Non-linear new product A*B-B*A derivations on *-algebras

• Taghavi, Ali ^[1] ; Razeghi, M.
  1. [1] University of Mazandaran

     University of Mazandaran

     Irán

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 39, Nº. 2, 2020, págs. 467-479
• Idioma: inglés
• DOI: 10.22199/issn.0717-6279-2020-02-0029
• Enlaces
  • Texto completo
• Resumen

  • Let A be a prime ∗-algebra with unit I and a nontrivial projection. Then the map Φ : A → A satisfies in the following condition Φ(A ⋄ B) = Φ(A) ⋄ B + A ⋄ Φ(B) where A⋄ B = A∗B −B∗A for all A, B ∈ A, is additive. Moreover, if Φ(αI) is self-adjoint operator for α ∈ {1, i} then Φ is a ∗-derivation.

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