Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4614377 | Journal of Mathematical Analysis and Applications | 2016 | 10 Pages |
Abstract
We prove that given a unital C⁎C⁎-algebra AA and an additive and surjective map T:A→MnT:A→Mn such that the spectrum of T(x)T(x) is a subset of the spectrum of x for each x∈Ax∈A, then T is either an algebra morphism, or an algebra anti-morphism. We arrive at the same conclusion for an arbitrary unital, complex Banach algebra AA, by imposing an extra surjectivity condition on the map T.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Constantin Costara,