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- W2074438462 abstract "Given a commutative POV measure [Formula: see text] on the Borel σ-algebra of the reals it is possible to construct a PV measure [Formula: see text] (the sharp reconstruction of F) such that the outcomes of the measurement of F can be interpreted as the random diffusion of the outcomes of the measurement of E. On the other hand Neumark's theorem ensures the existence of an extended Hilbert space [Formula: see text] and of a PV measure [Formula: see text] such that [Formula: see text] for every [Formula: see text]. We consider the projection [Formula: see text] of the self-adjoint operator [Formula: see text] corresponding to E + and the self-adjoint operator A corresponding to the sharp reconstruction E and show the existence of a function G: [0,1] → [0,1] such that [Formula: see text]. An example for which the last relation can be inverted is shown." @default.
- W2074438462 created "2016-06-24" @default.
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- W2074438462 date "2006-12-01" @default.
- W2074438462 modified "2023-10-17" @default.
- W2074438462 title "NEUMARK'S OPERATORS AND SHARP RECONSTRUCTIONS" @default.
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- W2074438462 doi "https://doi.org/10.1142/s0219887806001831" @default.
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