an:05177460
Zbl 1196.47009
Yousefi, B.; Rezaei, H.; Doroodgar, J.
Supercyclicity in the operator algebra using Hilbert-Schmidt operators
EN
Rend. Circ. Mat. Palermo (2) 56, No. 1, 33-42 (2007).
00210442
2007
j
47A16 47B37
supercyclic operator; strong operator topology; Hilbert-Schmidt operators; supercyclicity criterion
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.