On \(\tau\)-compactness of products of \(\tau\)-measurable operators (Q682635)
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scientific article; zbMATH DE number 6834004
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On \(\tau\)-compactness of products of \(\tau\)-measurable operators |
scientific article; zbMATH DE number 6834004 |
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On \(\tau\)-compactness of products of \(\tau\)-measurable operators (English)
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5 February 2018
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Let \(\mathcal M\) be a von Neumann algebra of operators on a Hilbert space \(\mathcal H\), and \(\tau\) a faithful normal semifinite trace on \(\mathcal M\). Criteria for \(\tau\)-compactness of products of \(\tau\)-measurable operators are proved. Some applications to symmetric spaces of \(\tau\)-measurable operators are also obtained.
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Hilbert space
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linear operator
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von Neumann algebra
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normal semifinite trace
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\(\tau\)-measurable operator
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\(\tau\)-compact operator
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elementary operator
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integrable operator
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rearrangement
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