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A Radon-Nikodým theorem for natural cones associated with von Neumann algebras


Author: Hideki Kosaki
Journal: Proc. Amer. Math. Soc. 84 (1982), 207-211
MSC: Primary 46L50
DOI: https://doi.org/10.1090/S0002-9939-1982-0637170-5
MathSciNet review: 637170
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Abstract: The natural cone associated with a von Neumann algebra admitting a cyclic and separating vector $ {\xi _0}$ is considered. For any vector $ \xi $ in the cone, there always exists a closed operator $ t$ affiliated with the algebra satisfying $ \xi = tJtJ{\xi _0}$.


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DOI: https://doi.org/10.1090/S0002-9939-1982-0637170-5
Article copyright: © Copyright 1982 American Mathematical Society

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