Hilbert-Schmidt and multiple summing operators (Q692058)
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scientific article; zbMATH DE number 6112450
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Hilbert-Schmidt and multiple summing operators |
scientific article; zbMATH DE number 6112450 |
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Hilbert-Schmidt and multiple summing operators (English)
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4 December 2012
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The main result of the paper is a characterization of multiple \(p\)-summing operators for \(p\geq2\) in the case where the range and some of the factors of the Cartesian product are Hilbert spaces. Some coincidence results for multiple \(p\)-summing operators are obtained as a consequence of the aforementioned characterization. The last section presents a lot of interesting examples of summing operators.
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multiple \(p\)-summing operator
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Hilbert-Schmidt operator
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coincidence theorems
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