Three characterisations of the sequential product

DOI10.1063/1.5031089zbMath1397.81021arXiv1803.08453OpenAlexW3099912240MaRDI QIDQ4586496

John van de Wetering

Publication date: 13 September 2018

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.08453

zbMATH Keywords

von Neumann algebraeffect algebraJordan algebraspectral theoremsequential productorder unit space

Mathematics Subject Classification ID

Complemented lattices, orthocomplemented lattices and posets (06C15) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10)

Related Items (7)

Three characterisations of the sequential product ⋮ Commutativity in Jordan operator algebras ⋮ Spectrality in convex sequential effect algebras ⋮ Pure Maps between Euclidean Jordan Algebras ⋮ Contexts in Convex and Sequential Effect Algebras ⋮ Sequential product spaces are Jordan algebras ⋮ A computer scientist’s reconstruction of quantum theory*

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• A uniqueness problem of the sequence product on operator effect algebra {\cal E}(H)
• Three characterisations of the sequential product
• Characterization of the sequential product on quantum effects
• A GENERAL THEORY OF JORDAN RINGS
• A representation theory for commutative topological algebra

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