On the Fourier analysis for \(L^2\) operator-valued functions (Q2002217)
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scientific article; zbMATH DE number 7079473
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the Fourier analysis for \(L^2\) operator-valued functions |
scientific article; zbMATH DE number 7079473 |
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On the Fourier analysis for \(L^2\) operator-valued functions (English)
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11 July 2019
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Let \(G\) be a locally compact group, and let \(\mathbb B(H)\) be the algebra of all bounded operators on a Hilbert space. The authors endow the set of square integrable \(\mathbb B(H)\)-valued functions on \(G\) with a pre-Hilbert \(C^*\)-module structure. They also define a version of Fourier transform for such functions. For the entire collection see [Zbl 1411.00032].
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Fourier transform
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Hilbert module
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Hilbert-Schmidt operator
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topological group
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