Abstract
Abstract
We show that
$\ell ^1(\mathbb {N}_\wedge )$
is
$\varphi $
-amenable for each multiplicative linear functional
$\varphi :\ell ^1(\mathbb {N}_\wedge )\rightarrow \mathbb {C}.$
This is a counterexample to the final corollary of Jaberi and Mahmoodi [‘On
$\varphi $
-amenability of dual Banach algebras’, Bull. Aust. Math. Soc.105 (2022), 303–313] and shows that the final theorem in that paper is not valid.
Publisher
Cambridge University Press (CUP)