Linear preservers on triangular matrices
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W.L. Chooi; M.H. Lim
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Article
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1998
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Elsevier Science
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English
β 780 KB
Let T,(F) denote the vector space of all n x n upper triangular matrices over a field F. We characterize those linear transformations T on T,,(F) that satisfy one of the following properties: (1) T preserves rank one matrices; (2) T preserves both singular and nonsingular matrices; (3) T is nonsin