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Approximately ternary homomorphisms and derivations on \(C^\ast\)-ternary algebras - MaRDI portal

Approximately ternary homomorphisms and derivations on \(C^\ast\)-ternary algebras (Q417233)

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scientific article; zbMATH DE number 6034269
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Approximately ternary homomorphisms and derivations on \(C^\ast\)-ternary algebras
scientific article; zbMATH DE number 6034269

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    Approximately ternary homomorphisms and derivations on \(C^\ast\)-ternary algebras (English)
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    14 May 2012
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    Summary: We investigate the stability and superstability of ternary homomorphisms between \(C^\ast\)-ternary algebras and derivations on \(C^\ast\)-ternary algebras, associated with the following functional equation \(f((x_2 - x_1)/3) + f((x_1 - 3x_3)/3) + f((3x_1 + 3x_3 - x_2)/3) = f(x_1)\).
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    stability
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    superstability
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    ternary homomorphism
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    derivations
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    \(C*\)-ternary algebras
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    functional equation
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