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.

引用

页码：1413 / 1422

页数：10

共 8 条

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Li, Changjing
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[J]. FILOMAT, 2023, 37 (08) : 2397 - 2403
[8] Nonlinear maps preserving the Jordan triple *-product between factors
Zhao, Fangfang
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