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...

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Veröffentlicht in:AIMS mathematics 2023-09, Vol.8 (11), p.25564-25571
Hauptverfasser: Wang, Zhonghua, Fei, Xiuhai
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.20231305