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- W2920923678 abstract "An orthogonality space is a set endowed with a symmetric, irreflexive binary relation. By means of the usual orthogonality relation, each anisotropic quadratic space gives rise to such a structure. We investigate in this paper the question to which extent this strong abstraction suffices to characterize complex Hilbert spaces, which play a central role in quantum physics. To this end, we consider postulates concerning the nature and existence of symmetries. Together with a further postulate excluding the existence of nontrivial quotients, we establish a representation theorem for finite-dimensional orthomodular spaces over a dense subfield of [Formula: see text]." @default.
- W2920923678 created "2019-03-22" @default.
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- W2920923678 date "2019-05-01" @default.
- W2920923678 modified "2023-09-25" @default.
- W2920923678 title "Orthogonality spaces of finite rank and the complex Hilbert spaces" @default.
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- W2920923678 doi "https://doi.org/10.1142/s0219887819500804" @default.
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