A Kadison-Sakai Type Theorem

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The celebrated Kadison--Sakai theorem states that every derivation on a von Neumann algebra is inner. In this paper, we prove this theorem for ultraweakly continuous *-σ-derivations, where σis an ultraweakly continuous surjective *-linear mapping. We decompose a $σ$-derivation into a sum of an inner σ-derivation and a multiple of a homomorphism. The so-called *-(σ,τ)-derivations are also discussed.
10 pages, completely revised

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Functional Analysis, Operator Algebras, 46L57 (Primary) 46L05, 47B47 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/145356

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0510267
 http://arxiv.org/abs/math/0510267

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arXiv