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Journal of the London Mathematical Society 1992 s2-45(2):288-300; doi:10.1112/jlms/s2-45.2.288
© 1992 by London Mathematical Society
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© Oxford University Press

A Non-Trivial, Strongly Regular Uniform Algebra

Joel F. Feinstein

School of Mathematics University of Leeds Leeds LS2 9JT

In this paper we answer a question of Wilken by constructing an example of a non-trivial, strongly regular uniform algebra on a compact, Hausdorff; topological space. We also show how to obtain an example on a compact metric space, and we give examples both with and without the property that every point is a peak point.


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