On-line version ISSN 0719-0646
We study the module amenability of Banach modules. This is a natural generalization of Johnsons amenability of Banach algebras. As an example we show that for a discrete abelian group G, lp(G) is amenable as an l1(G)-module if and only if G is amenable, where l1(G) is a Banach algebra with pointwise multiplication.
Keywords : Banach modules; module amenability; weak module amenability; semigroupalgebra; inverse semigroup.