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A Characterisation of Locally Compact Amenable Subsemigroups
Published online by Cambridge University Press: 20 November 2018
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 M(xT) = 1, where xT is the characteristic functional of T in S.
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- Copyright © Canadian Mathematical Society 1980
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