Strong linear preservers of ut-Toeplitz weak majorization on $\mathbb{R}^{n}$

M. Jamshidi

Strong linear preservers of ut-Toeplitz weak majorization on $R^{n}$

Authors

M. Jamshidi Department of Mathematics, Faculty of Sciences and Modern Technologies, Graduate University of Advanced Technology, Kerman, Iran Author

Keywords:

Substochastic matrix, ut-Toeplitz weak majorization, linear preserver

Subjects:

15A04, 15A21

Abstract

Let $x, y \in R^{n}$ , we say $x$ is ut-Toeplitz weak majorized by $y$ (written as $x ≺_{u T} y$ ) if there exists an upper triangular substochastic Toeplitz matrix $A$ such that $x = A y$ . In this paper, we characterize all linear functions that strongly preserve $≺_{u T}$ on $R^{n}$ .