Geul - Sinclair 's non - aggregate theorem - applied empirical study H*

In this paper, we generalized the Jewell-Sinclair theorem to include not only associative Banach algebra but also the nonassociative Banach algebra. Our methods in extend Jewell-Sinclair theorem is based on the theory of multiplication algebra of an arbitrary algebra and another techniques, which is the standard method in the nonassociative context in the Spanish school.<br /> Furthermore, we give as an application example of our generalization for the Jewell-Sinclair theorem the well-known result proved by Rodriguez that assert the automatic continuity of a surjective homomorphisim on a nonassociative f f*- algebras, Our proof is based on essence the same lines of Rodriguez proof.