Some remarks on absolutely summing multilinear operators
Functional Analysis
2011-02-15 v3
Abstract
This short note has a twofold purpose: (i) to solve the question that motivates a recent paper of D. Popa on multilinear variants of Pietsch's composition theorem for absolutely summing operators. More precisely, we remark that there is a natural perfect extension of Pietsch's composition theorem to the multilinear and polynomial settings. This fact was overlooked in the aforementioned paper; (ii) to investigate extensions of some results of the aforementioned paper for particular situations, mainly by exploring cotype properties of the spaces involved.
Cite
@article{arxiv.1101.2119,
title = {Some remarks on absolutely summing multilinear operators},
author = {Adriano Thiago L. Bernardino and Daniel Pellegrino},
journal= {arXiv preprint arXiv:1101.2119},
year = {2011}
}
Comments
11 pages