Journal of Mahani Mathematical Research

Journal of Mahani Mathematical Research

Linear preservers ‎of acu-majorization on ‎$‎‎\mathbb{R}^3‎$ and ‎$‎M_{3,m}‎$‎‎‎

Document Type : Research Paper

Author
Mohammad Soleymani
Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran
10.22103/jmmr.2023.22019.1490
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
majorization
group majorization
circulant majorization
linear preservers
Subjects
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  • Receive Date 12 August 2023
  • Revise Date 19 December 2023
  • Accept Date 28 December 2023