This is an announcement for the paper "Absolutely summing multilinear operators on $\ell_p$ spaces" by O. Blasco, G. Botelho, D, Pellegrino, and P. Rueda.

Abstract: We prove new summability properties for multilinear operators on $\ell_p$ spaces. An important tool for this task is a better understanding of the interplay between almost summing and absolutely summing multilinear operators.

Archive classification: math.FA

Submitted from: pellegrino@pq.cnpq.br

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

http://front.math.ucdavis.edu/1404.1322

or

http://arXiv.org/abs/1404.1322