Non-regularity for Banach function algebras

J. F. Feinstein, D. W. B. Somerset

Let $A$ be a unital Banach function algebra with character space ${\Phi }_A$. For $x\in {\Phi }_A$, let $M_x$ and $J_x$ be the ideals of functions vanishing at $x$, and in a neighbourhood of $…