One-point Gleason parts and point derivations in uniform algebras
Volume 270 / 2023
Studia Mathematica 270 (2023), 323-337
MSC: Primary 46J10.
DOI: 10.4064/sm220729-12-12
Published online: 8 February 2023
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.
