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Additive preservers of rank-additivity on the spaces of symmetric and alternate matrices

โœ Scribed by Hong You; Xiao Min Tang

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
218 KB
Volume
380
Category
Article
ISSN
0024-3795

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๐Ÿ“œ SIMILAR VOLUMES

Additive preservers of rank-additivity o
Additive preservers of rank-additivity on matrix spaces
โœ Wai-Leong Chooi; Ming-Huat Lim ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 230 KB

Let F be a field. Let V denote the vector space of all m ร— n matrices over F or the vector space of all n ร— n symmetric matrices over F of characteristic not 2 or 3. For each fixed positive integer s 2, let Q s denote the set of all matrix pairs (A, B) in V such that rank(A + B) = rank(A) + rank(B)