Topologically transitive skew-products of backward shift operators and hypercyclicity

Costakis, George; Hadjiloucas, Demetris

doi:10.1090/S0002-9939-07-09001-6

Topologically transitive skew-products of backward shift operators and hypercyclicity
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by George Costakis and Demetris Hadjiloucas PDF

Proc. Amer. Math. Soc. 136 (2008), 937-946 Request permission

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.

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