Probabilistic foundations of quantum theories and Rubin-Stone spaces
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- by S. J. Guccione and Č. V. Stanojević PDF
- Bull. Amer. Math. Soc. 82 (1976), 481-483
References
- H. Rubin and M. H. Stone, Postulates for generalizations of Hilbert space, Proc. Amer. Math. Soc. 4 (1953), 611–616. MR 56199, DOI 10.1090/S0002-9939-1953-0056199-3
- Bogdan Mielnik, Geometry of quantum states, Comm. Math. Phys. 9 (1968), 55–80. MR 231603, DOI 10.1007/BF01654032
- C. V. Stanojevic, Mielnik’s probability spaces and characterization of inner product spaces, Trans. Amer. Math. Soc. 183 (1973), 441–448. MR 328562, DOI 10.1090/S0002-9947-1973-0328562-1 4. Mitio Nagumo, Charakterisierung der allgemeinen euklidischen Räume durch eine Postulate für Schwerpunkte, Japan. J. Math. 12 (1936), 123-128.
Additional Information
- Journal: Bull. Amer. Math. Soc. 82 (1976), 481-483
- MSC (1970): Primary 46C10; Secondary 81A12
- DOI: https://doi.org/10.1090/S0002-9904-1976-14061-X
- MathSciNet review: 0410346