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Topologically transitive skew-products of backward shift operators and hypercyclicity |
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| Authors: | George Costakis Demetris Hadjiloucas |
| Affiliation: | Department of Mathematics, University of Crete, Knossos Avenue, GR-714 09, Heraklion, Crete, Greece ; The School of Computer Science and Engineering, Cyprus College, 6 Diogenes Street, Engomi, P. O. Box 22006, 1516 Nicosia, Cyprus |
| Abstract: | In this article we look at skew-products of multiples of the backward shift and examine conditions under which the skew-product is topologically transitive or hypercyclic in the second coordinate. We also give an application of the theory to iterated function systems of multiples of backward shift operators. |
| Keywords: | Hypercyclic operators skew-product |
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