[Banach] Abstract of a paper by Daniel Carando, Veronica Dimant, Pablo Sevilla-Peris and Roman Villafane

This is an announcement for the paper "Diagonal extendible multilinear operators between $\ell_p$-spaces" by Daniel Carando, Veronica Dimant, Pablo Sevilla-Peris and Roman Villafane.

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 $\ell_p$.

Archive classification: math.FA

Mathematics Subject Classification: 47H60, 46B45, 46G25

Submitted from: rvillafa@dm.uba.ar

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/1403.4577

or

http://arXiv.org/abs/1403.4577