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

Maher Mnif, Aman-Allah Ouled-Hmed


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.

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