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

Authors :
Zhonghua Wang
Xiuhai Fei
Source :
AIMS Mathematics, Vol 8, Iss 11, Pp 25564-25571 (2023)
Publication Year :
2023
Publisher :
AIMS Press, 2023.

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.

Details

Language :
English
ISSN :
24736988
Volume :
8
Issue :
11
Database :
Directory of Open Access Journals
Journal :
AIMS Mathematics
Publication Type :
Academic Journal
Accession number :
edsdoj.3803729a337445bdb506aa9f83c6813a
Document Type :
article
Full Text :
https://doi.org/10.3934/math.20231305?viewType=HTML