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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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 |
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doaj-a6ae74d6d3954b91ab9f83ee9c0bb0e22020-11-25T03:42:53ZengIslamic 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 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
P. Torabian |
| spellingShingle |
P. Torabian Linear Preservers of Chain Majorization Journal of Mathematical Extension |
| author_facet |
P. Torabian |
| author_sort |
P. Torabian |
| title |
Linear Preservers of Chain Majorization |
| title_short |
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_sort |
linear preservers of chain majorization |
| publisher |
Islamic Azad University |
| series |
Journal of Mathematical Extension |
| issn |
1735-8299 1735-8299 |
| publishDate |
2008-03-01 |
| 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
≺≺ |
| url |
http://ijmex.com/index.php/ijmex/article/view/35 |
| work_keys_str_mv |
AT ptorabian linearpreserversofchainmajorization |
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1724522846916444160 |