We obtain new characterizations of Li Yorke chaos for linear operators on
Banach and Fréchet spaces. We also offer conditions under which an operator admits a
dense set or linear manifold of irregular vectors. Some of ...
We study Li-Yorke chaos and distributional chaos for operators on Banach spaces. More precisely, we characterize Li-Yorke chaos in terms of the existence of irregular vectors. Sufficient "computable" criteria for distributional ...
Bernardes, N. C. Jr.; Peris Manguillot, Alfredo; Ródenas Escribá, Francisco de Asís(Springer-Verlag, 2017)
[EN] We study several notions of chaos for hyperspace dynamics associated to continuous linear operators. More precisely, we consider a continuous linear operator on a topological vector space X, and the natural hyperspace ...