A remark on Radon-Nikodým properties of ordered Hilbert spaces

Schmitt, Lothar M.

doi:10.1090/S0002-9939-1989-0957266-4

A remark on Radon-Nikodým properties of ordered Hilbert spaces
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Proc. Amer. Math. Soc. 105 (1989), 938-940 Request permission

Abstract:

We characterize classical ${L^2}$-spaces as well as ${L^2}$-spaces of ${W^ * }$-algebras by appropriate Radon- Nikodym principles.

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On the set of positive functions in

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