In this work we investigate a natural preorder on c0, the Banach space of all
real sequences tend to zero with the supremum norm, which is said to be
?convex majorization?. Some interesting properties of all bounded linear
operators T : c0 ? c0, preserving the convex majorization, are given and we
characterize such operators.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.