| Slt-majorization and its linear preservers1 |
| کد مقاله : 1010-SLAA10 |
| نویسندگان |
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اسما ایلخانی زاده منش * دانشگاه ولیعصر رفسنجان |
| چکیده مقاله |
| Let Mn be the algebra of all n-by-n real matrices. A matrix R 2 Mn with nonnegative entries is called row substochastic if each row sum is at most 1. For x; y 2 Rn, we say that x is row substochastic lower triangular majorized by y (write as x ≺slt y ) if there exists a row substochastic lower triangular matrix R such that x = Ry. In this paper, the structure of all linear functions T : R2 ! R2, preserving (strongly preserving) ≺slt are characterized |
| کلیدواژه ها |
| (Strong) linear preserver, row substochastic matrices, slt-majorization |
| وضعیت: پذیرفته شده برای ارائه شفاهی |