How sharp are PV measures?

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How Sharp Are Pv Measures?

Properties of sharp observables (normalized PV measures) in relation to smearing by a Markov kernel are studied. It is shown that for a sharp observable P defined on a standard Borel space, and an arbitrary observable M , the following properties are equivalent: (a) the range of P is contained in the range of M ; (b) P is a function of M ; (c) P is a smearing of M .

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ژورنال

عنوان ژورنال: Reports on Mathematical Physics

سال: 2007

ISSN: 0034-4877

DOI: 10.1016/s0034-4877(07)80038-3