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# A theorem on amenable semigroups

@inproceedings{Granirer1964ATO, title={A theorem on amenable semigroups}, author={Edmond E. Granirer}, year={1964} }

- Published 1964
DOI:10.1090/S0002-9947-1964-0166597-7

where (lj)(g) =f(ag) and (raf)(g) =f(ga). An invariant mean is a right and left invariant mean. Ml(G), \Mr(G)~\ c m(G)* will denote the set of left [right] invariant means and dim MIG = n will mean that the linear manifold spanned by Ml(G) cz m(G)* is n-dimensional (see [5, §2]). Q: ly(G) -* m(G)* will denote the natural mapping of the semigroup algebra ly(G) into m(G)*. The following is a result of I. S. Luthar (see [9]): A commutative semigroup G has a unique invariant mean (i.e., dim Ml(G… CONTINUE READING

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