G-tridiagonal majorization on Mn,m

Ahmad Mohammadhasani , Yamin Sayyari , Mahdi Sabzvari (1)

1 Hormozgan University

For X, Y ∈ M n,m , it is said that X is g-tridiagonal majorized by Y (and it is denoted by X ≺gt Y) if there exists a tridiagonal g-doubly stochastic matrix A such that X = AY. In this paper, the linear preservers and strong linear preservers of ≺gt are characterized on M n,m .

Domaines: Mathématiques [math]

Ahmad Mohammadhasani, Yamin Sayyari, Mahdi Sabzvari. G-tridiagonal majorization on Mn,m. Communications in Mathematics, 2021, Volume 29 (2021), Issue 3 (3), pp.395 - 405. ⟨10.2478/cm-2021-0027⟩. ⟨hal-03665027⟩