Characterization of the Maximal Ideal of Operators Associated to the Tensor Norm Defined by an Orlicz Function

Abstract

Given an Orlicz function $H$ satisfying the $\Delta_2$ property at zero, one can use the Orlicz sequence space $\mathcal l_H$ to define a tensor norm $g^c_H$ and the minimal ($H^c$-nuclear) and maximal ($H^c$-integral) operator ideals associated to $g^c_H$ in the sense of Defant and Floret. The aim of this paper is to characterize $H^c$-integral operators by a factorization theorem.