Jewell-Sinclair theorem and the automatic continuity of a derivation

Abstract

Abstract Villena's theorem ensure the automatic continuity of a derivation on a non-associative H*-algebra with zero annihilator. In this paper, we formulate the Jewell-Sinclair theorem in a non-associative content, and we show that the Villena's theorem may be also followed from our formulation of such theorem.

Keywords

• jewell-sinclair theorem
• automatic continuity
• villena's theorem