C^\ast $-代数上的映射是一点上的斜李三重导数或同态

IF 1.8 3区数学 Q1 MATHEMATICS

AIMS Mathematics Pub Date : 2023-01-01 DOI:10.3934/math.20231305

Zhonghua Wang, Xiuhai Fei

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引用次数: 0

摘要

本文证明了一元C^\ast $-代数之间的每一个连续线性映射在单位上都是偏李三重可导的，是一元C^\ast $-导数;一元C^\ast $-代数之间的每一个连续线性映射在单位上都是偏李三重同态的，是Jordan $ \ast $-同态。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Maps on $ C^\ast $-algebras are skew Lie triple derivations or homomorphisms at one point

In this paper, we show that every continuous linear map between unital $ C^\ast $-algebras is skew Lie triple derivable at the identity is a $ \ast $-derivation and that every continuous linear map between unital $ C^\ast $-algebras which is a skew Lie triple homomorphism at the identity is a Jordan $ \ast $-homomorphism.

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来源期刊

AIMS Mathematics Mathematics-General Mathematics

CiteScore

3.40

自引率

13.60%

发文量

769

审稿时长

90 days

期刊介绍： AIMS Mathematics is an international Open Access journal devoted to publishing peer-reviewed, high quality, original papers in all fields of mathematics. We publish the following article types: original research articles, reviews, editorials, letters, and conference reports.