Title of article :
Lie higher derivations on B(X)
Author/Authors :
Ebrahimi, S. Department of Mathematics - Payame Noor University, Tehran
Abstract :
Let X be a Banach space of dimX > 2 and B(X) be the space of bounded linear
operators on X. If L : B(X) ! B(X) be a Lie higher derivation on B(X), then there exists
an additive higher derivation D and a linear map : B(X) ! FI vanishing at commutators
[A;B] for all A;B 2 B(X) such that L = D + .
Keywords :
Lie higher derivations , higher derivations
Journal title :
Astroparticle Physics