Description of derivations on locally measurable operator algebras of type I

• Autores: Sergio A. Albeverio, Shavkat A. Ayupov, Karimbergen K. Kudaybergenov
• Localización: Extracta mathematicae, ISSN-e 0213-8743, Vol. 24, Nº 1, 2009, págs. 1-15
• Idioma: inglés
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• Resumen

  • Given a type I von Neumann algebra M let LS(M) be the algebra of all locally measurable operators a±liated with M: We give a complete description of all derivations on the algebra LS(M): In particular, we prove that if M is of type I1 then every derivation on LS(M) is inner.