Automatic continuity of almost 3-homomorphisms and almost 3-Jordan homomorphisms

被引：3

作者：

Zivari-Kazempour, Abbas ^{[1
]}

机构：

[1] Ayatollah Borujerdi Univ, Dept Math, Borujerd, Iran

来源：

ADVANCES IN OPERATOR THEORY | 2020年 / 5卷 / 04期

关键词：

n-Homomorphism; Almost n-Jordan homomorphism; Automatic continuity; Semisimple; N-JORDAN HOMOMORPHISMS;

D O I：

10.1007/s43036-020-00043-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a Banach algebra A and a semisimple commutative Banach algebra B, we prove that every 3-homomorphism phi:A & x27f6;B is automatically continuous, and we generalize this result for almost 3-homomorphism. We also investigate the automatic continuity of almost 3-Jordan homomorphisms and show that if A is a commutative Banach algebra, then every almost 3-Jordan homomorphism phi:A & x27f6;C is automatically continuous.

引用

页码：1340 / 1349

页数：10

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