保留 * 轴上乘积之和α1ab* + α2ba + α3ba（即Α1ab* + α2ba + α3ab）的映射

Pub Date : 2023-01-01 DOI:10.2298/fil2309799t

Ali Taghavi, Motta da, Maria Marietto

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引用次数: 0

摘要

设A和B是两个一元素数复代数，使得A有一个非平凡投影。本文研究了双射映射的结构。？一个吗?B保存产物的总和?1ab* + ?2b*a + ?3ba*(代表)， (1ab* + 2b*a + 3a*b)，其中标量{?K}3k =1是满足一定条件的有理数。

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Mappings preserving sum of products α1ab* + α2b*a + α3ba* (resp., Α1ab* + α2b*a + α3a*b) on *-algebras

Let A and B be two unital prime complex *-algebras such that A has a nontrivial projection. In this paper, we study the structure of the bijective mappings ? ? A ? B preserving sum of products ?1ab* + ?2b*a + ?3ba* (resp., ?1ab* + ?2b*a + ?3a*b), where the scalars {?k}3k =1 are rational numbers satisfying some conditions.

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