In this paper we prove the following result. Let A be a semisimple H*−algebra and let T : A → A be an additive mapping satisfying the relation (n + 1)T(xnm+1) = T(x)xnm + xmT(x)x(n−1)m + · · · + xnmT(x), for all x ∈ A and some fixed integers m ≥ 1, n ≥ 1. In this case T is a two-sided centralizer.
@article{1511,
title = {On Two-Sided Centralizers of Rings and Algebras},
journal = {CUBO, A Mathematical Journal},
volume = {10},
year = {2008},
language = {en},
url = {http://dml.mathdoc.fr/item/1511}
}
Vukman, Joso; Kosi-Ulbl, Irena. On Two-Sided Centralizers of Rings and Algebras. CUBO, A Mathematical Journal, Tome 10 (2008) . http://gdmltest.u-ga.fr/item/1511/