Abstract
A notion of factorizability for vector-valued measures on a quantum logic L enables us to pass from abstract logics to Hilbert space logics and thereby to construct tensor products. A claim by Kruszynski that, in effect, every orthogonally scattered measure is factorizable is shown to be false. Some criteria for factorizability are found.
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Work done partly when the second author visited the University of Nottingham, supported by SERC grant GR/G3/376.
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Hudson, R.L., Pulmannová, S. Sum logics and tensor products. Found Phys 23, 999–1024 (1993). https://doi.org/10.1007/BF00736013
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DOI: https://doi.org/10.1007/BF00736013