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On the convergence and absolute continuity of signed states on a logic. (English) Zbl 0585.03037
This paper considers whether the well-known Vitali-Hahn-Saks theorem holds for finite signed states on a logic, giving a sufficient condition as well as a counterexample. The case of finite signed states on the logic \({\mathcal L}(H)\) of all closed subspaces of a separable Hilbert space is a bit closely investigated.
Reviewer: H.Nishimura

MSC:
03G12 Quantum logic
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References:
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