A Beurling-Rudin theorem for \(H^{\infty}\) (Q1820394)
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scientific article; zbMATH DE number 3996413
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A Beurling-Rudin theorem for \(H^{\infty}\) |
scientific article; zbMATH DE number 3996413 |
Statements
A Beurling-Rudin theorem for \(H^{\infty}\) (English)
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1987
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We give a description of the closed ideals in QA. Using this we show that every closed ideal in \(H^{\infty}\) has the form \(u(J\cap H^{\infty})\) where u is an inner function and J is a closed ideal in \(H^{\infty}+C\). We also show that a closed \(H^{\infty}\) ideal with hull contained in the Šilov boundary is an intersection of maximal ideals.
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inner function
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closed ideal
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Shilov boundary
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intersection of maximal ideals
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