Perturbation analysis for oblique projection generalized inverses of closed linear operators in Banach spaces

DOI10.1016/j.laa.2007.02.025zbMath1133.47011OpenAlexW1967632380MaRDI QIDQ996212

Hao Zhang, Yu-Wen Wang

Publication date: 13 September 2007

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

Full work available at URL: https://doi.org/10.1016/j.laa.2007.02.025

zbMATH Keywords

Banach spaceperturbation analysisclosed linear operatoroblique projection generalized inverse

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) Linear operator approximation theory (47A58) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Related Items (14)

Perturbation analysis of Moore-Penrose quasi-linear projection generalized inverse of closed linear operators in Banach spaces ⋮ Maps on infinite triangular matrices preserving idempotents ⋮ Metric projection operator and continuity of the set-valued metric generalized inverse in Banach spaces ⋮ Some new perturbation theorems for generalized 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 ⋮ On perturbations for oblique projection generalized inverses of closed linear operators in Banach spaces ⋮ 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 ⋮ Approximative compactness and continuity of the set-valued metric generalized inverse in Banach spaces ⋮ 2-strict convexity and continuity of set-valued metric generalized inverse in Banach spaces ⋮ Perturbations of Moore-Penrose metric generalized inverses of linear operators in Banach spaces ⋮ Perturbation Analysis for Oblique Projection Generalized Inverses ⋮ Perturbation analysis for Moore-Penrose inverse of closed operators on Hilbert spaces

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