Derivations mapping into the socle, II

Author:

Brešar Matej

Abstract

Let A \mathcal A be a unital Banach algebra. Several characterizations of continuous derivations of A \mathcal A having only elements with finite spectrum in their ranges are obtained. In particular, if A \mathcal A is semisimple, then such derivations map A \mathcal A into its socle.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

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