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.
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页数：10
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