Mean sensitive, mean equicontinuous and almost periodic functions for dynamical systems

Abstract

We define forms of mean sensitivity for measure theoretical and topological dynamical systems with respect to a given function f . In the measure theoretic case, we show that mean sensitivity with respect to f ∈ L(X,μ) is complementary to almost periodicity of f , and we obtain a new dynamical characterization of continuous spectrum for Zd+ and R d… (More)

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