Strong Ditkin algebras without bounded relative units (Q1301938)

Summary: In a previous note the author gave an example of a strong Ditkin algebra which does not have bounded relative units in the sense of Dales. In this note we investigate a certain family of Banach function algebras on the one point compactification of \(\mathbb{N}\), and see that within this family are many easier examples of strong Ditkin algebras without bounded relative units in the sense of Dales.