a1 Math Department, Kent State University, Kent, Ohio, 44242, United States of America, e-mail: email@example.com, firstname.lastname@example.org
a2 Mathematisches Institut II, Universität Karlsruhe, D-76128 Karlsruhe, Germany, e-mail: email@example.com
We give a sufficient condition for an operator to be chaotic and we use this condition to show that, in the Banach space C0[0, ∞) the operator (τλ, cf)(t) = λf(t + c) (with λ > 1 and c > 0) is chaotic, with every n being a period for this operator. We also describe a technique to construct, explicitly, hypercyclic functions for this operator.
(Received December 01 2004)