PSEUDO n-JORDAN HOMOMORPHISMS AND PSEUDO n-HOMOMORPHISMS ON BANACH ALGEBRAS

被引：1
|
作者：
Ebadian, Ali [1 ]
Gordji, Madjid Eshaghi [2 ]
Jabbari, Ali [3 ]
机构：
[1] Urmia Univ, Fac Sci, Dept Math, Orumiyeh, Iran
[2] Semnan Univ, Dept Math, Semnan, Iran
[3] Islamic Azad Univ, Young Researchers & Elite Club, Ardebil, Iran
来源：
HONAM MATHEMATICAL JOURNAL | 2020年 / 42卷 / 02期
关键词：
Homomorphism; Jordan homomorphism; n-Jordan homomorphism; Pseudo n-homomorphism; Pseudo n-Jordan homomorphism; AUTOMATIC-CONTINUITY;
D O I：
10.5831/HMJ.2020.42.2.411
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we correct some errors and typos of [2] and introduce a new concept related to pseudo n-Jordan homomorphisms, that we call it pseudo n-homomorphism. We investigate automatic continuity and positivity of pseudo n-homomorphisms and pseudo n-Jordan homomorphisms on Banach algebras and C*-algebras. Moreover, we show that the sum of two pseudo n-Jordan homomorphisms is not a pseudo n-Jordan homomorphism and we show that under some conditions the sum of two pseudo n-Jordan homomorphisms is a pseudo n-Jordan homomorphism.
引用
收藏
页码：411 / 423
页数：13
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