The structure of Jordan contractible Banach algebras

被引：0
|
作者：
Valaei, Mohammad [1 ]
Haddadi, Mohammad Reza [1 ]
机构：
[1] Ayatollah Borujerdi Univ, Dept Math, Borujerd, Iran
来源：
JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2024年 / 23卷 / 11期
关键词：
Banach algebra; Jordan diagonal; Jordan biprojective; Jordan derivation; ALL-DERIVABLE POINTS; DERIVATIONS; AMENABILITY; OPERATOR;
D O I：
10.1142/S0219498824501718
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we define the Jordan notions of contractibility and biprojectivity of Banach algebras and comparing to the classical notions of contractibility and biprojectivity. Also, we introduce the notion of Jordan diagonal and find relations between these Jordan notions. As a main result, we show that the Banach algebra U is unital and Jordan contractible if and only if it has a Jordan diagonal if and only if U is unital and Jordan biprojective, whenever U (circle times) over capU is a Banach (U, U-op)-bimodule.
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页数：13
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