Navara, Mirko; Pták, Pavel; Rogalewicz, Vladimir Enlargements of quantum logics. (English) Zbl 0617.06006 Pac. J. Math. 135, No. 2, 361-369 (1988). Let K be a quantum logic whose state space is nonvoid. Let B be a Boolean algebra and let C be a compact convex subset of a locally convex topological linear space. Then K can be embedded into a logic L such that the centre of L equals B and the state space of L equals C. (The result remains valid when we replace the word ”logic” with ”orthomodular lattice”.) Cited in 2 ReviewsCited in 14 Documents MSC: 06C15 Complemented lattices, orthocomplemented lattices and posets 81P10 Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) 03G12 Quantum logic 46L30 States of selfadjoint operator algebras Keywords:quantum logic; state space; Boolean algebra; locally convex topological linear space; centre; orthomodular lattice PDFBibTeX XMLCite \textit{M. Navara} et al., Pac. J. Math. 135, No. 2, 361--369 (1988; Zbl 0617.06006) Full Text: DOI