Preservers of matrix pairs with bounded distance
Let m, n and k be positive integers such that 2 · k < n · m. Let V denote either the vector space of all m£n matrices over a ¯eld with at least three elements or the vector space of all n £ n Hermitian matrices over a ¯eld F of characteristic 2 associated with an involution. We characterize su...
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2007
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| Online Access: | https://library.oum.edu.my/repository/183/1/preservers_of_matrix_pairs%5B1%5D.pdf https://library.oum.edu.my/repository/183/ |
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| _version_ | 1831338796155666432 |
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| author | Lim, Ming-Huat Tan , Joshua Juat-Huan |
| author_facet | Lim, Ming-Huat Tan , Joshua Juat-Huan |
| author_sort | Lim, Ming-Huat |
| building | OUM Library |
| collection | Institutional Repository |
| content_provider | Open University Malaysia |
| content_source | OUM Knowledge Repository |
| continent | Asia |
| country | Malaysia |
| description | Let m, n and k be positive integers such that 2 · k < n · m. Let V denote
either the vector space of all m£n matrices over a ¯eld with at least three elements
or the vector space of all n £ n Hermitian matrices over a ¯eld F of characteristic
2 associated with an involution. We characterize surjective mappings T from
onto itself such that for every pair A;B 2 V , rank(A ¡ B) · k if and only if
rank(T(A) ¡ T(B)) · k. |
| format | Conference or Workshop Item |
| id | my.oum.183 |
| institution | Open University Malaysia |
| publishDate | 2007 |
| record_format | eprints |
| spelling | my.oum.1832013-07-18T07:22:20Z Preservers of matrix pairs with bounded distance Lim, Ming-Huat Tan , Joshua Juat-Huan QA Mathematics Let m, n and k be positive integers such that 2 · k < n · m. Let V denote either the vector space of all m£n matrices over a ¯eld with at least three elements or the vector space of all n £ n Hermitian matrices over a ¯eld F of characteristic 2 associated with an involution. We characterize surjective mappings T from onto itself such that for every pair A;B 2 V , rank(A ¡ B) · k if and only if rank(T(A) ¡ T(B)) · k. 2007-12-05 Conference or Workshop Item PeerReviewed text https://library.oum.edu.my/repository/183/1/preservers_of_matrix_pairs%5B1%5D.pdf Lim, Ming-Huat and Tan , Joshua Juat-Huan (2007) Preservers of matrix pairs with bounded distance. In: The 3 rd IMT-GT 2007 Regional Conference on Mathematics, Statistics and Applications, 5-6 Dec 2007. https://library.oum.edu.my/repository/183/ |
| spellingShingle | QA Mathematics Lim, Ming-Huat Tan , Joshua Juat-Huan Preservers of matrix pairs with bounded distance |
| title | Preservers of matrix pairs with bounded distance |
| title_full | Preservers of matrix pairs with bounded distance |
| title_fullStr | Preservers of matrix pairs with bounded distance |
| title_full_unstemmed | Preservers of matrix pairs with bounded distance |
| title_short | Preservers of matrix pairs with bounded distance |
| title_sort | preservers of matrix pairs with bounded distance |
| topic | QA Mathematics |
| url | https://library.oum.edu.my/repository/183/1/preservers_of_matrix_pairs%5B1%5D.pdf https://library.oum.edu.my/repository/183/ |
| url_provider | http://library.oum.edu.my/repository/ |