International Journal of Mathematics and Mathematical Sciences
Volume 22 (1999), Issue 2, Pages 437-443
doi:10.1155/S0161171299224374
Strong Ditkin algebras without bounded relative units
J.F. Feinstein
School of Mathematical Sciences, Pure Mathematics Division, University of Nottingham, Nottingham NG7 2RD, UK
Abstract
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 ℕ, and see that within this family are many easier examples of strong Ditkin algebras without bounded relative units in the sense of Dales.