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- W2092192559 abstract "The operational approach to quantum physics employs an order-unit space in duality with a base-normed space, and in this context, a suitable spectral theory is a prerequisite for the representation of quantum-mechanical observables. An order-unit space is called spectral if it is enriched by a compression base with the comparability and projection cover properties. These notions are explicated in the article. We show that each element in a spectral order-unit space determines and is determined by a spectral resolution and it has a spectrum which is a nonempty closed bounded subset of the real numbers. Our theory is a generalization and a more algebraic version of the well-known non-commutative spectral theory of Alfsen and Shultz." @default.
- W2092192559 created "2016-06-24" @default.
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- W2092192559 date "2008-12-01" @default.
- W2092192559 modified "2023-09-25" @default.
- W2092192559 title "Spectral resolution in an order-unit space" @default.
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- W2092192559 doi "https://doi.org/10.1016/s0034-4877(09)00004-4" @default.
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