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arXiv · 1403.4577

Diagonal extendible multilinear operators between $\ell_p$-spaces

Daniel Carando·Verónica Dimant·Pablo Sevilla-Peris·Román Villafañe
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Abstract

We study extendibility of diagonal multilinear operators from $\ell_p$ to $\ell_q$ spaces. We determine the values of $p$ and $q$ for which every diagonal $n$-linear operator is extendible, and those for which the only extendible ones are integral. We address the same question for multilinear forms on $\ell_p$.

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Daniel Carando, Verónica Dimant, Pablo Sevilla-Peris, Román Villafañe. 2014-03-18. Diagonal extendible multilinear operators between $\ell_p$-spaces. https://arxiv.org/abs/1403.4577

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