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