| Ub-Majorization on Mm;n and its Linear Preservers1 |
| کد مقاله : 1011-SLAA10 |
| نویسندگان |
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اسما ایلخانی زاده منش * دانشگاه ولیعصر رفسنجان |
| چکیده مقاله |
| An n-by-n real matrix (not necessarily nonnegative) R is g-row balanced (generalized row balanced) if all its row sums are zero. Let A, B 2 Mn;m. Then A is said to be ub-majorized by B (denoted by A ≺ub B) if A = RB, for some n-by-n upper triangular g-row balanced matrix R. We wish to find the structure of all (strong) linear preservers of ≺ub on Rn and strong linear preservers of ≺ub on Mn;m. |
| کلیدواژه ها |
| Doubly stochastic matrix, matrix majorization, row stochastic matrix. |
| وضعیت: پذیرفته شده مشروط برای ارائه به صورت پوستر |