Linear preservers of majorization on ${\ell }^p(I)$

Abstract

In this paper, using doubly stochastic operators, we have extended the notion of majorization to the space ${\ell }^p(I)$, where $I$ is assumed to be an infinite set, and then, in the case $p\in (1,+\infty )$, characterize the structure of all bounded linear maps on this space which preserves majorization.

References in corpus (1)

• Diagonals of self-adjoint operators