| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4618779 | Journal of Mathematical Analysis and Applications | 2011 | 12 Pages |
Abstract
Let E be a separable Fréchet space. The operators T1,…,Tm are disjoint hypercyclic if there exists x∈E such that the orbit of (x,…,x) under (T1,…,Tm) is dense in E×⋯×E. We show that every separable Banach space E admits an m-tuple of bounded linear operators which are disjoint hypercyclic. If, in addition, its dual E∗ is separable, then they can be constructed such that are also disjoint hypercyclic.
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