TY - JOUR
ID - 3510
TI - A class of certain properties of approximately n-multiplicative maps between locally multiplicatively convex algebras
JO - International Journal of Nonlinear Analysis and Applications
JA - IJNAA
LA - en
SN - 2008-6822
AU - Heidarpour, Zohre
AU - Ansari-Piri, Esmaeil
AU - Shayanpour, Hamid
AU - Zohri, Ali
AD - Department of Mathematics, Payame Noor University, P.O. Box 19395-3697 Tehran, Iran
AD - Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran
AD - Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Shahrekord, P. O. Box 88186-34141, Shahrekord, Iran
Y1 - 2018
PY - 2018
VL - 9
IS - 2
SP - 111
EP - 116
KW - Almost multiplicative maps
KW - n-homomorphism maps
KW - approximately n-multiplicatives
KW - LMC algebras
DO - 10.22075/ijnaa.2018.3510
N2 - We extend the notion of approximately multiplicative to approximately n-multiplicative maps between locally multiplicatively convex algebras and study some properties of these maps. We prove that every approximately n-multiplicative linear functional on a functionally continuous locally multiplicatively convex algebra is continuous. We also study the relationship between approximately multiplicative linear functionals and approximately n-multiplicative linear functionals.
UR - https://ijnaa.semnan.ac.ir/article_3510.html
L1 - https://ijnaa.semnan.ac.ir/article_3510_7ba671699220e09a6a455a6e8874ad8b.pdf
ER -