Abstract
We begin with a theorem that gives a lower bound on the area of the spectrum of a member of a uniform algebra. Let \( \mathcal{A} \) be a uniform algebra on the compact space X with maximal ideal space M. Let ϕ ∈ M and let µ be a representing measure supported on X for ϕ. We can view elements of \( \mathcal{A} \) as continuous functions on M.
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© 1998 Springer-Verlag New York, Inc.
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(1998). Areas. In: Several Complex Variables and Banach Algebras. Graduate Texts in Mathematics, vol 35. Springer, New York, NY. https://doi.org/10.1007/978-0-387-22586-9_21
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DOI: https://doi.org/10.1007/978-0-387-22586-9_21
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-98253-3
Online ISBN: 978-0-387-22586-9
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