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Heidarpour, Zohre, Ansari-Piri, Esmaeil, Shayanpour, Hamid, Zohri, Ali. (1397). A class of certain properties of approximately n-multiplicative maps between locally multiplicatively convex algebras. هنرهای کاربردی, 9(2), 111-116. doi: 10.22075/ijnaa.2018.3510
Zohre Heidarpour; Esmaeil Ansari-Piri; Hamid Shayanpour; Ali Zohri. "A class of certain properties of approximately n-multiplicative maps between locally multiplicatively convex algebras". هنرهای کاربردی, 9, 2, 1397, 111-116. doi: 10.22075/ijnaa.2018.3510
Heidarpour, Zohre, Ansari-Piri, Esmaeil, Shayanpour, Hamid, Zohri, Ali. (1397). 'A class of certain properties of approximately n-multiplicative maps between locally multiplicatively convex algebras', هنرهای کاربردی, 9(2), pp. 111-116. doi: 10.22075/ijnaa.2018.3510
Heidarpour, Zohre, Ansari-Piri, Esmaeil, Shayanpour, Hamid, Zohri, Ali. A class of certain properties of approximately n-multiplicative maps between locally multiplicatively convex algebras. هنرهای کاربردی, 1397; 9(2): 111-116. doi: 10.22075/ijnaa.2018.3510

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

International Journal of Nonlinear Analysis and Applications
مقاله 9، دوره 9، شماره 2، اسفند 2018، صفحه 111-116    اصل مقاله (339.94 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2018.3510
نویسندگان
Zohre Heidarpour1؛ Esmaeil Ansari-Piri2؛ Hamid Shayanpour3؛ Ali Zohri* 1
1Department of Mathematics, Payame Noor University, P.O. Box 19395-3697 Tehran, Iran
2Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran
3Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Shahrekord, P. O. Box 88186-34141, Shahrekord, Iran
تاریخ دریافت: 19 اسفند 1395،  تاریخ بازنگری: 20 آذر 1396،  تاریخ پذیرش: 26 آذر 1396 
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
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