@article{AIHPA_1985__43_2_211_0,
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},
year = {1985},
publisher = {Gauthier-Villars},
volume = {43},
number = {2},
mrnumber = {817536},
zbl = {0587.17012},
language = {en},
url = {https://www.numdam.org/item/AIHPA_1985__43_2_211_0/}
}
TY - JOUR AU - Iochum, Bruno AU - Loupias, Guy TI - Banach-power-associative algebras and J-B algebras JO - Annales de l'I.H.P. Physique théorique PY - 1985 SP - 211 EP - 225 VL - 43 IS - 2 PB - Gauthier-Villars UR - https://www.numdam.org/item/AIHPA_1985__43_2_211_0/ LA - en ID - AIHPA_1985__43_2_211_0 ER -
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. https://www.numdam.org/item/AIHPA_1985__43_2_211_0/
[1] , On the power-associativity of rings, Summa Brasil, Math., t. 2, 1948, p. 21-32. | Zbl | MR
[2] , A theory of power-associative commutative algebras, Trans. Amer. Math. Soc., t. 69, 1950, p. 503-527. | Zbl | MR
[3] , Compact convex sets and boundary integrals, Ergebnisse der Math., t. 57, Springer-Verlag: Berlin, 1971. | Zbl | MR
[4] and , Non commutative spectral theory for affine function spaces on convex sets, Mem. Amer. Math. Soc., t. 172, 1976. | Zbl | MR
[5] and , On non commutative spectral theory and Jordan algebras, Proc. London Math. Soc., t. 38, 1979, p. 497-516. | Zbl | MR
[6] , and , A Guelfand-Neumark theorem for Jordan algebras, Adv. Math., t. 28, 1978, p. 11-56. | Zbl | MR
[7] , Algebraic methods in statistical mechanics and quantum field theory, Wiley-Interscience: New York, 1972. | Zbl
[8] , Conditional probability in quantum axiomatic, Ann. Inst. H. Poincaré, 1980, p. 63-119. | Zbl | MR | Numdam
[9] and , An algebraic approach to quantum field theory, J. Math. Phys., t. 5, 1964, p. 848-861. | Zbl | MR
[10] , A note on the bidual of a Jordan-Banach-algebra, Math. Z., t. 175, 1980, p. 29-31. | Zbl | MR
[11] and , Jordan operator algebras, Pitman, Boston, 1984. | Zbl | MR
[12] , Cônes autopolaires et algèbres de Jordan, Lectures Notes in Math., 1049 Springer-Verlag, Berlin, 1984. | Zbl | MR
[13] and , Normal state spaces of Jordan and von Neumann algebra, J. Functional Anal., t. 50, 1983, p. 317-328. | Zbl | MR
[14] , and , On an algebraic generalization of the quantum mechanical formalism, Ann. of Math., t. 35, 1934, p. 29-64. | Zbl | MR | JFM
[15] , A representation theory for commutative topological algebra, Mem. Amer. Math. Soc., t. 7, 1951. | Zbl | MR
[16] , A generalized Schwarz inequality and algebraic invariants for operator algebras, Ann. Math., t. 56, 1952, p. 494-503. | Zbl | MR
[17] , Simple power associative algebras of degree two, Ann. of Math., t. 64, 1956, p. 544-550. | Zbl | MR
[18] , On postulates for general quantum mechanics, Proc. Amer. Math. Soc., t. 8, 1957, p. 88-91. | Zbl | MR
[19] , On an algebraic generalization of the quantum mechanical formalism (Part I), Math. Sbornic, t. 1, 1936, p. 415-484. | Zbl
[20] , C* and W* algebras, Ergebnisse der Math., t. 60, Springer-Verlag, Berlin, 1971. | Zbl | MR
[21] , Banach lattices and positive operators, Springer-Verlag, Berlin, 1974. | Zbl
[22] , An introduction to non associative algebras, Academic Press, New York, 1966. | Zbl | MR
[23] , On Segal's postulates for general quantum mechanics, Ann. of Math., t. 64, 1956, p. 593-601. | Zbl | MR
[24] , On normed Jordan algebras which are Banach dual spaces. J. Functional Anal., t. 31, 1979, p. 360-376. | Zbl | MR
[25] , Postulates for a general quantum mechanics, Ann. of Math., t. 48, 1947, p. 930-948. | Zbl | MR
[26] , On non-unital Jordan-Banach algebras, Math. Proc. Camb. Phil. Soc.. t. 82, 1977, p. 375-380. | Zbl | MR





