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Derivations on Jordan-Banach algebras. (English) Zbl 0855.46030
Summary: We establish that all derivations on a semisimple Jordan-Banach algebra are automatically continuous. By showing that “almost all” primitive ideals in the algebra are invariant under a given derivation, the general case is reduced to that of primitive Jordan-Banach algebras.

MSC:
46H40 Automatic continuity
46H70 Nonassociative topological algebras
17C65 Jordan structures on Banach spaces and algebras
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