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Continuity of derivations on $$H^*$$-algebras. (English) Zbl 0822.46061
Summary: We prove that the separating subspace for a derivation of a nonassociative $$H^*$$-algebra is contained in the annihilator of the algebra. In particular, derivations on nonassociative $$H^*$$-algebras with zero annihilator are continuous.

##### MSC:
 46H40 Automatic continuity
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