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.
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
@article{10_4153_CMB_1980_042_6,
author = {Wong, James C. S.},
title = {A {Characterisation} of {Locally} {Compact} {Amenable} {Subsemigroups}},
journal = {Canadian mathematical bulletin},
pages = {305--312},
year = {1980},
volume = {23},
number = {3},
doi = {10.4153/CMB-1980-042-6},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1980-042-6/}
}
TY - JOUR AU - Wong, James C. S. TI - A Characterisation of Locally Compact Amenable Subsemigroups JO - Canadian mathematical bulletin PY - 1980 SP - 305 EP - 312 VL - 23 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1980-042-6/ DO - 10.4153/CMB-1980-042-6 ID - 10_4153_CMB_1980_042_6 ER -
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