Linear Preservers of Chain Majorization
For (n×m matrices) X, Y ∈ Mnm(R)(= Mnm), we say X is chain majorized by Y and write X ≺≺ Y if X = RY where R is a product of finitely many T-transforms. A linear operator T : Mnm → Mnm is said to be a linear preserver of the relation ≺≺ on Mnm if X ≺≺ Y implies that T X ≺≺ T Y . Also, it is said...
Main Author: | |
---|---|
Format: | Article |
Language: | English |
Published: |
Islamic Azad University
2008-03-01
|
Series: | Journal of Mathematical Extension |
Online Access: | http://ijmex.com/index.php/ijmex/article/view/35 |