Jordan product and fixed points preservers
Author
Elhodaibi, Mhamed
Elouazzani, Soufiane
Full text
https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/537510.22199/issn.0717-6279-5375
Abstract
Let B(X) be the space of all bounded linear operators on complex Banach space X. For A ∈ B(X), we denote by F(A) the subspace of all fixed points of A. In this paper, we study and characterize all surjective maps φ on B(X) satisfying
F(φ(T)φ(A) + φ(A)φ(T)) = F(T A + AT)
for all A, T ∈ B(X).