Mohammadhasani, A., Ilkhanizadeh Manesh, A. (2017). Linear preservers of Miranda-Thompson majorization on MM;N. Wavelet and Linear Algebra, 4(2), 25-32. doi: 10.22072/wala.2017.61736.1113

Ahmad Mohammadhasani; Asma Ilkhanizadeh Manesh. "Linear preservers of Miranda-Thompson majorization on MM;N". Wavelet and Linear Algebra, 4, 2, 2017, 25-32. doi: 10.22072/wala.2017.61736.1113

Mohammadhasani, A., Ilkhanizadeh Manesh, A. (2017). 'Linear preservers of Miranda-Thompson majorization on MM;N', Wavelet and Linear Algebra, 4(2), pp. 25-32. doi: 10.22072/wala.2017.61736.1113

Mohammadhasani, A., Ilkhanizadeh Manesh, A. Linear preservers of Miranda-Thompson majorization on MM;N. Wavelet and Linear Algebra, 2017; 4(2): 25-32. doi: 10.22072/wala.2017.61736.1113

Linear preservers of Miranda-Thompson majorization on MM;N

^{1}Department of Mathematics, Sirjan University of technology, Sirjan, Iran

^{2}Vali-e-Asr University of Rafsanjan

Abstract

Miranda-Thompson majorization is a group-induced cone ordering on $\mathbb{R}^{n}$ induced by the group of generalized permutation with determinants equal to 1. In this paper, we generalize Miranda-Thompson majorization on the matrices. For $X$, $Y\in M_{m,n}$, $X$ is said to be Miranda-Thompson majorized by $Y$ (denoted by $X\prec_{mt}Y$) if there exists some $D\in \rm{Conv(G)}$ such that $X=DY$. Also, we characterize linear preservers of this concept on $M_{m,n}$.

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