Closed range multipliers (Q549560)
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scientific article; zbMATH DE number 5924872
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Closed range multipliers |
scientific article; zbMATH DE number 5924872 |
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Closed range multipliers (English)
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18 July 2011
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The main result of the paper is the following: Let \(K\) be a locally compact abelian group and let \(T\) be a Fourier multiplier operator of \(L^2(G)\) such that \(T(L^2)\) is closed. Then \(L^2(G)=\) \(T(L^2) \oplus \operatorname{Ker} T\) and \(T\) is the product of an idempotent and an invertible multiplier operator.
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multiplier operators
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idempotent multipliers
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invertible multipliers
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0.88295424
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0.84695584
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