On a class of closed prime ideals in H ∞

Abstract

Gorkin and Mortini introduced the concept of k-hulls, k(x), of points x in M(H ∞) ∖ ∖D, and studied the ideal structures of H ∞ and H ∞ +C. They posed a problem for which x∈ M(H ∞) ∖ ∖D the set I(k(x)) is a closed prime ideal. In this article, we give a partial answer for sparse points x.