Linear Preservers of Chain Majorization
For (n×m matrices) X, Y ∈ Mnm(R)(= Mnm), we say X is chain majorized by Y and write X ≺≺ Y if X = RY where R is a product of finitely many T-transforms. A linear operator T : Mnm → Mnm is said to be a linear preserver of the relation ≺≺ on Mnm if X ≺≺ Y implies that T X ≺≺ T Y . Also, it is said...
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| Format: | Article |
| Language: | English |
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Islamic Azad University
2008-03-01
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| Series: | Journal of Mathematical Extension |
| Online Access: | http://ijmex.com/index.php/ijmex/article/view/35 |
| _version_ | 1828850938538885120 |
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| author | P. Torabian |
| author_facet | P. Torabian |
| author_sort | P. Torabian |
| collection | DOAJ |
| description | For (n×m matrices) X, Y ∈ Mnm(R)(= Mnm), we say
X is chain majorized by Y and write X ≺≺ Y if X = RY where
R is a product of finitely many T-transforms. A linear operator
T : Mnm → Mnm is said to be a linear preserver of the relation ≺≺
on Mnm if X ≺≺ Y implies that T X ≺≺ T Y . Also, it is said to
be strong linear preserver if X ≺≺ Y is equivalent to T X ≺≺ T Y .
In this paper we characterize linear and strong linear preservers of
≺≺ |
| first_indexed | 2024-12-12T23:22:14Z |
| format | Article |
| id | doaj.art-a6ae74d6d3954b91ab9f83ee9c0bb0e2 |
| institution | Directory Open Access Journal |
| issn | 1735-8299 1735-8299 |
| language | English |
| last_indexed | 2024-12-12T23:22:14Z |
| publishDate | 2008-03-01 |
| publisher | Islamic Azad University |
| record_format | Article |
| series | Journal of Mathematical Extension |
| spelling | doaj.art-a6ae74d6d3954b91ab9f83ee9c0bb0e22022-12-22T00:08:14ZengIslamic Azad UniversityJournal of Mathematical Extension1735-82991735-82992008-03-0131111Linear Preservers of Chain MajorizationP. Torabian0Islamic Azad University-Jahrom BranchFor (n×m matrices) X, Y ∈ Mnm(R)(= Mnm), we say X is chain majorized by Y and write X ≺≺ Y if X = RY where R is a product of finitely many T-transforms. A linear operator T : Mnm → Mnm is said to be a linear preserver of the relation ≺≺ on Mnm if X ≺≺ Y implies that T X ≺≺ T Y . Also, it is said to be strong linear preserver if X ≺≺ Y is equivalent to T X ≺≺ T Y . In this paper we characterize linear and strong linear preservers of ≺≺http://ijmex.com/index.php/ijmex/article/view/35 |
| spellingShingle | P. Torabian Linear Preservers of Chain Majorization Journal of Mathematical Extension |
| title | Linear Preservers of Chain Majorization |
| title_full | Linear Preservers of Chain Majorization |
| title_fullStr | Linear Preservers of Chain Majorization |
| title_full_unstemmed | Linear Preservers of Chain Majorization |
| title_short | Linear Preservers of Chain Majorization |
| title_sort | linear preservers of chain majorization |
| url | http://ijmex.com/index.php/ijmex/article/view/35 |
| work_keys_str_mv | AT ptorabian linearpreserversofchainmajorization |