One-point Gleason parts and point derivations in uniform algebras
Functional Analysis
2022-07-26 v1 Complex Variables
Abstract
It is shown that a uniform algebra can have a nonzero bounded point derivation while having no nontrivial Gleason parts. Conversely, a uniform algebra can have a nontrivial Gleason part while having no nonzero, even possibly unbounded, point derivations.
Cite
@article{arxiv.2207.11587,
title = {One-point Gleason parts and point derivations in uniform algebras},
author = {Swarup N. Ghosh and Alexander J. Izzo},
journal= {arXiv preprint arXiv:2207.11587},
year = {2022}
}