A remark on Sakai’s quadratic Radon-Nikodým theorem

Kosaki, Hideki

doi:10.1090/S0002-9939-1992-1099341-2

A remark on Sakai’s quadratic Radon-Nikodým theorem
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Proc. Amer. Math. Soc. 116 (1992), 783-786 Request permission

Abstract:

Sakai’s Radon-Nikodym theorem (in a quadratic form) for normal states on a von Neumann algebra is considered. We show that the conclusion of this theorem follows from a much weaker order assumption on involved states.

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