Maximal Gleason parts for \(H^\infty\) (Q1590899)
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scientific article; zbMATH DE number 1548266
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Maximal Gleason parts for \(H^\infty\) |
scientific article; zbMATH DE number 1548266 |
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Maximal Gleason parts for \(H^\infty\) (English)
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1 January 2001
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The author proves a criterion to check whether a point in the maximal ideal space of \(H^{\infty}(D)\) is or not in the closure of a given Gleason part. Then it is proved that if the closures of two Gleason parts have nonvoid intersection, then one of them is contained in the closure of the other. This gives an answer to a question of Pamela Gorkin. Other related results are proved.
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Gleason parts
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H-infinity algebra
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maximal ideal space
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