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 -