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 ͨ...
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Universidad Católica del Norte, Departamento de Matemáticas
2020
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oai:scielo:S0716-091720200002004672020-05-06Non-linear new product A ∗ B − B ∗ A derivations on ∗-algebrasTaghavi,A.Razeghi,M. New product derivation: Prime ∗-algebra Additive map 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.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.39 n.2 20202020-04-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000200467en10.22199/issn.0717-6279-2020-02-0029 |
| institution |
Scielo Chile |
| collection |
Scielo Chile |
| language |
English |
| topic |
New product derivation: Prime ∗-algebra Additive map |
| spellingShingle |
New product derivation: Prime ∗-algebra Additive map Taghavi,A. Razeghi,M. Non-linear new product A ∗ B − B ∗ A derivations on ∗-algebras |
| description |
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. |
| author |
Taghavi,A. Razeghi,M. |
| author_facet |
Taghavi,A. Razeghi,M. |
| author_sort |
Taghavi,A. |
| title |
Non-linear new product A ∗ B − B ∗ A derivations on ∗-algebras |
| title_short |
Non-linear new product A ∗ B − B ∗ A derivations on ∗-algebras |
| title_full |
Non-linear new product A ∗ B − B ∗ A derivations on ∗-algebras |
| title_fullStr |
Non-linear new product A ∗ B − B ∗ A derivations on ∗-algebras |
| title_full_unstemmed |
Non-linear new product A ∗ B − B ∗ A derivations on ∗-algebras |
| title_sort |
non-linear new product a ∗ b − b ∗ a derivations on ∗-algebras |
| publisher |
Universidad Católica del Norte, Departamento de Matemáticas |
| publishDate |
2020 |
| url |
http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000200467 |
| work_keys_str_mv |
AT taghavia nonlinearnewproducta8727b8722b8727aderivationson8727algebras AT razeghim nonlinearnewproducta8727b8722b8727aderivationson8727algebras |
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1718439870650646528 |