H. Saidi
Department of Science, University of Birjand, P.O. Box 414, Birjand 9717851367, Birjand, Iran
[ 1 ] - Characterization of Lie higher Derivations on $C^{*}$-algebras
Let $mathcal{A}$ be a $C^*$-algebra and $Z(mathcal{A})$ the center of $mathcal{A}$. A sequence ${L_{n}}_{n=0}^{infty}$ of linear mappings on $mathcal{A}$ with $L_{0}=I$, where $I$ is the identity mapping on $mathcal{A}$, is called a Lie higher derivation if $L_{n}[x,y]=sum_{i+j=n} [L_{i}x,L_{j}y]$ for all $x,y in mathcal{A}$ and all $ngeqslant0$. We show that ${L_{n}}_{n...
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