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A general method for constructing essential uniform algebras

Feinstein, Joel; Izzo, Alexander J.

Authors

Alexander J. Izzo



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.

Journal Article Type Article
Publication Date Jan 1, 2019
Journal Studia Mathematica
Print ISSN 0039-3223
Electronic ISSN 1730-6337
Publisher Polskiej Akademii Nauk, Instytut Matematyczny
Peer Reviewed Peer Reviewed
Volume 246
Pages 47-61
APA6 Citation Feinstein, J. F., & Izzo, A. J. (2019). A general method for constructing essential uniform algebras. Studia Mathematica, 246, 47-61. https://doi.org/10.4064/sm170907-23-2
DOI https://doi.org/10.4064/sm170907-23-2
Publisher URL https://www.impan.pl/pl/wydawnictwa/czasopisma-i-serie-wydawnicze/studia-mathematica/all///112380/a-general-method-for-constructing-essential-uniform-algebras
Copyright Statement Copyright information regarding this work can be found at the following address: http://eprints.nottingh.../end_user_agreement.pdf

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Copyright Statement
Copyright information regarding this work can be found at the following address: http://eprints.nottingham.ac.uk/end_user_agreement.pdf





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