The generalized Drazin inverse of the sum in a Banach algebra

DOI10.1215/20088752-3764461zbMath1368.46036arXiv1803.01083OpenAlexW2964110324MaRDI QIDQ728049

Dijana Mosić, Honglin Zou, Jian-Long Chen, Daochang Zhang

Publication date: 21 December 2016

Published in: Annals of Functional Analysis, Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.01083

zbMATH Keywords

Banach algebrasgeneralized Drazin inverseadditive properties

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) General theory of topological algebras (46H05)

Related Items (11)

Expressions for the g-Drazin inverse in a Banach algebra ⋮ Explicit formulae for the generalized drazin inverse of block matrices over a Banach algebra ⋮ On the perturbation of outer inverses of linear operators in Banach spaces ⋮ Perturbation of the weighted core-EP inverse ⋮ The Drazin inverse of the sum of four matrices and its applications ⋮ Extended \(g\)-Drazin inverse in a Banach algebra ⋮ The g-Hirano inverse in Banach algebras ⋮ Some results on the symmetric representation of the generalized Drazin inverse in a Banach algebra ⋮ Generalization of some commutative perturbation results ⋮ The g-Drazin inverse involving power commutativity ⋮ The g-Drazin inverse of the sum in Banach algebras

Cites Work

• New additive results for the generalized Drazin inverse
• Additive results for the generalized Drazin inverse
• Some additive results for the generalized Drazin inverse in a Banach algebra
• A generalized Drazin inverse
• New additive results for the g-Drazin inverse
• New additive results for the generalized Drazin inverse in a Banach algebra
• Additive results for the generalized Drazin inverse in a Banach algebra

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