Journal of Mathematical Sciences: Advances and ApplicationsAuthor's: Jia Ji, Wen Zhang and Xiaofei Qi
Pages: [1] - [12]
Received Date: December 18, 2013
Submitted by:
Let 
be a von Neumann algebra without central
summands of type 
Suppose that 
is an additive map and 
is a scalar with 
Then 
satisfies 
for any 
with 
if and only if 
is in the center of 
and 
for all 
Particularly, if is linear, then is a derivation.
von Neumann algebras, derivations, Jordan products, 
derivations.
