Linear preservers of g-row and g-column majorization on M_{n,m}
نویسندگان
چکیده مقاله:
Let A and B be n × m matrices. The matrix B is said to be g-row majorized (respectively g-column majorized) by A, if every row (respectively column) of B, is g-majorized by the corresponding row (respectively column) of A. In this paper all kinds of g-majorization are studied on Mn,m, and the possible structure of their linear preservers will be found. Also all linear operators T : Mn,m ---> Mn,m preserving (or strongly preserving) g-row or g-column majorization will be characterized.
منابع مشابه
linear preservers of g-row and g-column majorization on m_{n,m}
let a and b be n × m matrices. the matrix b is said to be g-row majorized (respectively g-column majorized) by a, if every row (respectively column) of b, is g-majorized by the corresponding row (respectively column) of a. in this paper all kinds of g-majorization are studied on mn,m, and the possible structure of their linear preservers will be found. also all linear operators t : mn,m ---> mn...
متن کاملlinear preservers of g-row and g-column majorization on m_{n,m}
let a and b be n × m matrices. the matrix b is said to be g-row majorized (respectively g-column majorized) by a, if every row (respectively column) of b, is g-majorized by the corresponding row (respectively column) of a. in this paper all kinds of g-majorization are studied on mn,m, and the possible structure of their linear preservers will be found. also all linear operators t : mn,m ---> mn...
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عنوان ژورنال
دوره 39 شماره 5
صفحات 865- 880
تاریخ انتشار 2013-10-15
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