Cesaro-recurrent operators

Noureddine Karim, Otmane Benchiheb, Mohamed Amouch

Abstract


In this paper we introduce and study the notion of Cesaro-recurrent operators.
We give some necessary and sufficient conditions for an operator $T$ acting on a Banach space $X$ to be Cesaro-recurrent.
As an application, we study the case of unilateral weighted shifts operators.


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