On the perturbation of the group generalized inverse for a class of bounded operators in Banach spaces
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Publication:2480352
DOI10.1016/j.jmaa.2007.10.066zbMath1139.47001OpenAlexW2046523733MaRDI QIDQ2480352
J. Y. Vélez-Cerrada, Nieves Castro-González
Publication date: 31 March 2008
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: http://oa.upm.es/2156/
Perturbation theory of linear operators (47A55) Equations involving linear operators, with operator unknowns (47A62) Numerical solutions to equations with linear operators (65J10) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)
Related Items (20)
Expressions for the \(g\)-Drazin inverse of additive perturbed elements in a Banach algebra ⋮ Regular factorizations and group inverses of linear operators in Banach spaces ⋮ Acute perturbation of the group inverse ⋮ The Drazin inverse of the sum of two matrices and its applications ⋮ Some results on the \((2, 2, 0)\) Drazin inverse problem ⋮ Perturbation and expression for inner inverses in Banach spaces and its applications ⋮ Explicit characterization of the Drazin index ⋮ Representations for the Drazin inverse of \(2\times 2\) block-operator matrix with singular Schur complement ⋮ Perturbation bounds for the group inverse and its oblique projection ⋮ On stable perturbations for outer inverses of linear operators in Banach spaces ⋮ Perturbation bound of the group inverse and the generalized Schur complement in Banach algebra ⋮ Representations for the Drazin inverses of the sum of two matrices and some block matrices ⋮ Acute perturbation of Drazin inverse and oblique projectors ⋮ Further results on the perturbation estimations for the Drazin inverse ⋮ Acute and Stable Perturbations of the Drazin Inverse of Bounded Linear Operators in Banach Spaces ⋮ Group invertible block matrices ⋮ On stable perturbations of the generalized Drazin inverses of closed linear operators in Banach spaces ⋮ On the perturbation of outer inverses of linear operators in Banach spaces ⋮ Group inverse and core inverse in Banach and C*-algebras ⋮ Representations of the Drazin inverse on solution of a class singular differential equations
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