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 Linear derivations in Banach algebras Bull. Korean Math. Soc. 2001 Vol. 38, No. 3, 443-447 Yong-Soo Jung Chungnam National University Abstract : The main goal of this paper is to show the following: Let $d$ and $g$ be (continuous or discontinuous) linear derivations on a Banach algebra $A$ over a complex field $\Bbb C$ such that $\alpha d^{3}+dg$ is a linear Jordan derivation for some $\alpha \in \Bbb C$. Then the product $dg$ maps $A$ into the Jacobson radical of $A$. Keywords : Banach algebra, derivation, Jacobson radical MSC numbers : Primary 47B47; Secondary 46H40 Downloads: Full-text PDF