Left and right B-fredholm operators

F.  Abdmouleh; T.  Ben Lakhal

doi:10.37863/umzh.v74i10.6331

F. Abdmouleh Univ. Sfax, Ins. Supér. Gestion Industrielle Sfax, Tunisia
T. Ben Lakhal Univ. Sfax, Ins. Supe ́r. Gestion Industrielle Sfax, Tunisia

DOI: https://doi.org/10.37863/umzh.v74i10.6331

Keywords: Fredholm operators, B-Fredholm operators, finite rank operators.

Abstract

UDC 517.9

We introduce the families of left and right B-Fredholm operators in Banach space, realize their stabilization with the help of finite-rank operators, and prove a spectral mapping theorem for the left and right B-Fredholm operators.

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