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Let be a Banach space, the algebra of bounded linear operators on and an admissible Banach ideal of . For , let and denote the left and right multiplication defined by and , respectively. In this paper, we study the transmission of some concepts related to recurrent operators between , and their elementary operators and . In particular, we give necessary and sufficient conditions for and to be sequentially recurrent. Furthermore, we prove that is recurrent if and only...
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