Dinâmica topológica do operador deslocamento com pesos

Abstract

In the present work, we will do a study of linear dynamics of operators, focusing mainly on the concepts of topological transitivity, hypercyclicity and chaoticity. At rst, we will deal with non-linear dynamical systems and, later, we will approach the dynamics of operators in a linear context, more speci cally, in Banach spaces. We will also present examples of linear operators, which are correlated, they are: the backward shift operator, Rolewicz and weighted shift operator. Finally, we will show results that provide us under what conditions these operators have dynamic properties in the lp(X) sequence space, where 1 ≤ p < 1 and X is a Banach space.