We introduce and study a new concept of strongly -summing m-linear operators in the category of operator spaces. We give some characterizations of this notion such as the Pietsch domination theorem and we show that an m-linear operator is strongly -summing if and only if its adjoint is -summing.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm111-1-6,
author = {Lahc\`ene Mezrag},
title = {On strongly $l\_{p}$-summing m-linear operators},
journal = {Colloquium Mathematicae},
volume = {111},
year = {2008},
pages = {59-70},
zbl = {1163.46031},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm111-1-6}
}
Lahcène Mezrag. On strongly $l_{p}$-summing m-linear operators. Colloquium Mathematicae, Tome 111 (2008) pp. 59-70. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm111-1-6/