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 |
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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. |
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ISSN: | 2473-6988 2473-6988 |
DOI: | 10.3934/math.20231305 |