Linear Chaos and Approximation Original Research Article

Let {Tn(t)}∞n=1 be a sequence of strongly continuous linear semigroups on Banach spaces Xn converging in the sense of Kato to a semigroup T(t) on the Banach space X. We discuss under what conditions the chaoticity of Tn(t) is inherited by T(t). We apply our results to a discrete parabolic equation.