Title of article :
The Second Nonlinear Mixed Jordan Triple Derivable Mapping on Factor von Neumann Algebras
Author/Authors :
Pang ، Yongfeng School of Science - Xi’an University of Architecture and Technology , Zhang ، Danli School of Science - Xi’an University of Architecture and Technology , Ma ، Dong China - School of Science - Xi’an University of Architecture and Technology
Abstract :
Let M be a factor von Neumann algebra on a complex separable Hilbert space H with dim M 1. We proved that if Φ : M → M is a second nonlinear mixed Jordan triple derivable mapping, that is, Φ(A ◦ B • C) = Φ(A) ◦ B • C + A ◦ Φ(B) • C + A ◦ B • Φ(C) for all A, B, C ∈ M, then Φ is an additive ∗-derivation.
Keywords :
Von Neumann algebra · The second nonlinear mixed Jordan triple derivable mapping ·∗ , derivation
Journal title :
Bulletin of the Iranian Mathematical Society
Journal title :
Bulletin of the Iranian Mathematical Society
