Czechoslovak Mathematical Journal

Czechoslovak Mathematical Journal, Vol. 74, No. 4, pp. 1275-1288, 2024

Linear preservers of rc-majorization on matrices

Mohammad Soleymani

Received July 21, 2024. Published online October 29, 2024.

Abstract: Let $A$, $B$ be $n \times m$ matrices. The concept of matrix majorization means the $j$th column of $A$ is majorized by the $j$th column of $B$ and this is done for all $j$ by a doubly stochastic matrix $D$. We define rc-majorization that extended matrix majorization to columns and rows of matrices. Also, the linear preservers of rc-majorization will be characterized.

Keywords: matrix majorization; linear preserver; permutation

Classification MSC: 15B51, 15A86

DOI: 10.21136/CMJ.2024.0301-24

PDF available at: Springer Institute of Mathematics CAS Digital Mathematics Library

References:
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Affiliations: Mohammad Soleymani, Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran, e-mail: m.soleymani@uk.ac.ir

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