# 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}
}
• Published 2020
• Physics, Mathematics
• arXiv: Quantum Physics
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
3 Citations
A characterisation of ordered abstract probabilities
• Mathematics, Computer Science
• LICS
• 2020
• 3
• PDF

#### References

SHOWING 1-10 OF 69 REFERENCES
Sequential products on effect algebras
• Mathematics
• 2002
• 114
• Highly Influential
• PDF
Blocks of homogeneous effect algebras
• Gejza Jenvca
• Mathematics
• Bulletin of the Australian Mathematical Society
• 2001
• 14
• PDF
Remarks on the sequential effect algebras
• Mathematics, Physics
• 2009
• 16
• PDF
An Introduction to Effectus Theory
• Mathematics, Computer Science
• ArXiv
• 2015
• 59
• PDF