Lie higher derivations on $B(X)$

Journal of Linear and Topological Algebra

مقاله 3، دوره 04، شماره 03، آبان 2015، صفحه 183-192   

نوع مقاله: Research Paper

نویسنده

S. Ebrahimi^*

Department of Mathematics, Payame Noor University, P.O. Box 19395-3697, Tehran, Iran.

چکیده

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 $L = D + \tau$.

کلیدواژه‌ها

Lie derivation؛ Lie higher derivations؛ higher derivations

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