English

Strong Ditkin algebras without bounded relative units

Functional Analysis 2007-05-23 v2

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 the natural numbers, and see that within this family are many easier examples of strong Ditkin algebras without bounded relative units in the sense of Dales.

Keywords

Cite

@article{arxiv.math/9809048,
  title  = {Strong Ditkin algebras without bounded relative units},
  author = {J. F. Feinstein},
  journal= {arXiv preprint arXiv:math/9809048},
  year   = {2007}
}

Comments

7 pages, plain tex, some extra comments and references