E-viri
Recenzirano
-
Hosseini, A.
Annali dell'Università di Ferrara. Sezione 7. Scienze matematiche, 05/2018, Letnik: 64, Številka: 1Journal Article
Let M be a von Neumann algebra, and let T : M → M be a bounded linear map satisfying T ( P 2 ) = T ( P ) P + Ψ ( P , P ) for each projection P of M , where Ψ : M × M → M is a bi-linear map. If Ψ is a bounded l -semi Hochschild 2-cocycle, then T is a left centralizer associated with Ψ . By applying this conclusion, we offer a characterization of left σ -centralizers, generalized derivations and generalized σ -derivations on von Neumann algebras. Moreover, it is proved that if M is a commutative von Neumann algebra and σ : M → M is an endomorphism, then every bi- σ -derivation D : M × M → M is identically zero.
