Module amenability for Banach modules

Author
Ebrahimi Bagha, D.

Amini, M.

Full text
https://revistas.ufro.cl/ojs/index.php/cubo/article/view/1375
10.4067/S0719-06462011000200007
Abstract
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, 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.
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