Alexander J. Izzo

activity

20142025

most citedPresence or absence of analytic structure in maximal ideal spaces

12 citations · 21 across the 26 of their papers we have counts for

collaborators

Showing 2019Show all

4 papers · 1 filter

math.CV2019

Polynomial Hulls of Arcs and Curves

Alexander J. Izzo

It is shown that there exist arcs and simple closed curves in $C^{3}$ with nontrivial polynomial hulls that contain no analytic discs. It is also shown that in any bounded…

math.CV2019

Gleason parts and point derivations for uniform algebras with dense invertible group II

Alexander J. Izzo

Due to the omission of a hypothesis from an elementary lemma in the author's paper "Gleason parts and point derivations for uniform algebras with dense invertible group", some of t…

math.CV2019

A doubly generated uniform algebra with a one-point Gleason part off its Shilov boundary

Alexander J. Izzo

It is shown that there exists a compact set $X$ in $C^{2}$ with a nontrivial polynomial hull $X$ such that some point of $X ∖ X$ is a one-point Gl…

math.CV2019★ 1 cited

Topology of Gleason Parts in maximal ideal spaces with no analytic discs

Alexander J. Izzo, Dimitris Papathanasiou

We strengthen, in various directions, the theorem of Garnett that every $σ$ -compact, completely regular space $X$ occurs as a Gleason part for some uniform algebra. In particular,…