Linear preservers of acu-majorization on $\mathbb{R}^3$ and $M_{3,m}$
Author(s):
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
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 $M_{3,m}$.
Keywords:
Language:
English
Published:
Journal of Mahani Mathematical Research, Volume:13 Issue: 2, Summer and Autumn 2024
Pages:
199 to 208
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