Automatic continuity of almost conjugate Jordan homomorphism on Fr$\acute{\text{e}}$chet $Q$-algebras

Document Type : Research Paper

Author

Department of Basic Sciences,Kermanshah University of Technology, Kermanshah, Iran

Abstract

In this paper, the notation of almost conjugate Jordan homomorphism between Fr$\acute{\mathbf{\text{e}}}$chet algebras is introduced. It is proven that, under special hypotheses, every  almost conjugate Jordan homomorphism on  Fr$\acute{\mathbf{\text{e}}}$chet algebras is an (weakly) almost homomorphism. Also, the automatic continuity of them is generalized.

Keywords