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Hypercyclicity on the Algebra of Hilbert-Schmidt Operators |
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| Authors: | B Yousefi H Rezaei |
| Institution: | 1. Department of Mathematics, College of Sciences, Shiraz University, Shiraz, 71454, Iran |
| Abstract: | We prove that the Hypercyclicity Criterion for any operator T on a Hilbert space is equivalent to the hypercyclicity of the left multiplication operator induced by T on the algebra of Hilbert-Schmidt operators. |
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