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

Farid Bahrami, Ali Bayati, Mahmood Manjegani

Published 2011-07-31Version 1

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.