Ordering of observables and characterization of conditional expectation

Oľga Nánásiová · Czech digital mathematics library · 1987

In the first half of this paper we study various ways of the ordering of observables.We analyse the relationship between two different definitions of the ordering of observables.In the second half we analyse properties of "relative conditional expectations" for partially compatible observables on quantum logics.These "relative conditional expectations" have been introduced in [14].The main result is a characterization of "relative conditional expectations" in the sense of Shu-Ten Chen Moy [19] in a quantum logic.

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