Chaos for linear fractional transformations of shifts

Ronald Jiménez-Muniguía, Galán Céspedes Víctor José, Martínez Jiménez Félix, Peris Manguillot Alfredo

2016

Topology and its Applications

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 four complex numbers defining \phi.