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  • 1
    Electronic Resource
    Electronic Resource
    Perturbation of the Drazin inverse for closed linear operators (2000)
    Springer
    Integral equations and operator theory 36 (2000), S. 92-106 
    Details
    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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