Author/Authors :
Heidarpour, Zohre Department of Mathematics - Payame Noor University, Tehran , Ansari-piri, Esmaeil Faculty of Mathematical Sciences - University of Guilan, Rasht , Shayanpour, Hamid Department of Pure Mathematics - Faculty of Mathematical Sciences - University of Shahrekord, Shahrekord , Zohri, Ali Department of Mathematics - Payame Noor University, Tehran
Abstract :
We extend the notion of approximately multiplicative to approximately n-multiplicative maps be-
tween 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 mul-
tiplicatively convex algebra is continuous. We also study the relationship between approximately
multiplicative linear functionals and approximately n-multiplicative linear functionals.
Keywords :
Almost multiplicative maps , n-homomorphism maps , Approximately n-multiplicatives , LMC algebras
