Multilinear variants of Grothendieck's composition theorem (Q2807242)
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scientific article; zbMATH DE number 6583002
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Multilinear variants of Grothendieck's composition theorem |
scientific article; zbMATH DE number 6583002 |
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Multilinear variants of Grothendieck's composition theorem (English)
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19 May 2016
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\(p\)-summing
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multilinear operators
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multiple summing
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Hilbert-Schmidt
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nuclear operators
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0.93968195
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0.90717775
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0.89723015
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0.8890148
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0.8833925
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0.8828504
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0.8801324
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In the paper under review, the author proves two multilinear variants of the seminal Grothendieck composition theorem, which assures that the composition of two 2-summing operators is nuclear. The results invoke the connections between Hilbert-Schmidt and multiple summing operators. Also, some negative examples of multilinear variants of Grothendieck's composition theorem are presented.
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