MATEMATIČKI VESNIK
МАТЕМАТИЧКИ ВЕСНИК



MATEMATIČKI VESNIK
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