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arXiv · 2207.11587

One-point Gleason parts and point derivations in uniform algebras

Swarup N. Ghosh·Alexander J. Izzo
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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.

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Swarup N. Ghosh, Alexander J. Izzo. 2022-07-23. One-point Gleason parts and point derivations in uniform algebras. https://arxiv.org/abs/2207.11587

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