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Errata to the article “Topologies on quantum logics induced by measures”. (English) Zbl 0753.03028

In the proof of Theorem 4.2 in the quoted paper [the author, ibid. 39, No. 2, 175-189 (1989; Zbl 0674.03021)], there was used a false assertion that, if \(M\), \(S\) are closed subspaces of a Hilbert space, then \(P^ M(S)\) is also closed (\(P^ M\) denotes the orthogonal projector corresponding to \(M\)). This mistake does not influence the validity of this theorem. It demands only some small changes in the proof.

MSC:

03G12 Quantum logic
81P10 Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects)
46N50 Applications of functional analysis in quantum physics

Citations:

Zbl 0674.03021
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References:

[1] PALKO V.: Topologies on quantum logics induced by measures. Math. Slovaca 39 (1989), 175-189. · Zbl 0674.03021
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