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

Document Type: Research Paper

Authors

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

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

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

Abstract

‎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.

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