Cohen弱核多线性算子

On Cohen weakly nuclear multilinear operators

本文介绍并研究Banach空间上一类新的多线性算子,称为Cohen弱p-核多线性算子.本文为这一类新的多线性算子建立了相应的Pietsch控制定理.作为应用,本文证明了每个Cohen弱p-核多线性算子都是强p-可和的并且也是Cohen强p-可和的.

In this paper, we introduce and study a new class of multilinear operators on Banach spaces, called Cohen weakly p-nuclear multilinear operators. We establish a Pietsch domination theorem for this new class of multilinear operators. As an application, we show that every Cohen weakly p-nuclear multilinear operator is strongly p-summing and Cohen strongly p-summing.