Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4599093 | Linear Algebra and its Applications | 2015 | 10 Pages |
Abstract
Let Mn(C) be the algebra of all complex nÃn matrices. Let x0 be a nonzero vector in Cn. We describe maps Ï on Mn(C) (not linear or surjective) satisfyingÏT±S(x0)âÏ(Ï(T)±Ï(S)) for all T,SâMn(C). We also obtain a similar description by supposing that Ï is surjective and ÏÏ(T)±Ï(S)(x0)âÏ(T±S) for all T,SâMn(C).
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Hassane Benbouziane, Mustapha Ech-Cherif El Kettani,