Linear preservers of majorization on lp(I)

In this paper we use doubly stochastic operators to extend the notion of majorization on lp, where I is assumed to be an infinite set and p∈(1,+∞), and then characterize the structure of all bounded linear maps on this space which preserve majorization. We will see that the two cases p∈(1,+∞) and p=1 lead to different structures.