On linear preservers of g-tridiagonal majorization on RnRn

For vectors x,y∈Rnx,y∈Rn, it is said that x is g-tridiagonal majorized by y   (written as x≺gtyx≺gty) if there exists a tridiagonal g-doubly stochastic matrix D   such that x=Dyx=Dy. In this paper, we continue the previous work (Armandnejad and Gashool (2012) [3]) and give a complete characterization of linear operators preserving ≺gt≺gt on RnRn.