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 ...
In this paper, we show that every complex Banach space X with dimension at least 2 supports a numerically hypercyclic d-homogeneous polynomial P for every . Moreover, if X is infinite-dimensional, then one can find hypercyclic ...