Nonlinear maps preserving sums of triple products on ∗-algebras

被引：0
|
作者：
da Motta Ferreira, Joao Carlos [1 ]
das Gracas Bruno Marietto, Maria [1 ]
机构：
[1] Fed Univ ABC, Ctr Math Comp & Cognit, Ave Estados 5001, BR-09210580 Santo Andre, Brazil
来源：
FILOMAT | 2024年 / 38卷 / 04期
关键词：
Preserving problems; Prime algebras; *-algebras; *-ring isomorphisms; ASTERISK-PRODUCT;
D O I：
10.2298/FIL2404413F
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 complex *-algebras such that A has a nontrivial projection. In this paper, we study the structure of bijective nonlinear maps phi : A -> B preserving sum of triple products alpha 1abc + alpha 2a*cb* + alpha 3ba*c + alpha 4cab* + alpha 5bca + alpha 6cb*a*, where the scalars {alpha k}6k=1 are complex numbers satisfying some conditions.
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收藏
页码：1413 / 1422
页数：10
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