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Topologically mixing hypercyclic operators |
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| Authors: | George Costakis Martí n Sambarino |
| Affiliation: | Department of Mathematics, University of Maryland, College Park, Maryland 20742 ; Department of Mathematics, University of Maryland, College Park, Maryland 20742 |
| Abstract: | Let  be a separable Fréchet space. We prove that a linear operator  satisfying a special case of the Hypercyclicity Criterion is topologically mixing, i.e. for any given open sets  there exists a positive integer  such that  for any  We also characterize those weighted backward shift operators that are topologically mixing. |
| Keywords: | Hypercyclic operators hypercyclicity criterion topologically mixing |
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