Continuity and general perturbation of the Drazin inverse for closed linear operators
González, N. Castro ; Koliha, J. J. ; Rakočević, V.
Abstr. Appl. Anal., Tome 7 (2002) no. 12, p. 335-347 / Harvested from Project Euclid
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We study perturbations and continuity of the Drazin inverse of a closed linear operator $A$ and obtain explicit error estimates in terms of the gap between closed operators and the gap between ranges and nullspaces of operators. The results are used to derive a theorem on the continuity of the Drazin inverse for closed operators and to describe the asymptotic behavior of operator semigroups.
Publié le : 2002-05-14
Classification:  47A10,  47A60 
@article{1050348418,
     author = {Gonz\'alez, N. Castro and Koliha, J. J. and Rako\v cevi\'c, V.},
     title = {Continuity and general perturbation of the Drazin inverse for closed linear operators},
     journal = {Abstr. Appl. Anal.},
     volume = {7},
     number = {12},
     year = {2002},
     pages = { 335-347},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1050348418}
}

González, N. Castro; Koliha, J. J.; Rakočević, V. Continuity and general perturbation of the Drazin inverse for closed linear operators. Abstr. Appl. Anal., Tome 7 (2002) no. 12, pp.  335-347. http://gdmltest.u-ga.fr/item/1050348418/