Abstract

EBRAHIMI BAGHA, D  and  AMINI, M. Module amenability for Banach modules. Cubo [online]. 2011, vol.13, n.2, pp. 127-137. ISSN 0719-0646.  http://dx.doi.org/10.4067/S0719-06462011000200007.

We study the module amenability of Banach modules. This is a natural generalization of Johnson’s amenability of Banach algebras. As an example we show that for a discrete abelian group G, l^p(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.