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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| Main Authors: | , |
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| Format: | Conference or Workshop Item |
| Published: |
2007
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| Subjects: | |
| 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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| Summary: | 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. |
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