Strictly sub row Hadamard majorization
عنوان مقاله: Strictly sub row Hadamard majorization
شناسه ملی مقاله: JR_KJMMRC-11-1_012
منتشر شده در در سال 1401
شناسه ملی مقاله: JR_KJMMRC-11-1_012
منتشر شده در در سال 1401
مشخصات نویسندگان مقاله:
Abbas Askarizadeh - Department of Mathematics, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran
خلاصه مقاله:
Abbas Askarizadeh - Department of Mathematics, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran
Let \textbf{M}_{m,n} be the set of all m-by-n real matrices. A matrix R in \textbf{M}_{m,n} with nonnegative entries is called strictly sub row stochastic if the sum of entries on every row of R is less than ۱. For A,B\in\textbf{M}_{m,n}, we say that A is strictly sub row Hadamard majorized by B (denoted by A\prec_{SH}B) if there exists an m-by-n strictly sub row stochastic matrix R such that A=R\circ B where X \circ Y is the Hadamard product (entrywise product) of matrices X,Y\in\textbf{M}_{m,n}. In this paper, we introduce the concept of strictly sub row Hadamard majorization as a relation on \textbf{M}_{m,n}. Also, we find the structure of all linear operators T:\textbf{M}_{m,n} \rightarrow \textbf{M}_{m,n} which are preservers (resp. strong preservers) of strictly sub row Hadamard majorization.
کلمات کلیدی: Linear preserver, Strong linear preserver, Strictly sub row stochastic matrices
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1381804/