A Characterisation of Locally Compact Amenable Subsemigroups
Canadian mathematical bulletin, Tome 23 (1980) no. 3, pp. 305-312

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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.
DOI : 10.4153/CMB-1980-042-6
Mots-clés : (Mathematical Reviews 1973), 22.05, 22.20 and 42.50, Locally compact semigroups and subsemigroups, topological left invariant means measure algebras, characteristic functionals
Wong, James C. S. A Characterisation of Locally Compact Amenable Subsemigroups. Canadian mathematical bulletin, Tome 23 (1980) no. 3, pp. 305-312. doi: 10.4153/CMB-1980-042-6
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     title = {A {Characterisation} of {Locally} {Compact} {Amenable} {Subsemigroups}},
     journal = {Canadian mathematical bulletin},
     pages = {305--312},
     year = {1980},
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     doi = {10.4153/CMB-1980-042-6},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1980-042-6/}
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