| Authors | Mohsen Niazi |
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| Journal | Advances in Operator Theory |
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| Page number | 0-0 |
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| Paper Type | Full Paper |
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| Journal Type | Typographic |
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| Journal Country | Iran, Islamic Republic Of |
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| Journal Index | Scopus |
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| Keywords | C*, algebra, Jordan triple, Ternary module, Ternary derivation, Quadratic Jordan product |
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Abstract
We study mappings T from a unital C*-algebra A into its dual space,A*, which satisfy the ternary derivation identity with respect to the quadratic Jordan product. We prove that whenever A admits a projection p that is Murray--von Neumann equivalent to 1-p, such mappings are automatically additive and conjugate homogeneous over Q+iQ, and they become ternary derivations when they are continuous.
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