Title of article :
Nonlinear Maps Preserving a Family of Sum of Triple Products on ∗-Algebras
Author/Authors :
Ferreira ، João Carlos da Motta Center for Mathematics, Computing and Cognition - Federal University of ABC , Marietto ، Maria das Graças Bruno Center for Mathematics, Computing and Cognition - Federal University of ABC
Abstract :
Let A and B be two unital prime complex ∗-algebras such that A has a nontrivial projection. In this paper, we study the structure of a bijective map : A → B preserving the sum of triple products α1abc+α2a∗cb+α3ba∗c+α4cab+α5bca +α6cba∗, for all elements a, b, c ∈ A, where the scalars {αk }6k=1 are complex numbers satisfying some conditions. Applications of obtained results are presented.
Keywords :
Preserving problems , Prime algebras , ∗ , Algebras , ∗Ring isomorphisms
Journal title :
Bulletin of the Iranian Mathematical Society
Journal title :
Bulletin of the Iranian Mathematical Society
