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arXiv · 1512.08069

A General Method for Constructing Essential Uniform Algebras

J. F. Feinstein·Alexander J. Izzo
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Abstract

A general method for constructing essential uniform algebras with prescribed properties is presented. Using the method, the following examples are constructed: an essential, natural, regular uniform algebra on the closed unit disc; an essential, natural counterexample to the peak point conjecture on each manifold of dimension at least three; and an essential, natural uniform algebra on the unit sphere in C^3 containing the ball algebra and invariant under the action of the 3-torus. These examples show that a smoothness hypothesis in some results of Anderson and Izzo cannot be omitted.

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BibTeXRIS

J. F. Feinstein, Alexander J. Izzo. 2015-12-26. A General Method for Constructing Essential Uniform Algebras. https://arxiv.org/abs/1512.08069

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