GLEASON-KAHANE-ZELAZKO THEOREM FOR BILINEAR MAPS

被引：0
|
作者：
Zivari-Kazempour, Abbas [1 ]
机构：
[1] Ayatollah Borujerdi Univ, Dept Math, Borujerd, Iran
来源：
ANNALES MATHEMATICAE SILESIANAE | 2022年 / 36卷 / 02期
关键词：
Gleason-Kahane-Zelazko theorem; preserves invertibility; bi-homomorphism; bi-Jordan homomorphism; BANACH; HOMOMORPHISMS;
D O I：
10.2478/amsil-2022-0017
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let A and B be two unital Banach algebras and U = A x B. We prove that the bilinear mapping phi : U -> C is a bi-Jordan homomorphism if and only if phi is unital, invertibility preserving and jointly continuous. Additionally, if U is commutative, then phi is a bi-homomorphism.
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页码：228 / 237
页数：10
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