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 A note on derivations of Banach algebras Bull. Korean Math. Soc. 1995 Vol. 32, No. 2, 367-372 Gwang Hui Kim University of Kangnam Abstract : Let $A$ be a (complex) Banach algebra. The object of this paper shall be remove the continuity of derivation in the recently theorems. We prove that every derivation $D$ on $A$ satisfying $[D(a), a] \in \text{Prad} (A)$ for all $a \in A$ maps into the radical of $A$. Also if $\alpha D^3 + D^2$ is a derivation for some $\alpha \in C$ and all minimal prime ideals are closed, then $D$ maps into its radical. Keywords : Downloads: Full-text PDF