Automatic continuity of dense range n-homomorphisms

被引：1

作者：

Zivari-Kazempour, Abbas ^{[1
]}

Mewomo, Oluwatosin Temitope ^{[2
]}

机构：

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

[2] Univ KwaZulu Natal, Sch Math Stat & Comp Sci, Durban, South Africa

来源：

BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA | 2022年 / 28卷 / 02期

关键词：

Automatic continuity; Dense range; n-homomorphism; Strongly semisimple; UNIQUENESS;

D O I：

10.1007/s40590-022-00449-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we investigate the automatic continuity of n-homomorphisms and n-Jordan homomorphisms between Banach algebras, and generalize some well-known results concerning the automatic continuity of homomorphisms and Jordan homomorphisms. In particular, we generalize a Rickart's theorem for dense range n-homomorphisms with the additional hypothesis that the Banach algebra A is unital.

引用

页数：10

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