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

IF 1.8 3区 数学 Q1 MATHEMATICS
Zhonghua Wang, Xiuhai Fei
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引用次数: 0

Abstract

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.
C^\ast $-代数上的映射是一点上的斜李三重导数或同态
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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来源期刊
AIMS Mathematics
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.
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