12 citations · 21 across the 26 of their papers we have counts for
4 papers · 1 filter
A hull that contains no discs
Alexander J. Izzo
It is shown that if is a unital commutative Banach algebra with a dense set of invertible elements, then the maximal ideal space of contains no compact, locally connected,…
No topological condition implies equality of polynomial and rational hulls
Alexander J. Izzo
It is shown that no purely topological condition implies the equality of the polynomial and rational hulls of a set: For any compact subset of a Euclidean space, there exists a…
A Cantor set whose polynomial hull contains no analytic discs
Alexander J. Izzo, Norman Levenberg
A generalization of a result of Wermer concerning the existence of polynomial hulls without analytic discs is presented. As a consequence it is shown that there exists a Cantor set…
Spaces with polynomial hulls that contain no analytic discs
Alexander J. Izzo
Extensions of the notions of polynomially and rationally convex hulls are introduced. Using these notions, a generalization of a result of Duval and Levenberg on polynomially conve…