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A COUNTEREXAMPLE TO A RESULT OF JABERI AND MAHMOODI
Part of:
Topological algebras, normed rings and algebras, Banach algebras
Abstract harmonic analysis
Published online by Cambridge University Press: 10 August 2023
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.
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- © The Author(s), 2023. Published by Cambridge University Press on behalf of Australian Mathematical Publishing Association Inc.
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