Automatic Continuity of Almost n-Multiplicative Linear Functionals

We generalize a theorem due to Jarosz, by proving that every almost n-multiplicative linear functional on Banach algebra A is automatically continuous. The relation between almost multiplicative and almost n-multiplicative linear functional on Banach algebra A is also investigated. Additionally, for commutative Banach algebra A, we prove that every almost Jordan homomorphism \varphi:A\longrightarrow \mathbb{C} is an almost n-Jordan homomorphism.

کلیدواژه ها:

Almost n-multiplicative ، Almost n-Jordan homomorphism ، Automatic continuity ، Semisimple