the Drazin inverses involving power commutativity ⋮ Representations for the Drazin inverse of \(2\times 2\) block-operator matrix with singular Schur complement ⋮ Some additive results on Drazin inverse ⋮ On the generalized Drazin inverse in Banach algebras in terms of the generalized Schur complement ⋮ Additive property of Drazin invertibility of elements in a ring ⋮ The perturbation classes problem for generalized Drazin invertible operators. II ⋮ Perturbation bound for the generalized Drazin inverse of an operator in Banach space

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