Almost Jordan homomorphisms on Frechet Algebras,, By Behrooz Olfatian Gillan

Research

Title	Almost Jordan homomorphisms on Frechet Algebras,
Type	JournalPaper
Keywords	Almost Jordan homomorphism, Almost multiplicative maps, Frechet algebras, Q-algebras, Automatic continuity.
Year	2020
Journal	Quaestiones Mathematicae
DOI
Researchers	Mohammad Reza Omidi ، Behrooz Olfatian Gillan ، Abas Zivari-Kazempour

Abstract

In this paper we study the notation of almost Jordan homomorphism between Frechet algebras. We show that if (A; (p_n)) is a Frechet algebra and T from A 􀀀in to C is a almost Jordan homomorphism, then either T is homomorphism, or it is continuous. Moreover, we prove that every almost Jordan homomorphism between two commutative Frechet algebras A and B is a almost homomorphism. We also investigate automatic continuity of almost Jordan homomorphism between Frechet Q-algebras.