no. 1
Conditional probability in quantum axiomatics
Annales de l'institut Henri Poincaré. Section A, Physique Théorique, Tome 33 (1980) no. 1, pp. 63-119 
@article{AIHPA_1980__33_1_63_0,
     author = {Guz, Wawrzyniec},
     title = {Conditional probability in quantum axiomatics},
     journal = {Annales de l'institut Henri Poincar\'e. Section A, Physique Th\'eorique},
     pages = {63--119},
     year = {1980},
     publisher = {Gauthier-Villars},
     volume = {33},
     number = {1},
     mrnumber = {593025},
     zbl = {0454.03032},
     language = {en},
     url = {https://www.numdam.org/item/AIHPA_1980__33_1_63_0/}
}
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Guz, Wawrzyniec. Conditional probability in quantum axiomatics. Annales de l'institut Henri Poincaré. Section A, Physique Théorique, Tome 33 (1980) no. 1, pp. 63-119. https://www.numdam.org/item/AIHPA_1980__33_1_63_0/

[1] E.M. Alfsen, Compact convex sets and boundary integrals, Springer, Berlin, 1971. | Zbl | MR

[2] E.M. Alfsen and F.W. Shultz, Bull. Amer. Math. Soc., t. 81, 1975, p. 893. | Zbl | MR

[3] E.M. Alfsen and F.W. Shultz, Mem. Amer. Math. Soc., vol. 6, No. 172, 1976. | Zbl | MR

[4] E.M. Alfsen, F.W. Shultz and E. Størmer, Advances in Math., t. 28, 1978, p. 11. | Zbl | MR

[5] E.M. Alfsen and F.W. Shultz, Acta Math., t. 140, 1978, p. 155. | Zbl | MR

[6] E.M. Alfsen and F.W. Shultz, Proc. London. Math. Soc., t. 38, 1979, p. 497. | Zbl | MR

[7] G. Birkhoff and J. Von Neumann, Ann. Math., t. 37, 1936, p. 823. | Zbl | JFM

[8] K. Bugajska and S. Bugajski, Reports on Math. Phys., t. 4, 1973, p. 1. | Zbl | MR

[9] K. Bugajska and S. Bugajski, Bull. Acad. Polon. Sci., Ser. math., t. 21, 1973, p. 873. | MR

[10] K. Bugajska and S. Bugajski, Ann. Inst. H. Poincaré, t. 19, 1973, p. 333. | MR | Numdam

[11] R. Cirelli and P. Cotta-Ramusino. Int. J. Theor. Phys., t. 8, 1973, p. 11. | MR

[12] R. Cirelli and P. Cotta-Ramusino, Ibid., t. 11, 1974, p. 1.

[13] E.B. Davies and J.T. Lewis, Commun. muth. Phys., t. 17, 1970, p. 239. | Zbl | MR

[14] E.B. Dynkin, Markovian processes, Moscow, 1963 (in Russian).

[15] C.M. Edwards, Commun. math. Phys., t. 16, 1970, p. 207. | Zbl | MR

[16] C.M. Edwards and M.A. Gerzon, Ann. Inst. H. Poincaré, t. 12, 1970, p. 323. | Zbl | MR | Numdam

[17] A.J. Ellis, J. London Math. Soc., t. 14, 1964, p. 399.

[18] G.G. Emch, Algebraic methods in statistical mechanics and quantum field theory, Wiley-Interscience, New York, 1972. | Zbl

[19] S.P. Gudder, J. Math. Phys., t. 11, 1970, p. 1037. | Zbl

[20] S.P. Gudder, Pac. J. Math., t. 19, 1966, p. 81. | Zbl | MR

[21] J. Gunson, Commun. math. Phys., t. 6, 1967, p. 262. | Zbl | MR

[22] W. Guz, Reports on Math. Phys., t. 6, 1974, p. 445.

[23] W. Guz, Ibid., t. 7, 1975, p. 313. | Zbl

[24] W. Guz, Ibid., t. 8, 1975, p. 49. | MR

[25] W. Guz, Ibid., t. 12, 1977, p. 151. | Zbl | MR

[26] W. Guz, Ibid., t. 12, 1977, p. 285. | Zbl | MR

[27] W. Guz, Ann. Inst. H. Poincaré, t. 28, 1978, p. 1. | MR | Numdam

[28[ W. Guz, Ibid., t. 29, 1978, p. 357. | Zbl | MR | Numdam

[29] W. Guz, Ibid., t. 30, 1979, p. 223. | Zbl | MR | Numdam

[30] W. Guz, Reports on Math. Phys., t. 16, 1979, p. 125. | Zbl | MR

[31] W. Guz, Reports on Math. Phys., in print.

