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- W2057329076 abstract "Abstract Let A be a Banach algebra and let B be an ultraprime Banach algebra. If Φ: A → B is a surjective continuous linear map which tends to satisfy the Jordan multiplicativity condition, then we show that Φ comes near to satisfy either the multiplicativity or the anti-multiplicativity condition. In fact, we give a quantitative estimate of this phenomenon. Furthermore, we estimate how much a continuous linear map Δ: B → B approaches to satisfy the derivation identity in the case when Δ tends to satisfy the Jordan derivation identity Keywords: homomorphismanti-homomorphismJordan homomorphismderivationJordan derivationultraprime Banach algebraAMS Subject Classifications:: Primary: 17C65Secondary: 47B48 Acknolwedgements The authors were supported by MICINN Grant MTM2009–07498 and Junta de Andalucía Grants FQM-185 and FQM-4911." @default.
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- W2057329076 date "2012-08-01" @default.
- W2057329076 modified "2023-10-03" @default.
- W2057329076 title "Metric versions of Herstein's theorems on Jordan maps" @default.
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- W2057329076 doi "https://doi.org/10.1080/03081087.2011.634416" @default.
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