Dinâmica linear de operadores do tipo shift.

Abstract

In this work, we will study some of the main notions of linear dynamics for continuous linear shift operators on the classical spaces of absolutely p-summable sequences. More precisely, we shall investigate the following dynamical properties: hypercylicity, topological transivity, mixing, weakly mixing and Devaney chaos. We will study criteria that imply such properties, in the context of continuous linear operators, and we will show some characterizations for the hypercyclicity, mixing, weakly mixing and chaos, for weighted shift operators defined on those spaces.