سال انتشار: ۱۳۸۶

محل انتشار: سی و هشتمین کنفرانس ریاضی ایران

تعداد صفحات: ۳

نویسنده(ها):

a ARMANDNAJAD – Department of Mathematics, Vali-Asr University of Rafsanjan, Iran
A SALEMI – Department of Mathematics, Shahid Bahoner University of Kerman, Iran

چکیده:

Let Mn,m be the set of all n*m real matrices.Matrix RЄMn with the property Re=e, is said to be a g-row stochastic (generalized row stochastic) matrix. Let A,B Є Mn,m, so B is said to be gw-majorized by A if there exists an n*n g-row stochastic matrix R such that B=RA. In this paper we characterize all linear operators that strongly preserve gw-majorization on Mn,m and all linear operators that strongly preserve matrix majorization on Mn.