Abstract of a paper by Adriano Thiago L. Bernardino and Daniel Pellegrino
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 http://arXiv.org/abs/1101.2119
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alspach@math.okstate.edu