TY - JOUR ID - 255180 TI - Automatic Continuity of Almost $n$-Multiplicative Linear Functionals JO - Sahand Communications in Mathematical Analysis JA - SCMA LA - en SN - 2322-5807 AU - Zivari-Kazempour, Abbas AD - Department of Mathematics, Ayatollah Borujerdi University, Borujerd, Iran. Y1 - 2022 PY - 2022 VL - 19 IS - 4 SP - 97 EP - 107 KW - Almost n-multiplicative KW - Almost n-Jordan homomorphism KW - Automatic continuity KW - Semisimple DO - 10.22130/scma.2022.549567.1065 N2 - 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. UR - https://scma.maragheh.ac.ir/article_255180.html L1 - https://scma.maragheh.ac.ir/article_255180_2caea4110a982112f722080ec32a3b3d.pdf ER -