Mean sensitivity and Banach mean sensitivity for linear operators

Let (X, T) be a linear dynamical system, where X is a Banach space and T: X → X is a bounded linear operator. This paper obtains that (X, T) is sensitive (Li-Yorke sensitive, mean sensitive, syndetically mean sensitive, respectively) if and only if (X, T) is Banach mean sensitive (Banach mean Li-Yorke sensitive, thickly multi-mean sensitive, thickly syndetically mean sensitive, respectively). Several examples are provided to distinguish between different notions of mean sensitivity, syndetic mean sensitivity and mean Li-Yorke sensitivity.