Spectral properties of certain operators on Hardy spaces of planar regions (Q1111148)
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scientific article; zbMATH DE number 4075890
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Spectral properties of certain operators on Hardy spaces of planar regions |
scientific article; zbMATH DE number 4075890 |
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Spectral properties of certain operators on Hardy spaces of planar regions (English)
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1987
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The essential spectrum of the multiplication operator \(M_{\phi}f=\phi f\) on Hardy space \(H^ p(G)\), \(1\leq p\leq \infty\) is calculated. Here \(\phi\) is any bounded analytic function on any region G in the complex plane. The special case in which G is bounded and \(\phi (z)=z\) is studied in detail.
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essential spectrum of the multiplication operator
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bounded analytic function
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