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math.CV2022
A sharper Swiss cheese
Alexander J. Izzo
It is shown that there exists a compact planar set K such that the uniform algebra R(K) is nontrivial and strongly regular. This settles an issue raised by Donald Wilken 55 years a…
math.FA2022★ 1 cited
One-point Gleason parts and point derivations in uniform algebras
Swarup N. Ghosh, Alexander J. Izzo
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…