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Linear preservers of acu-majorization on $\mathbb{R}^3$ and $M_{3,m}$ | ||
| Journal of Mahani Mathematical Research | ||
| دوره 13، شماره 2 - شماره پیاپی 27، آبان 2024، صفحه 199-208 اصل مقاله (547.61 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22103/jmmr.2023.22019.1490 | ||
| نویسنده | ||
| Mohammad Soleymani* | ||
| Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran | ||
| چکیده | ||
| 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 $M_{3,m}$. | ||
| کلیدواژه‌ها | ||
| majorization؛ group majorization؛ circulant majorization؛ linear preservers | ||
| مراجع | ||
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[6] Mohtashami S., Salemi A., & Soleymani M. (2019). Linear preservers of circulant majorization on rectangular matrices. Linear and Multilinear Algebra, 67(8), 1554-1560. https://doi.org/10.1080/03081087.2018.1461187
[7] Niezgoda M. (2001). Linear maps preserving group majorization. Linear Algebra and its Applications, 330, 113-127. https://doi.org/10.1016/S0024-3795(01)00257-9
[8] Steerneman A.G.M. (1990). group-induced cone orderings and re ection groups. Linear Algebra and its Applications, 119, 107-119. https://doi.org/10.1016/0024-3795(90)90338-D | ||
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آمار تعداد مشاهده مقاله: 103 تعداد دریافت فایل اصل مقاله: 109 |
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