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A semigroup in , a Banach space, is called mean ergodic, if its closed convex hull in has a zero element. Compact groups, compact abelian semigroups or contractive semigroups on Hilbert spaces are mean ergodic. Banach lattices prove to be a natural frame for further mean ergodic theorems: let be a bounded semigroup of positive operators on a Banach lattice with order continuous norm. is mean ergodic if there is a -subinvariant quasi-interior point of and a...
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