TY - JOUR JF - IJMSI JO - IJMSI VL - 6 IS - 1 PY - 2011 Y1 - 2011/5/01 TI - Left Jordan derivations on Banach algebras TT - N2 - 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. SP - 1 EP - 6 AU - Ebadian, A. AU - Eshaghi Gordji, M. AD - KW - Left Jordan derivation KW - von Neumann algebra. UR - http://ijmsi.ir/article-1-189-en.html DO - 10.7508/ijmsi.2011.01.001 ER -