English

Diagonal extendible multilinear operators between $\ell_p$-spaces

Functional Analysis 2014-03-19 v1

Abstract

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

Keywords

Cite

@article{arxiv.1403.4577,
  title  = {Diagonal extendible multilinear operators between $\ell_p$-spaces},
  author = {Daniel Carando and Verónica Dimant and Pablo Sevilla-Peris and Román Villafañe},
  journal= {arXiv preprint arXiv:1403.4577},
  year   = {2014}
}
R2 v1 2026-06-22T03:29:22.488Z