I'm working on the amenability of some Banach algebras, and I'm wondering why $l^\infty$ is amenable ? Does any one has any idea how to start ?


Thank you in advance.



Amenability of $l^\infty$
In general, commutative $C^\ast$-algebras are amenable. See [*A new proof of the amenability of $C(X)$*](http://dx.doi.org/10.1017/S0004972709001063) by Mortaza Abtahi and Yong Zhang (Bulletin of the Australian Mathematical Society, Volume 81, Issue 3, June 2010, pages 414-417).


