Perturbation of the Drazin inverse for closed linear operators

DOI10.1007/BF01236288zbMath0938.47009MaRDI QIDQ1969963

J. J. Koliha, N. Castro González

Publication date: 25 June 2000

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

asymptotic behaviourclosed linear operatorperturbed differential equations\(C_0\)-semigroups of linear operatorsperturbation of the Drazin inverse

Mathematics Subject Classification ID

Functional calculus for linear operators (47A60) Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Linear differential equations in abstract spaces (34G10)

Related Items (18)

Exterior Dirichlet and Neumann problems and the linked ergodic inverse problems in the entire space ⋮ The Drazin inverse of bounded operators with commutativity up to a factor ⋮ Generalized inverses of a normal matrix ⋮ On perturbation of Drazin invertible linear relations ⋮ The representation and approximation of the Drazin inverse of a linear operator in Hilbert space. ⋮ Perturbation bound of the group inverse and the generalized Schur complement in Banach algebra ⋮ Generalized Drazin Inverse and Commuting Riesz Perturbations ⋮ The perturbation of the Drazin inverse ⋮ On stable perturbations of the generalized Drazin inverses of closed linear operators in Banach spaces ⋮ Perturbations of Drazin invertible operators ⋮ Additive perturbation results for the Drazin inverse ⋮ New additive results for the generalized Drazin inverse ⋮ Stable perturbation in Banach algebras ⋮ Compact perturbations of Drazin invertible operators ⋮ Perturbation bound for the generalized Drazin inverse of an operator in Banach space ⋮ Additive results for the generalized Drazin inverse ⋮ A weighted Drazin inverse and applications ⋮ Integral and limit representations of the outer inverse in Banach space

Cites Work

• Semigroups of linear operators and applications to partial differential equations
• The error bound of the perturbation of the Drazin inverse
• Continuity properties of the Drazin pseudoinverse
• Spectral sets. II
• The perturbation theory for the Drazin inverse and its applications
• The asymptotic behaviour of semigroups of linear operators
• The perturbation theory for the Drazin inverse and its applications II
• Pseudo-Inverses in Associative Rings and Semigroups
• Generalisation de la decomposition de kato aux opérateurs paranormaux et spectraux
• Isolated spectral points
• Continuity of The Drazin inverse
• A generalized Drazin inverse
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