PV措施有多尖锐？
How sharp are PV measures?
摘要：
尖锐的可观测量（归一化PV措施）的性质进行了研究与涂抹的马尔可夫核。证明了对于定义在标准Borel空间上的可观测$P$和任意可观测$M$，下列性质是等价的：（a）$P$的值域包含在$M$的值域中;（b）$P$是$M$的函数;（c）$P$是$M$的涂抹.
英文摘要：
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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