[32] W. Guz, Ann. Inst. H. Poincaré, submitted for publication.

[33] G. Jameson, Ordered linear spaces, Springer, Berlin, 1970. | Zbl | MR

[34] J.M. Jauch, Foundations of quantum mechanics, Addison-Wesley, Reading, Mass., 1968. | Zbl | MR

[35] J.M. Jauch and C. Piron, Helv. Phys. Acta, t. 42, 1969, p. 842. | Zbl | MR

[36] P. Jordan, J. Von Neumann and E. Wigner, Ann. Math., t. 35, 1934, p. 29. | Zbl | JFM

[37] A. Kossakowski, Bull. Acad. Polon. Sci., Ser. math., t. 20, 1972, p. 1021. | MR

[38] G. Ludwig, Grundlegung Physikalischer Theorien, Teil I und II, Univ. Marburg, 1968, 1970.

[39] G.W. Mackey, Amer. Math. Monthly, t. 64, 1957, p. 45. | Zbl | MR

[40] G.W. Mackey, The mathematical foundations of quantum mechanics, Benjamin, New York, 1963. | Zbl

[41] M.D. Maclaren, Argonne Nat. Lab. Report ANL-7065, 1965.

[42] M.J. Maczynski, Bull. Acad. Polon. Sci., Ser. math., t. 15, 1967, p. 583. | Zbl | MR

[43] M.J. Maczynski, Reports on Math. Phys., t. 3, 1972, p. 209.

[44] B. Mielnik, Commun. math. Phys., t. 15, 1969, p. 1. | Zbl | MR

[45] B. Mielnik, Commun. math. Phys., t. 37, 1974, p. 221. | MR

[46] P.E. Miles, Trans. Amer. Math. Soc., t. 107, 1963, p. 217. | Zbl | MR

[47] M.A. Naimark, Normed rings, Moscow, 1956 (in Russian). | MR

[48] J. Von Neumann, Mat. Sb., t. 1, 1936, p. 415.

[49] W. Ochs, Commun. math, Phys., t. 25, 1972, p. 245. | Zbl | MR

[50] C. Piron, Helv. Phys. Acta, t. 37, 1964, p. 439. | Zbl | MR

[51] C. Piron, Foundations of quantum physics, Benjamin, London, 1976. | Zbl | MR

[52] J.C.T. Pool, Commun. math. Phys., t. 9, 1968, p. 118. | Zbl | MR

[53] J.C.T. Pool, Ibid., t. 9, 1968, p. 212. | Zbl | MR

[54] J.C.T. Pool, Argonne Nat. Lab. Report TM-208, 1970.

[55] S. Pulmannova, Commun. math. Phys., t. 49, 1976, p. 47. | MR

[56] H.H. Schaefer, Topological vector spaces, Macmillan, New York, 1966. | Zbl | MR

[57] I.E. Segal, Ann. Math., t. 48, 1947, p. 930. | Zbl | MR

[58] I.E. Segal, Mathematical problems of relativistic physics, Providence, 1963. | Zbl | MR

[59] M.D. Srinivas, J. Math. Phys., t. 16, 1975, p. 1672.

[60] E. Størmer, Proc. London Math. Soc., t. 18, 1968, p. 245.

[61] V.S. Varadarajan, Commun. Pure Appl. Math., t. 15, 1962, p. 189. | Zbl | MR

[62] V.S. Varadarajan, Geometry of quantum theory, vol. 1, Van Nostrand, Princeton, 1968. | Zbl | MR

[63] K. Yosida, Functional analysis, Springer, Berlin, 1965. | Zbl

[64] N. Zierler, Pac. J. Math., t. 11, 1961, p. 1151. | Zbl | MR

[65] N. Zierler, Ibid., t. 19, 1966, p. 583. | Zbl | MR

[66] S.P. Gudder, Int. J. Theor. Phys., t. 7, 1973, p. 205.