Supercyclicity of multiplication on Banach ideal of operators
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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Sociedade Brasileira de Matemática
2022-02-01
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| Series: | Boletim da Sociedade Paranaense de Matemática |
| Online Access: | https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/52067 |
| Summary: | 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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| ISSN: | 0037-8712 2175-1188 |