SGLT-MAJORIZATION ON Mn,m AND ITS LINEAR PRESERVERS
A matrix R is said to be g-row substochastic if Re ≤ e. For X, Y ∈ Mn,m, it is said that X is sglt-majorized by Y , X ≺sglt Y , if there exists an n-by-n lower triangular g-row substochastic matrix R such that X = RY . This paper characterizes all (strong) linear preservers and strong linear preserv...
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| Format: | Article |
| Language: | English |
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Shahid Bahonar University of Kerman
2018-10-01
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| Series: | Journal of Mahani Mathematical Research |
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| Online Access: | https://jmmrc.uk.ac.ir/article_2237_936c761d80a7ebccf96242eb1420b59d.pdf |
| _version_ | 1797802345755574272 |
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| author | Asma Ilkhanizadeh Manesh |
| author_facet | Asma Ilkhanizadeh Manesh |
| author_sort | Asma Ilkhanizadeh Manesh |
| collection | DOAJ |
| description | A matrix R is said to be g-row substochastic if Re ≤ e. For X, Y ∈ Mn,m, it is said that X is sglt-majorized by Y , X ≺sglt Y , if there exists an n-by-n lower triangular g-row substochastic matrix R such that X = RY . This paper characterizes all (strong) linear preservers and strong linear preservers of ≺sglt on Rn and Mn,m, respectively. |
| first_indexed | 2024-03-13T05:04:18Z |
| format | Article |
| id | doaj.art-edff1ca98dfa4e43810d978f8c8506fe |
| institution | Directory Open Access Journal |
| issn | 2645-4505 |
| language | English |
| last_indexed | 2024-03-13T05:04:18Z |
| publishDate | 2018-10-01 |
| publisher | Shahid Bahonar University of Kerman |
| record_format | Article |
| series | Journal of Mahani Mathematical Research |
| spelling | doaj.art-edff1ca98dfa4e43810d978f8c8506fe2023-06-17T04:08:10ZengShahid Bahonar University of KermanJournal of Mahani Mathematical Research2645-45052018-10-01729510410.22103/jmmrc.2019.12385.10612237SGLT-MAJORIZATION ON Mn,m AND ITS LINEAR PRESERVERSAsma Ilkhanizadeh Manesh0Department of Mathematics, vali-e-asr University, Rafsanjan, IranA matrix R is said to be g-row substochastic if Re ≤ e. For X, Y ∈ Mn,m, it is said that X is sglt-majorized by Y , X ≺sglt Y , if there exists an n-by-n lower triangular g-row substochastic matrix R such that X = RY . This paper characterizes all (strong) linear preservers and strong linear preservers of ≺sglt on Rn and Mn,m, respectively.https://jmmrc.uk.ac.ir/article_2237_936c761d80a7ebccf96242eb1420b59d.pdfg-row substochastic matrixsglt-majorization(strong) linear preserver |
| spellingShingle | Asma Ilkhanizadeh Manesh SGLT-MAJORIZATION ON Mn,m AND ITS LINEAR PRESERVERS Journal of Mahani Mathematical Research g-row substochastic matrix sglt-majorization (strong) linear preserver |
| title | SGLT-MAJORIZATION ON Mn,m AND ITS LINEAR PRESERVERS |
| title_full | SGLT-MAJORIZATION ON Mn,m AND ITS LINEAR PRESERVERS |
| title_fullStr | SGLT-MAJORIZATION ON Mn,m AND ITS LINEAR PRESERVERS |
| title_full_unstemmed | SGLT-MAJORIZATION ON Mn,m AND ITS LINEAR PRESERVERS |
| title_short | SGLT-MAJORIZATION ON Mn,m AND ITS LINEAR PRESERVERS |
| title_sort | sglt majorization on mn m and its linear preservers |
| topic | g-row substochastic matrix sglt-majorization (strong) linear preserver |
| url | https://jmmrc.uk.ac.ir/article_2237_936c761d80a7ebccf96242eb1420b59d.pdf |
| work_keys_str_mv | AT asmailkhanizadehmanesh sgltmajorizationonmnmanditslinearpreservers |