On strongly $l_p$-summing $m$-linear operators
Volume 111 / 2008
Colloquium Mathematicum 111 (2008), 59-70
MSC: 46B15, 46B28, 47D15.
DOI: 10.4064/cm111-1-6
Abstract
We introduce and study a new concept of strongly $l_{p}$-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 $l_{p}$-summing if and only if its adjoint is $l_{p}$-summing.
