This is an announcement for the paper "Some remarks on absolutely summing multilinear operators" by Adriano Thiago L. Bernardino and Daniel Pellegrino.
Abstract: This short note has a twofold purpose: (i) to answer a question from a recent paper of D. Popa on multilinear variants of Pietsch's composition theorem for absolutely summing operators. More precisely, we show that there is a natural (and very simple) perfect extension of Pietsch's composition theorem to the multilinear setting; (ii) to investigate extensions of some results of the aforementioned paper for particular situations, by exploring cotype properties of the spaces involved.
Archive classification: math.FA
Remarks: 7 pages
Submitted from: dmpellegrino@gmail.com
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/1101.2119
or