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Probabilistic foundations of quantum theories and Rubin-Stone spaces


Authors: S. J. Guccione and Č. V. Stanojević
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
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References [Enhancements On Off] (What's this?)

  • 1. H. Rubin and M. H. Stone, Postulates for generalizations of Hilbert space, Proc. Amer. Math. Soc. 4 (1953), 611-616. MR 15, 39. MR 56199
  • 2. B. Mielnik, Geometry of quantum states, Comm. Math. Phys. 9 (1968), 55-80. MR 37 #7156. MR 231603
  • 3. Č. V. Stanojević, Mielnik's probability spaces and characterization of inner product spaces, Trans. Amer. Math. Soc. 183 (1973), 441-448. MR 48 #6904. MR 328562
  • 4. Mitio Nagumo, Charakterisierung der allgemeinen euklidischen Räume durch eine Postulate für Schwerpunkte, Japan. J. Math. 12 (1936), 123-128.

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DOI: https://doi.org/10.1090/S0002-9904-1976-14061-X

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