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Supercyclicity in the operator algebra using Hilbert-Schmidt operators. (English) Zbl 1196.47009
Summary: We prove that the supercylicity criterion for any operator $$T$$ on a Hilbert space is equivalent to the supercyclicity of the left multiplication operator induced by $$T$$ in the strong operator topology.

##### MSC:
 47A16 Cyclic vectors, hypercyclic and chaotic operators 47B37 Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.)
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##### References:
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