%0 Journal Article %A Ebadian, A. %A Eshaghi Gordji, M. %T Left Jordan derivations on Banach algebras %J Iranian Journal of Mathematical Sciences and Informatics %V 6 %N 1 %U http://ijmsi.ir/article-1-189-en.html %R 10.7508/ijmsi.2011.01.001 %D 2011 %K Left Jordan derivation, von Neumann algebra., %X In this paper we characterize the left Jordan derivations on Banach algebras. Also, it is shown that every bounded linear map $d:mathcal Ato mathcal M$ from a von Neumann algebra $mathcal A$ into a Banach $mathcal A-$module $mathcal M$ with property that $d(p^2)=2pd(p)$ for every projection $p$ in $mathcal A$ is a left Jordan derivation. %> http://ijmsi.ir/article-1-189-en.pdf %P 1-6 %& 1 %! %9 Research paper %L A-10-1-87 %+ %G eng %@ 1735-4463 %[ 2011