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Topologically transitive skew-products of operators
Published online by Cambridge University Press: 30 March 2009
Abstract
The purpose of the present paper is to provide a link between skew-product systems and linear dynamics. In particular, we give a criterion for skew-products of linear operators to be topologically transitive. This is then applied to certain families of linear operators including scalar multiples of the backward shift, backward unilateral weighted shifts, composition, translation and differentiation operators. We also prove the existence of common hypercyclic vectors for certain families of skew-product systems.
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- Copyright © Cambridge University Press 2009
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