A general method for constructing essential uniform algebras

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Feinstein, Joel F. and Izzo, Alexander J. (2019) A general method for constructing essential uniform algebras. Studia Mathematica, 246 . pp. 47-61. ISSN 0039-3223

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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-with-boundary of dimension at least three; and an essential, natural uniform algebra on the unit sphere in C3 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.

Item Type: Article
RIS ID: https://nottingham-repository.worktribe.com/output/904473
Schools/Departments: University of Nottingham, UK > Faculty of Science > School of Mathematical Sciences
Identification Number: https://doi.org/10.4064/sm170907-23-2
Depositing User: Eprints, Support
Date Deposited: 05 Mar 2018 10:33
Last Modified: 04 May 2020 19:26
URI: https://eprints.nottingham.ac.uk/id/eprint/50167

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