, Volume 34, Issue 2, pp 244-249

On a class of quasi-Fredholm operators

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Abstract

We study a class of bounded linear operators acting on a Banach spaceX called B-Fredholm operators. Among other things we characterize a B-Fredholm operator as the direct sum of a nilpotent operator and a Fredholm operator and we prove a spectral mapping theorem for B-Fredholm operators.

IMemory of my father, Sidi-Bouhouria 1914-0991.