The three types of normal sequential effect algebras

@article{Westerbaan2020TheTT,
  title={The three types of normal sequential effect algebras},
  author={A. Westerbaan and B. Westerbaan and J. V. D. Wetering},
  journal={arXiv: Quantum Physics},
  year={2020}
}
A sequential effect algebra (SEA) is an effect algebra equipped with a sequential product operation modeled after the Luders product $(a,b)\mapsto \sqrt{a}b\sqrt{a}$ on C*-algebras. A SEA is called normal when it has all suprema of directed sets, and the sequential product interacts suitably with these suprema. The effects on a Hilbert space and the unit interval of a von Neumann or JBW algebra are examples of normal SEAs that are in addition convex, i.e. possess a suitable action of the real… Expand
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