Geodesic
A contribution to the solution of the compact correction problem for operators on a Banach space
Glasgow mathematical journal, Tome 31 (1989) no. 2, pp. 219-229

Voir la notice de l'article provenant de la source Cambridge University Press

We consider the hypothesis that an operator T on a given Banach space can always be perturbed by a compact operator K in such a way that, whenever a complex number A is in the semi-Fredholm region of T + K, then T + K – λ is either bounded below or surjective. The hypothesis has its origin in the work of West [11], who proved it for Riesz operators on Hilbert space. In this paper, we reduce the general Banach space problem to one of considering only operators of a special type, operators which are, in a spectral sense, natural generalizations of the Riesz operators studied by West. 
Searcóid, Mícheál Ó. A contribution to the solution of the compact correction problem for operators on a Banach space. Glasgow mathematical journal, Tome 31 (1989) no. 2, pp. 219-229. doi: 10.1017/S0017089500007771
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