AUTOMATIC CONTINUITY OF 3-HOMOMORPHISMS ON TERNARY BANACH ALGEBRAS

被引：4

作者：

Gordji, Madjid Eshaghi ^{[1
,2
]}

Jabbari, Ali ^{[3
]}

Ebadian, Ali ^{[4
]}

Ostadbashi, Saeid ^{[5
]}

机构：

[1] Semnan Univ, Dept Math, Semnan, Iran

[2] Semnan Univ, CENAA, Semnan, Iran

[3] Islamic Azad Univ, Young Researchers Club, Ardabil Branch, Ardebil, Iran

[4] Payame Noor Univ, Dept Math, Tehran, Iran

[5] Urmia Univ, Dept Math, Orumiyeh, Iran

来源：

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS | 2013年 / 10卷 / 10期

关键词：

Homomorphism; 3-homomorphism; semisimple; ternary Banach algebras;

D O I：

10.1142/S0219887813200132

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper we consider automatic continuity of 3-homomorphism and anti-3-homomorphism between non-unital ternary Banach algebras. We show that every surjective 3-homomorphism (anti-3-homomorphism) from ternary Banach algebra A into semisimple ternary Banach algebra B is continuous.

引用

页数：7

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[10] AUTOMATIC CONTINUITY OF SURJECTIVE n-HOMOMORPHISMS ON BANACH ALGEBRAS
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