3 citations · 4 across the 16 of their papers we have counts for
5 papers · 2 filters
Polynomially convex sets whose union has nontrivial hull
Alexander J. Izzo
Several results concerning pairs of polynomially convex sets whose union is not even rationally convex are given. It is shown that there is no restriction on how two spaces can be…
A uniform algebra approach to an approximation theorem of Sahutoglu and Tikaradze
Timothy G. Clos, Alexander J. Izzo
Using methods from the theory of uniform algebras, we give a simple proof of an approximation result of Sahutoglu and Tikaradze with -pseudoconvex domains replaced by the…
Polynomial Hulls of Arcs and Curves II
Alexander J. Izzo
We prove that if a compact set E in complex Euclidean space is contained in an arc J, then there is a choice of J whose polynomial hull is the union of J and the polynomial hull of…
Polynomially Convex Arcs in Polynomially Convex Simple Closed Curves
Alexander J. Izzo, Edgar Lee Stout
We prove that every polynomially convex arc is contained in a polynomially convex simple closed curve. We also establish results about polynomial hulls of arcs and curves that are…
The convergence of hulls of curves
Alexander J. Izzo, Edgar Lee Stout
It is shown that a simple closed curve in that is a uniform limit of rectifiable simple closed curves each of which has nontrivial polynomial hull has itself nontrivi…