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    1 - Lie higher derivations on $B(X)$
    20.1001.1.22520201.2015.04.03.3.9
    S. Ebrahimi
    Journal of Linear and Topological Algebra , Issue 4 , Year , Summer 2015
    Let $X$ be a Banach space of $\dim X > 2$ and $B(X)$ be the space of bounded linear operators on X. If $L : B(X)\to B(X)$ be a Lie higher derivation on $B(X)$, then there exists an additive higher derivation $D$ and a linear map $\tau : B(X)\to FI$ vanishing at commu More
    Let $X$ be a Banach space of $\dim X > 2$ and $B(X)$ be the space of bounded linear operators on X. If $L : B(X)\to B(X)$ be a Lie higher derivation on $B(X)$, then there exists an additive higher derivation $D$ and a linear map $\tau : B(X)\to FI$ vanishing at commutators $[A, B]$ for all $A, B\in B(X)$ such that $L = D + \tau$. Manuscript profile

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