In this note, we present an equivalent condition for linear preservers of group majorization induced by closed subgroup $G$ of $O(\mathbb{R}^n)$. Moreover, a new concept of majorization is defined on $\mathbb{R}^3$ as acu-majorization and this is extended for $3 \times m$ matrices. Then we characterize all its linear preservers on $\mathbb{R}^3$ and $M_{3,m}$.
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Articles in Press, Accepted Manuscript Available Online from 30 December 2023
Soleymani, M. (2023). Linear preservers of acu-majorization on $\mathbb{R}^3$ and $M_{3,m}$. Journal of Mahani Mathematical Research, (), 199-208. doi: 10.22103/jmmr.2023.22019.1490
MLA
Mohammad Soleymani. "Linear preservers of acu-majorization on $\mathbb{R}^3$ and $M_{3,m}$". Journal of Mahani Mathematical Research, , , 2023, 199-208. doi: 10.22103/jmmr.2023.22019.1490
HARVARD
Soleymani, M. (2023). 'Linear preservers of acu-majorization on $\mathbb{R}^3$ and $M_{3,m}$', Journal of Mahani Mathematical Research, (), pp. 199-208. doi: 10.22103/jmmr.2023.22019.1490
VANCOUVER
Soleymani, M. Linear preservers of acu-majorization on $\mathbb{R}^3$ and $M_{3,m}$. Journal of Mahani Mathematical Research, 2023; (): 199-208. doi: 10.22103/jmmr.2023.22019.1490
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