Linear preservers of two-sided matrix majorization
عنوان مقاله: Linear preservers of two-sided matrix majorization
شناسه ملی مقاله: JR_WALA-1-1_005
منتشر شده در در سال 1393
شناسه ملی مقاله: JR_WALA-1-1_005
منتشر شده در در سال 1393
مشخصات نویسندگان مقاله:
F. Khalooei - Department of Mathmatics, Faculty of Mathmatics, Shahid Bahonar University of Kerman, Kerman, Islamic Republic of Iran
خلاصه مقاله:
F. Khalooei - Department of Mathmatics, Faculty of Mathmatics, Shahid Bahonar University of Kerman, Kerman, Islamic Republic of Iran
For vectors X, Y ∈ Rn, it is said that X is left matrix majorized by Y if for some row stochastic matrix R; X = RY. The relation X ∼` Y, is defined as follows: X ∼` Y if and only if X is left matrix majorized by Y and Y is left matrix majorized by X. A linear operator T : Rp → Rn is said to be a linear preserver of a given relation ≺ if X ≺ Y on Rp implies that T X ≺ TY on Rn. The linear preservers of ≺` from Rp to Rn are characterized before. In this parer we characterize the linear preservers of ∼` from Rp to Rn, p ≥ ۳. In fact we show that the linear preservers of ∼` from Rp to Rn are the same as the linear preservers of ≺` from Rp to Rn, but for p = ۲, they are not the same.
کلمات کلیدی: Linear preservers, Matrix majorization, Row stochastic matrix
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1902907/