Abstract
ABSTRACTIn this paper, we show that if is a quasi-Fredholm operator of degree d such that is complemented, then T has a decomposition like the Kato type operators. Using this decomposition allows us get a result about the stability of this class of operators under perturbations by nilpotent operators. Also we give a new decomposition for the class of semi B-Weyl operators, and through this property we shown that T is a semi B-Weyl operator if and only if T=S+K where S is a semi B-Browder operator and K is finite-dimensional.
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