New additive results for the generalized Drazin inverse

DOI10.1016/j.jmaa.2010.05.010zbMath1197.47002OpenAlexW1967412245MaRDI QIDQ984784

Chun-Yuan Deng, Yi-Min Wei

Publication date: 20 July 2010

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.05.010

zbMATH Keywords

Banach algebrageneralized Drazin inverseadditive result

Mathematics Subject Classification ID

General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Related Items

Unnamed Item ⋮ ps-drazin inverses in banach algebras ⋮ Expressions for the g-Drazin inverse in a Banach algebra ⋮ The Drazin inverse of the sum of two matrices and its applications ⋮ Unnamed Item ⋮ New characterizations for core inverses in rings with involution ⋮ Further results on weighted core inverse in a ring ⋮ On the operator equation \(AX-XB+XDX=C\) ⋮ On the Drazin inverses involving power commutativity ⋮ Representations for the Drazin inverse of \(2\times 2\) block-operator matrix with singular Schur complement ⋮ 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 ⋮ Jacobson's lemma for the generalized Drazin inverse ⋮ Some additive results on Drazin inverse ⋮ Generalized Drazin Inverse and Commuting Riesz Perturbations ⋮ Generalized Drazin invertibility of the product and sum of two elements in a Banach algebra and its applications ⋮ Characterizations and representations of the \((P, Q)\)-outer generalized inverse ⋮ Acute and Stable Perturbations of the Drazin Inverse of Bounded Linear Operators in Banach Spaces ⋮ On the pseudo drazin inverse of the sum of two elements in a Banach algebra ⋮ Additive property of Drazin invertibility of elements in a ring ⋮ The generalized Drazin inverse of the sum in a Banach algebra ⋮ A note on the formulas for the Drazin inverse of the sum of two matrices ⋮ Representations of the Drazin inverse on solution of a class singular differential equations ⋮ g-Drazin inverses for operator matrices ⋮ The g-Hirano inverse in Banach algebras ⋮ Reverse order law for the Drazin inverse in Banach spaces ⋮ The core inverses of linear combinations of two core invertible matrices ⋮ Perturbation bound for the generalized Drazin inverse of an operator in Banach space ⋮ The g-Drazin inverse of the sum in Banach algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Generalized inverses over integral domains. II: Group inverses and Drazin inverses
• Continuity properties of the Drazin pseudoinverse
• Group inverses and Drazin inverses over Banach algebras
• The perturbation theory for the Drazin inverse and its applications
• The representation and approximation of the Drazin inverse of a linear operator in Hilbert space.
• Perturbation of the Drazin inverse for matrices with equal eigenprojections at zero
• Continuity and general perturbation of the Drazin inverse for closed linear operators
• Additive perturbation results for the Drazin inverse
• Representations of the Drazin inverse for a class of block matrices
• Perturbation of the Drazin inverse for closed linear operators
• The representation and characterization of Drazin inverses of operators on a Hilbert space
• The Drazin inverses of products and differences of orthogonal projections
• The perturbation theory for the Drazin inverse and its applications II
• Additive results for the generalized Drazin inverse
• Pseudo-Inverses in Associative Rings and Semigroups
• On the Generalized Drazin Inverse and Generalized Resolvent
• The reduced minimum modulus of Drazin inverses of linear operators on Hilbert spaces
• The weighted g-Drazin inverse for operators
• The Stable Perturbation of the Drazin Inverse of the Square Matrices
• A generalized Drazin inverse
• New additive results for the g-Drazin inverse
• Differentiability of the g-Drazin inverse
• A Characterization and Representation of the Drazin Inverse
• Error Bounds for Perturbation of the Drazin Inverse of Closed Operators with Equal Spectral Projections
• A Perturbation Bound of the Drazin Inverse of a Matrix by Separation of Simple Invariant Subspaces
• An improvement on perturbation bounds for the Drazin inverse
• Representations for the Drazin Inverse of a 2 x 2 Block Matrix
• HOLOMORPHIC AND MEROMORPHIC PROPERTIES OF THE g-DRAZIN INVERSE
• Additive results for the generalized Drazin inverse in a Banach algebra
• Some additive results on Drazin inverse

This page was built for publication: New additive results for the generalized Drazin inverse