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Article

Summary:
It is shown that the definition of generalized localizability, as given by Jauch and Piron, can be justified by direct arguments. A theorem, similar to that of Neumark on representation of POV - measures, is demonstrated for classical systems.
References:
[1] J. M. Jauch, C. Piron: Generalized Localizability. Helvetica Physica Acta 40 (1967), 559. Zbl 0152.23901
[2] M. A. Neumark: C. R. Acad. URSS 41 (1943), 359. MR 0010789 | Zbl 0061.25411
[3] J. C. T. Pool: Baer*-Semigroups and the Logic of Quantum Mechanics. Comm. Math. Physics 9 (1968), 118. DOI 10.1007/BF01645838 | MR 0229431
[4] S. P. Gudder: Uniqueness and existence properties of bounded observables. Pacific J. Math. 19 (1966), 81. DOI 10.2140/pjm.1966.19.81 | MR 0201146 | Zbl 0149.23603
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