Some maximality results for effect-valued measures

S.V. Dorofeev, J. Graaf, de

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12 Citations (Scopus)
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We give an approach to the theory of effect-valued measures taking their values in the positive operators on a Hubert space. The concept of operator-valued measure is fundamental in modern theories of quantum measurements. In the paper we introduce and study relations of dominance and equivalence between two effect-valued measures and concepts of maximal and minimal effect-valued measures. Characterizations of maximal effect-valued measures are obtained in the discrete case and in the case of commutative range. As an example we study the so-called Bargmann measure which can be interpreted as a simultaneous non-ideal measurement of position and momentum.
Original languageEnglish
Pages (from-to)349-369
JournalIndagationes Mathematicae. New Series
Issue number3
Publication statusPublished - 1997


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