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A Characterisation of Locally Compact Amenable Subsemigroups

A Characterisation of Locally Compact Amenable Subsemigroups

Abstract In this paper, we prove that if S is a locally compact semigroup and T a locally compact Borel measurable subsemigroup of S , then T has a topological left invariant mean if and only if there is a topological left T -invariant mean M on S such that …