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Additive rank-one preservers on block triangular matrix spaces

โœ Scribed by W.L. Chooi; M.H. Lim

Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
247 KB
Volume
416
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)

Some linear preserver problems on block
Some linear preserver problems on block triangular matrix algebras
โœ Wai-Leong Chooi; Ming-Huat Lim ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 206 KB

In this article we classify rank-one nonincreasing maps ฯˆ on n-square block triangular matrix algebras with the assumption that ฯˆ(I n ) is of rank n. As applications, we obtain complete classifications of adjugate-commuting maps, and compound-commuting maps on block triangular matrix algebras.