Automatic Continuity of Almost Mixed Jordan Homomorphism between Fr echet Algebras

In this paper, the notation of (weakly) almost Mixed Jordan homomorphism between Fr echet algebras is intruduced. It is proven that, under special hypotheses, every weakly almost Mixed Jordan ho- momorphism between Fr echet algebras A and B is a weakly almost homomorphism. Also is generalized the automatic continuity of (weakly) almost Mixed Jordan homomorphism between certain class of Fr echet algebras, including Fr echet Q-algebras.

Keywords:

almost Mixed Jordan homomorphism , almost homomorphism , Dense range , Fr echet alge-bras , Q-algebras.