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- W37371129 abstract "It is shown that if an odd mapping satisfies a generalized additive functional equation, then the odd mapping is Cauchy additive, and we prove the Cauchy-Rassias stability of linear mappings in Banach modules over a unital C*-algebra for the generalized additive functional equation. As an application, we show that every almost linear bijective mapping on a unital C*-algebra is an automorphism under some conditions, and that every almost linear bijective mapping of a unital Lie JC*-algebra onto a unital Lie JC*-algebra is a Lie JC*-algebra isomorphism under some conditions." @default.
- W37371129 created "2016-06-24" @default.
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- W37371129 date "2007-10-29" @default.
- W37371129 modified "2023-09-25" @default.
- W37371129 title "Automorphisms on a C*-algebra and isomorphisms between Lie JC*-algebras associated with a generalized additive mapping" @default.
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