Linear preservers of even majorization on M _{<i>n</i> , <i>m</i>}

Abstract

Let be the algebra of all real matrices. An real matrix is even doubly stochastic if it is a convex combination of even permutation matrices. For , is said to be even majorized by (written as ), if there exists an even doubly stochastic matrix such that . In this paper, the concept of even majorization is investigated and then the linear preservers and strong linear preservers of this concept are characterized on .