A Radon-Nikodým theorem for natural cones associated with von Neumann algebras
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- by Hideki Kosaki PDF
- Proc. Amer. Math. Soc. 84 (1982), 207-211 Request permission
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 $\xi = tJtJ{\xi _0}$.References
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Additional Information
- © Copyright 1982 American Mathematical Society
- 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