Short Communications

Integral Equations and Operator Theory

, Volume 34, Issue 2, pp 244-249

First online:

On a class of quasi-Fredholm operators

  • M. BerkaniAffiliated withFaculté des Sciences, Département de Mathematiques, Université Mohammed I

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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.

AMS Classification

47A53 47A55