Linear preservers of two-sided matrix majorization
دریافت مدرک
FullText
اندازه فایل:
1.287 مگابایتنوع فايل (MIME):
PDFنوع مدرک
TextResearch Paper
زبان مدرک
Englishچکیده
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 ≥ 3. 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 = 2, they are not the same.
کلید واژگان
Linear preserversMatrix majorization
Row stochastic matrix
شماره نشریه
1تاریخ نشر
2014-08-011393-05-10
ناشر
Vali-e-Asr university of Rafsanjanسازمان پدید آورنده
Department of Mathmatics, Faculty of Mathmatics, Shahid Bahonar University of Kerman, Kerman, Islamic Republic of Iranشاپا
2383-19362476-3926
