On the expression of generalized inverses of perturbed bounded linear operators

zbMath1039.47001MaRDI QIDQ1407478

Jiu Ding

Publication date: 2003

Published in: Missouri Journal of Mathematical Sciences (Search for Journal in Brave)

zbMATH Keywords

perturbationclosed rangegeneralized inversenullitydeficiencybounded operator

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Perturbation theory of linear operators (47A55) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Related Items (9)

A continuous orbit for the generalized inverse, Moore–Penrose inverse and group inverse ⋮ Regular factorizations and group inverses of linear operators in Banach spaces ⋮ The characterizations of the stable perturbation of a closed operator by a linear operator in Banach spaces ⋮ Perturbation and expression for inner inverses in Banach spaces and its applications ⋮ Perturbations and expressions for generalized inverses in Banach spaces and Moore-Penrose inverses in Hilbert spaces of closed linear operators ⋮ Some new perturbation results for generalized inverses of closed linear operators in Banach spaces ⋮ On stable perturbations for outer inverses of linear operators in Banach spaces ⋮ The Sherman–Morrison–Woodbury formula for the Moore–Penrose metric generalized inverse ⋮ On the perturbation of outer inverses of linear operators in Banach spaces

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