دوره 6، شماره 1 - ( 2-1390 )
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Ebadian A, Eshaghi Gordji M. Left Jordan derivations on Banach algebras. IJMSI 2011; 6 (1) :1-6
URL: http://ijmsi.ir/article-1-189-fa.html
URL: http://ijmsi.ir/article-1-189-fa.html
Left Jordan derivations on Banach algebras. مجله علوم ریاضی و انفورماتیک. 1390; 6 (1) :1-6
چکیده:
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.
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