A class of certain properties of approximately n-multiplicative maps between locally multiplicatively convex algebras

نویسندگان
Ansari-Piri, Esmaeil ID 1
Shayanpour, Hamid ID 2
Zohri, Ali ID 3
Heidarpour, Zohre ID 4

1 Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran

2 Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Shahrekord, P. O. Box 88186-34141, Shahrekord, Iran

3 Department of Mathematics, Payame Noor University, P.O. Box 19395-3697 Tehran, Iran

4 Department of Mathematics, Payame Noor University, P.O. Box 19395-3697 Tehran, Iran

doi
10.22075/ijnaa.2018.3510
چکیده

‎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.

کلیدواژه‌ها
Almost multiplicative maps, n-homomorphism maps, approximately n-multiplicatives, LMC algebras