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 ...
An operator T acting on a normed space E is numerically hypercyclic if, for some (x, x*) is an element of Pi(E), the numerical orbit {x*(T-n(x)) : n >= 0} is dense in C. We prove that finite dimensional Banach spaces with ...