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Perturbation of the Drazin inverse for closed linear operators (2000)

González, N. Castro ; Koliha, J. J.

Springer

Integral equations and operator theory 36 (2000), S. 92-106

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ISSN: 1420-8989

Keywords: 47A10 ; 47A60 ; 34G10

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Abstract We investigate the perturbation of the Drazin inverse of a closed linear operator recently introduced by second author and Tran, and derive explicit bounds for the perturbations under certain restrictions on the perturbing operators. We give applications to the solution of perturbed linear equations, to the asymptotic behaviour ofC 0-semigroups of linear operators, and to perturbed differential equations. As a special case of our results we recover recent perturbation theorems of Wei and Wang.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01236288

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