linear preservers of g-row and g-column majorization on m_{n,m}
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abstract
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.
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Journal title:
bulletin of the iranian mathematical societyجلد ۳۹، شماره ۵، صفحات ۸۶۵-۸۸۰
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