English

Regularity of $R(X)$ does not pass to finite unions

Functional Analysis 2019-12-06 v1

Abstract

We show that there are compact plane sets XX, YY such that R(X)R(X) and R(Y)R(Y) are regular but R(XY)R(X \cup Y) is not regular.

Keywords

Cite

@article{arxiv.1912.02602,
  title  = {Regularity of $R(X)$ does not pass to finite unions},
  author = {Joel Feinstein},
  journal= {arXiv preprint arXiv:1912.02602},
  year   = {2019}
}

Comments

7 pages, no figures, to appear in Proc. AMS