Spectral representation of infimum of bounded quantum observables

Physics – Mathematical Physics

Scientific paper

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Scientific paper

In 2006, Gudder introduced a logic order on bounded quantum observable set
$S(H)$. In 2007, Pulmannova and Vincekova proved that for each subset $\cal D$
of $S(H)$, the infimum of $\cal D$ exists with respect to this logic order. In
this paper, we present the spectral representation for the infimum of $\cal D$.

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