Non-linear new product A ∗ B − B ∗ A derivations on ∗-algebras
Abstract 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 ͨ...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2020 |
| País: | Chile |
| Institución: | CONICYT Chile |
| Repositorio: | SciELO Chile |
| OAI Identifier: | oai:scielo:S0716-09172020000200467 |
| Acceso en línea: | http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000200467 |
| Access Level: | acceso abierto |
| Palabra clave: | New product derivation: Prime ∗-algebra Additive map |
| Sumario: | Abstract 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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