Continuity of derivations on 𝐻*-algebras

Villena, A. R.

doi:10.1090/S0002-9939-1994-1207543-9

Continuity of derivations on $H^ \ast$-algebras
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by A. R. Villena

Proc. Amer. Math. Soc. 122 (1994), 821-826

DOI: https://doi.org/10.1090/S0002-9939-1994-1207543-9

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Abstract:

We prove that the separating subspace for a derivation on a nonassociative ${H^ \ast }$-algebra is contained in the annihilator of the algebra. In particular, derivations on nonassociative ${H^\ast }$-algebras with zero annihilator are continuous.

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