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Algebra

Faculty Articles & Research

2022

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Full-Text Articles in Mathematics

One-Point Gleason Parts And Point Derivations In Uniform Algebras, Swarup Ghosh, Alexander J. Izzo Nov 2022

One-Point Gleason Parts And Point Derivations In Uniform Algebras, Swarup Ghosh, Alexander J. Izzo

Faculty Articles & Research

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.