[EN] We characterize chaos for \phi;(B) on Banach sequence spaces, where \phi; is a Linear Fractional Transformation and B is the usual backward shift operator. Characterizations are computable since they involve only the ...
Bonet Solves, José Antonio; Bonilla, Antonio(Springer Verlag (Germany), 2013-02-11)
Motivated by recent work on the rate of growth of frequently hypercyclic entire functions due to Blasco, Grosse-Erdmann and Bonilla, we investigate conditions to ensure that the differentiation operator is chaotic or ...
Bonet Solves, José Antonio; Kalmes, Thomas; Peris Manguillot, Alfredo(European Mathematical Society Publishing House, 2021)
[EN] We investigate dynamical properties such as topological transitivity, (sequential) hypercyclicity, and chaos for backward shift operators associated to a Schauder basis on LF-spaces. As an application, we characterize ...