Proceedings of the American Mathematical Society

Author(s): Matej Bresar
Journal: Proc. Amer. Math. Soc. 126 (1998), 181-187.
MSC (1991): Primary 46H05
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Abstract: Let $\mathcal A$ be a unital Banach algebra. Several characterizations of continuous derivations of $\mathcal A$ having only elements with finite spectrum in their ranges are obtained. In particular, if $\mathcal A$ is semisimple, then such derivations map $\mathcal A$ into its socle.

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