Non-linear triple product A*B - B*A derivations on *-algebras
Let 𝒜 be a unital prime *-algebra that possesses a nontrivial projection, and let Φ : 𝒜 → 𝒜 be a non-linear map which satisfies Φ(A ◇ B ◇ C) = Φ(A)◇ B ◇ C + A ◇ Φ(B) ◇ C + A ◇ B ◇ Φ(C) for all A, B, C∈𝒜, where A ◇ B = A*B - B*A. Then, if Φ(α I⁄2) is self-adjoint map for α∈ {1,i} we show...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
University Constantin Brancusi of Targu-Jiu
2024-02-01
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| Series: | Surveys in Mathematics and its Applications |
| Subjects: | |
| Online Access: | https://www.utgjiu.ro/math/sma/v19/p19_04.pdf |