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Idempotence preserving maps on spaces of triangular matrices

✍ Scribed by Yuqiu Sheng; Baodong Zheng; Xian Zhang


Publisher
Springer-Verlag
Year
2007
Tongue
English
Weight
243 KB
Volume
25
Category
Article
ISSN
1598-5865

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πŸ“œ SIMILAR VOLUMES


Linear preservers on triangular matrices
✍ W.L. Chooi; M.H. Lim πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 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

Maps on matrix algebras preserving idemp
✍ Gregor Dolinar πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 115 KB

Let M n be the algebra of all n Γ— n complex matrices and P n the set of all idempotents in M n . Suppose Ο† : M n β†’ M n is a surjective map satisfying A -Ξ»B ∈ P n if and only if