A characterization of Jordan and 5-Jordan homomorphisms between Banach algebras

被引：6

作者：

Zivari-Kazempour, A. ^{[1
]}

机构：

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

来源：

ASIAN-EUROPEAN JOURNAL OF MATHEMATICS | 2018年 / 11卷 / 02期

关键词：

n-Jordan homomorphism; n-homomorphism; semisimple; semiprime;

D O I：

10.1142/S1793557118500213

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that each surjective Jordan homomorphism from a Banach algebra A onto a semiprime commutative Banach algebra B is a homomorphism, and each 5-Jordan homomorphism from a unital Banach algebra A into a semisimple commutative Banach algebra B is a 5-homomorphism.

引用

页数：10

共 50 条

[1] Approximation of Jordan Homomorphisms in Jordan Banach Algebras
Gordji, Madjid Eshaghi
Samani, Najmeh Karimipour
Park, Choonkil
IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS, 2013, 8 (01): : 39 - 47
[2] Approximation of Jordan homomorphisms in Jordan-Banach algebras
Gordji, Madjid Eshaghi
Samani, Najmeh Karimipour
Park, Choonkil
MATHEMATICAL SCIENCES, 2012, 6 (01)
[3] Characterization of n-Jordan Homomorphisms and Automatic Continuity of 3-Jordan Homomorphisms on Banach Algebras
A. Zivari-Kazempour
Iranian Journal of Science and Technology, Transactions A: Science, 2020, 44 : 213 - 218
[4] Characterization of n-Jordan Homomorphisms and Automatic Continuity of 3-Jordan Homomorphisms on Banach Algebras
Zivari-Kazempour, A.
IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, 2020, 44 (A1): : 213 - 218
[5] n-Jordan homomorphisms and pseudo n-Jordan homomorphisms on Banach algebras
Ebadian, Ali
Jabbari, Ali
Kanzi, Nader
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2017, 14 (06)
[6] JORDAN HOMOMORPHISMS AND DERIVATIONS ON SEMISIMPLE BANACH ALGEBRAS
SINCLAIR, AM
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1970, 24 (01) : 209 - &
[7] RETRACTED ARTICLE: Approximation of Jordan homomorphisms in Jordan-Banach algebras
Madjid Eshaghi Gordji
Najmeh Karimipour Samani
Choonkil Park
Mathematical Sciences, 2012, 6 (1)
[8] Retraction Note to: Approximation of Jordan homomorphisms in Jordan-Banach algebras
Madjid Eshaghi Gordji
Najmeh Karimipour Samani
Choonkil Park
Mathematical Sciences, 2015, 9 (1) : 57 - 57
[9] Characterization of n-Jordan homomorphisms and their automatic continuity on banach algebras
Zivari-Kazempour A.
ANNALI DELL'UNIVERSITA' DI FERRARA, 2023, 69 (1) : 263 - 271
[10] JORDAN STAR HOMOMORPHISMS BETWEEN REDUCED BANACH STAR-ALGEBRAS
PALMER, TW
PACIFIC JOURNAL OF MATHEMATICS, 1975, 58 (01) : 169 - 178

← 1 2 3 4 5 →