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arXiv · 1605.04020

A Hull with No Nontrivial Gleason Parts

Brian J. Cole·Swarup N. Ghosh·Alexander J. Izzo
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Abstract

The existence of a nontrivial polynomially convex hull with every point a one-point Gleason part and with no nonzero bounded point derivations is established. This strengthens the \hbox{celebrated} result of Stolzenberg that there exists a nontrivial polynomially convex hull that contains no analytic discs. A doubly generated counterexample to the peak point conjecture is also presented.

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Brian J. Cole, Swarup N. Ghosh, Alexander J. Izzo. 2016-05-13. A Hull with No Nontrivial Gleason Parts. https://arxiv.org/abs/1605.04020

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