Convex-cyclic weighted translations on locally compact groups
Convex-cyclic weighted translations on locally compact groups
A bounded linear operator T on a Banach space X is called a convex-cyclic operator if there exists a vector x∈X such that the convex hull of Orb(T,x) is dense in X. In this paper, for given an aperiodic element g in a locally compact group G, we give some …