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Jewell theorem for higher derivations on C*-algebras.

dc.creatorHejazian, Shirin
dc.creatorMirzavaziri, Madjid
dc.creatorTehrani, Elahe Omidvar
dc.date2011-01-07
dc.identifierhttps://www.revistaproyecciones.cl/index.php/proyecciones/article/view/101-108
dc.identifier10.4067/S0716-09172010000200003
dc.descriptionLet A be an algebra. A sequence {dn} of linear mappings on A is called a higher derivation if  for each a, b ∈ A and each nonnegative integer n. Jewell [Pacific J. Math. 68 (1977), 91-98], showed that a higher derivation from a Banach algebra onto a semisimple Banach algebra is continuous provided that ker(d0) ⊆ ker(dm), for all m = 1. In this paper, under a different approach using C*-algebraic tools, we prove that each higher derivation {dn} on a C*-algebra A is automatically continuous, provided that it is normal, i. e. d0 is the identity mapping on A.es-ES
dc.formatapplication/pdf
dc.languagespa
dc.publisherUniversidad Católica del Norte.en-US
dc.relationhttps://www.revistaproyecciones.cl/index.php/proyecciones/article/view/101-108/pdf
dc.rightsCopyright (c) 2010 Proyecciones. Journal of Mathematicsen-US
dc.sourceProyecciones (Antofagasta, On line); Vol. 29 No. 2 (2010); 101-108en-US
dc.sourceProyecciones. Revista de Matemática; Vol. 29 Núm. 2 (2010); 101-108es-ES
dc.source0717-6279
dc.subjectDerivationes-ES
dc.subjecthigher derivationes-ES
dc.subjectautomatic continuityes-ES
dc.subjectSakai theoremes-ES
dc.subjectderivaciónes-ES
dc.subjectderivación de grados superioreses-ES
dc.subjectcontinuidad automáticaes-ES
dc.subjectteorema de Sakai.es-ES
dc.titleJewell theorem for higher derivations on C*-algebras.es-ES
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion
dc.typePeer-reviewed Articleen-US


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