We found a match
Your institution may have rights to this item. Sign in to continue.
- Title
Nonlinear Maps Preserving a Family of Sum of Triple Products on ∗-Algebras.
- Authors
Ferreira, João Carlos da Motta; Marietto, Maria das Graças Bruno
- 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 Φ : A → B preserving the sum of triple products α 1 a b c + α 2 a ∗ c b + α 3 b a ∗ c + α 4 c a b + α 5 b c a + α 6 c b a ∗ , for all elements a , b , c ∈ A , where the scalars { α k } k = 1 6 are complex numbers satisfying some conditions. Applications of obtained results are presented.
- Subjects
COMPLEX numbers
- Publication
Bulletin of the Iranian Mathematical Society, 2022, Vol 48, Issue 6, p3687
- ISSN
1018-6301
- Publication type
Article
- DOI
10.1007/s41980-022-00713-z