Analytic Core and Quasi-Nilpotent Part of Linear Relations in Banach Spaces

Abstract

In this paper, we investigate the notion of analytic core and quasi-nilpotent
part of a linear relation. Furthermore, we are interested in studying the set of Generalized Kato linear relations to give some of their properties in connection with the analytic core and the quasi-nilpotent part.We nish by giving a perturbation result for this set of linear relations.