Title of article :
Nonlinear *-Lie higher derivations on factor von Neumann algebras
Author/Authors :
Zhang ، F. - Xi an University of Posts and Telecommunications , Qi ، X. - Shanxi University , ZHANG ، J. - Shaanxi Normal University
Abstract :
Let M be a factor von Neumann algebra. It is shown that every nonlinear ∗-Lie higher derivation D=ϕnn∈N on M is additive. In particular, if M is infinite type I factor, a concrete characterization of D is given.
Keywords :
Von Neumann algebra , nonlinear * , Lie higher derivation , additive * , higher derivation
Journal title :
Bulletin of the Iranian Mathematical Society
Journal title :
Bulletin of the Iranian Mathematical Society
