| Strong linear preservers of ut-Toeplitz weak majorization on $\mathbb{R}^{n}$ |
| M. Jamshidi |
Abstract Let $x, y \in {R}^{n}$, we say $x$ is ut-Toeplitz weak majorized by $y$ (written as $x\prec_ {uT}y$) if there exists an upper triangular substochastic Toeplitz matrix $A$ such that $x=Ay$. In this paper, we characterize all linear functions that strongly preserve $\prec_ {uT}$ on ${R}^n$.
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Keywords: Substochastic matrix; ut-Toeplitz weak majorization; linear preserver. |
MSC: 15A04, 15A21 |
Pages: 161--166 |
Volume 70 , Issue 2 , 2018 |
