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Transactions of the American Mathematical Society

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Spectral methods for a generalized probability theory


Author: Stanley P. Gudder
Journal: Trans. Amer. Math. Soc. 119 (1965), 428-442
MSC: Primary 06.40
DOI: https://doi.org/10.1090/S0002-9947-1965-0183657-6
MathSciNet review: 0183657
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  • [2] -, Probabilité sur une treillis non modulair, Publ. Inst. Statist. Univ. Paris 6 (1957), 11-25.
  • [3] Nelson Dunford and Jacob T. Schwartz, Linear operators. Part II: Spectral theory. Self adjoint operators in Hilbert space, With the assistance of William G. Bade and Robert G. Bartle, Interscience Publishers John Wiley & Sons New York-London, 1963. MR 0188745
  • [4] S. P. Gudder, A generalized probability model for quantum mechanics, Ph.D. Thesis, University of Illinois, Urbana, Ill., 1964.
  • [5] G. W. Mackey, The mathematical foundatious of quantum mechanics, Benjamin, New York, 1963.
  • [6] J. C. T. Pool, Simultaneous observability and the logic of quantum mechanics, Ph.D. Thesis, State University of Iowa, Iowa City, Iowa, 1963.
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  • [8] V. S. Varadarajan, Probability in physics and a theorem on simultaneous observability, Comm. Pure Appl. Math. 15 (1962), 189–217. MR 0163616, https://doi.org/10.1002/cpa.3160150207

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DOI: https://doi.org/10.1090/S0002-9947-1965-0183657-6
Article copyright: © Copyright 1965 American Mathematical Society