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Full families of states and functional representations of observables. (English) Zbl 0820.46054

Summary: A theorem of Kadison on full families of states of \(C^*\)-algebras is generalized for order-unit normed spaces and several corollaries are demonstrated. The resulting functional representations of observables and hidden-variables models are noted.

MSC:

46L05 General theory of \(C^*\)-algebras
46L60 Applications of selfadjoint operator algebras to physics
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References:

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