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- W2807647522 abstract "Grothendieck's theorem asserts that every continuous linear operator from $ell_1$ to $ell_2$ is absolutely $(1,1)$-summing. This kind of result is commonly called coincidence result. In this paper we investigate coincidence results in the multilinear setting, showing how the cotype of the spaces involved affect such results. The special role played by $ell_1$ spaces is also investigated with relation to interpolation of tensor products. In particular, an open problem on the interpolation of $m$ injective tensor products is solved." @default.
- W2807647522 created "2018-06-13" @default.
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- W2807647522 date "2018-05-31" @default.
- W2807647522 modified "2023-09-27" @default.
- W2807647522 title "On coincidence results for summing multilinear operators: interpolation, $ell_1$-spaces and cotype" @default.
- W2807647522 cites W2514262703 @default.
- W2807647522 doi "https://doi.org/10.48550/arxiv.1805.12500" @default.
- W2807647522 hasPublicationYear "2018" @default.
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