Additive perturbations and multiplicative perturbations for the core inverse of bounded linear operator in Hilbert space

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Perturbation theory of linear operators (47A55) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Cites Work

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Multiplicative perturbation theory of the Moore-Penrose inverse and the least squares problem
Core inverse and core partial order of Hilbert space operators
Additive and multiplicative perturbation bounds for the Moore-Penrose inverse
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Functional analysis methods in numerical analysis. Proceedings, St. Louis, Missouri 1977. Special session, The American Mathematical Society
Convergence of Newton-like methods for singular operator equations using outer inverses
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Some equivalent conditions of stable perturbation of operators in Hilbert spaces
New characterizations for core inverses in rings with involution
Multiplicative perturbations of matrices and the generalized triple reverse order law for the Moore-Penrose inverse
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The expression for the group inverse of the anti-triangular block matrix
Core inverse of matrices
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On the continuity and differentiability of the (dual) core inverse in C*-algebras
Expressions and perturbations for the Moore-Penrose inverse of bounded linear operators in Hilbert spaces
Multiplicative perturbation bounds of the group inverse and oblique projection
Core–EP inverse
Spectral theory of linear operators and spectral systems in Banach algebras

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