Partial Hilbert spaces and amplitude functions
Logical cover spaces
Analysis of a quantum Markov chain
Tensor products of sequential effect algebras
An order for quantum observables
Representation theorem for convex effect algebras
Effect algebras have important applications in the foundations of quantum mechanics and in fuzzy probability theory. An effect algebra that possesses a convex structure is called a convex effect algebra. Our main result shows that any convex effect algebra admits a representation as a generating initial interval of an ordered linear space. This result is analogous to a classical representation theorem for convex structures due to M.H. Stone.
Effect algebra counterexamples
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