Geodesic
Invariant Means on Dense Subsemigroups of Topological Groups
Canadian journal of mathematics, Tome 23 (1971) no. 5, pp. 797-801

Voir la notice de l'article provenant de la source Cambridge University Press

Let S be a topological semigroup (i.e., S is a semigroup with a Hausdorff topology such that the mapping from S × S to S defined by (s, t) → s ⋅ t for all s, t in S is continuous when S × S has the product topology) and C(S) be the space of bounded continuous real valued functions on S. For each ƒ in C(S) and a in S, define || ƒ || = sup {|ƒ(s)|: s ∈ S} (sup norm of ƒ); raƒ(s) = ƒ(sa) and laƒ(s) = ƒ(as) for all s in S. 
Lau, Anthony To-Ming. Invariant Means on Dense Subsemigroups of Topological Groups. Canadian journal of mathematics, Tome 23 (1971) no. 5, pp. 797-801. doi: 10.4153/CJM-1971-088-4
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