Département de Mathématiques et de Statistique, Université Laval, Québec, Canada G1K 7P4
Abstract:
Given two semisimple complex Jordan-Banach algebras with identity and , we say that is a spectrum preserving linear mapping from to if is surjective and we have , for all . We prove that if is a scattered Jordan-Banach algebra, then is a Jordan isomorphism.