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MEAN ERGODIC THEOREMS FOR ALMOST PERIODIC SEMIGROUPS

MEAN ERGODIC THEOREMS FOR ALMOST PERIODIC SEMIGROUPS

We show mean ergodic theorems for vector-valued weakly almost periodic functions (in the sense of Eberlein) defined on a semigroup which take values in a locally convex topological vector space. Next, motivated by Fréchet [10], we study the relationship between almost periodicity of semigroups of mappings and their equicontinuity, and …