Supercyclicity of multiplication on Banach ideal of operators

Mohamed Amouch; hamza Lakrimi

doi:10.5269/bspm.52067

Mohamed Amouch University Chouaib Doukkali
hamza Lakrimi Chouaib Doukkali University

DOI: https://doi.org/10.5269/bspm.52067

Abstract

Let X be a complex Banach space with dim X > 1 such that its topological dual X∗ is separable and B(X) the algebra of all bounded linear operators on X. In this paper, we study the passage of property of being supercyclic from T ∈ B(X) to the left and the right multiplication induced by T on an admissible Banach ideal of B(X). Also, we give a sufficient conditions for the tensor product T ⊗bR of two operators on B(X) to be supercyclic.

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