On linear preservers of submajorization on ℓp(I)+, where p ∈ (1,∞)

Abstract

We study the structure of linear operators that preserve submajorization on the positive cone
ℓp(I)+, where p ∈ (1,∞) and I is an arbitrary nonempty set. Using a constructive approach, we show that
the set of all linear preservers is norm-closed.