科研之友
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摘要
In this paper we show that the property of disjoint supercyclic operators T-1, ... , T-N satisfying d-supercyclicity criterion on the same Hilbert space is equivalent to disjointness in supercyclicity of the corresponding left multiplication operators induced by T-1, .. , T-N in the strong operator topology. Besides, by the similar discussion, we also obtain that d-hypercyclicity criterion for any T-1, ... , T-N on the same Hilbert space is equivalent to d-hypercyclicity of the corresponding left multiplication operators induced by T-1 ,..., T-N in the parallel to.parallel to(2) topology.
- 出版日期2015-4
- 单位天津大学
