Vanishing Power Values of Commutators with Derivations on Prime Rings
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Lie higher derivations on $B(X)$
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 $A, Bin B(X)$ such that $L = D + tau$.
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ورودعنوان ژورنال:
- Int. J. Math. Mathematical Sciences
دوره 2009 شماره
صفحات -
تاریخ انتشار 2009