no. 2
Banach-power-associative algebras and J-B algebras
Annales de l'I.H.P. Physique théorique, Tome 43 (1985) no. 2, pp. 211-225. 
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     author = {Iochum, Bruno and Loupias, Guy},
     title = {Banach-power-associative algebras and {J-B} algebras},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     pages = {211--225},
     publisher = {Gauthier-Villars},
     volume = {43},
     number = {2},
     year = {1985},
     mrnumber = {817536},
     zbl = {0587.17012},
     language = {en},
     url = {http://www.numdam.org/item/AIHPA_1985__43_2_211_0/}
}
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Iochum, Bruno; Loupias, Guy. Banach-power-associative algebras and J-B algebras. Annales de l'I.H.P. Physique théorique, Tome 43 (1985) no. 2, pp. 211-225. http://www.numdam.org/item/AIHPA_1985__43_2_211_0/

[1] A.A. Albert, On the power-associativity of rings, Summa Brasil, Math., t. 2, 1948, p. 21-32. | MR | Zbl

[2] A.A. Albert, A theory of power-associative commutative algebras, Trans. Amer. Math. Soc., t. 69, 1950, p. 503-527. | MR | Zbl

[3] E.M. Alfsen, Compact convex sets and boundary integrals, Ergebnisse der Math., t. 57, Springer-Verlag: Berlin, 1971. | MR | Zbl

[4] E.M. Alfsen and F.W. Shultz, Non commutative spectral theory for affine function spaces on convex sets, Mem. Amer. Math. Soc., t. 172, 1976. | MR | Zbl

[5] E.M. Alfsen and F.W. Shultz, On non commutative spectral theory and Jordan algebras, Proc. London Math. Soc., t. 38, 1979, p. 497-516. | MR | Zbl

[6] E.M. Alfsen, F.W. Shultz and E. Størmer, A Guelfand-Neumark theorem for Jordan algebras, Adv. Math., t. 28, 1978, p. 11-56. | MR | Zbl

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

[8] W. Guz, Conditional probability in quantum axiomatic, Ann. Inst. H. Poincaré, 1980, p. 63-119. | Numdam | MR | Zbl

[9] R. Haag and D. Kastler, An algebraic approach to quantum field theory, J. Math. Phys., t. 5, 1964, p. 848-861. | MR | Zbl

[10] H. Hanche-Olsen, A note on the bidual of a Jordan-Banach-algebra, Math. Z., t. 175, 1980, p. 29-31. | MR | Zbl

[11] H. Hanche-Olsen and E. Størmer, Jordan operator algebras, Pitman, Boston, 1984. | MR | Zbl

[12] B. Iochum, Cônes autopolaires et algèbres de Jordan, Lectures Notes in Math., 1049 Springer-Verlag, Berlin, 1984. | MR | Zbl

[13] B. Iochum and F.W. Shultz, Normal state spaces of Jordan and von Neumann algebra, J. Functional Anal., t. 50, 1983, p. 317-328. | MR | Zbl

[14] P. Jordan, J. Von Neumann and E. Wigner, On an algebraic generalization of the quantum mechanical formalism, Ann. of Math., t. 35, 1934, p. 29-64. | JFM | MR | Zbl

[15] R.V. Kadison, A representation theory for commutative topological algebra, Mem. Amer. Math. Soc., t. 7, 1951. | MR | Zbl

[16] R.V. Kadison, A generalized Schwarz inequality and algebraic invariants for operator algebras, Ann. Math., t. 56, 1952, p. 494-503. | MR | Zbl

[17] L.A. Kokoris, Simple power associative algebras of degree two, Ann. of Math., t. 64, 1956, p. 544-550. | MR | Zbl

[18] D.B. Lowdenslager, On postulates for general quantum mechanics, Proc. Amer. Math. Soc., t. 8, 1957, p. 88-91. | MR | Zbl

[19] J. Von Neumann, On an algebraic generalization of the quantum mechanical formalism (Part I), Math. Sbornic, t. 1, 1936, p. 415-484. | Zbl

[20] S. Sakai, C* and W* algebras, Ergebnisse der Math., t. 60, Springer-Verlag, Berlin, 1971. | MR | Zbl

[21] H.H. Schaeffer, Banach lattices and positive operators, Springer-Verlag, Berlin, 1974. | Zbl

[22] R.D. Schafer, An introduction to non associative algebras, Academic Press, New York, 1966. | MR | Zbl

[23] S. Sherman, On Segal's postulates for general quantum mechanics, Ann. of Math., t. 64, 1956, p. 593-601. | MR | Zbl

[24] F.W. Shultz, On normed Jordan algebras which are Banach dual spaces. J. Functional Anal., t. 31, 1979, p. 360-376. | MR | Zbl

[25] I.E. Segal, Postulates for a general quantum mechanics, Ann. of Math., t. 48, 1947, p. 930-948. | MR | Zbl

[26] R.R. Smith, On non-unital Jordan-Banach algebras, Math. Proc. Camb. Phil. Soc.. t. 82, 1977, p. 375-380. | MR | Zbl