@article{ASCFM_1991__97_27_59_0, author = {Loupias, Guy}, title = {Axiomatique quantique et alg\`ebres norm\'ees non associatives}, journal = {Annales scientifiques de l'Universit\'e de Clermont. Math\'ematiques}, pages = {59--91}, publisher = {UER de Sciences exactes et naturelles de l'Universit\'e de Clermont}, volume = {97}, number = {27}, year = {1991}, mrnumber = {1164711}, zbl = {0854.46059}, language = {fr}, url = {http://www.numdam.org/item/ASCFM_1991__97_27_59_0/} }
TY - JOUR AU - Loupias, Guy TI - Axiomatique quantique et algèbres normées non associatives JO - Annales scientifiques de l'Université de Clermont. Mathématiques PY - 1991 SP - 59 EP - 91 VL - 97 IS - 27 PB - UER de Sciences exactes et naturelles de l'Université de Clermont UR - http://www.numdam.org/item/ASCFM_1991__97_27_59_0/ LA - fr ID - ASCFM_1991__97_27_59_0 ER -
%0 Journal Article %A Loupias, Guy %T Axiomatique quantique et algèbres normées non associatives %J Annales scientifiques de l'Université de Clermont. Mathématiques %D 1991 %P 59-91 %V 97 %N 27 %I UER de Sciences exactes et naturelles de l'Université de Clermont %U http://www.numdam.org/item/ASCFM_1991__97_27_59_0/ %G fr %F ASCFM_1991__97_27_59_0
Loupias, Guy. Axiomatique quantique et algèbres normées non associatives. Annales scientifiques de l'Université de Clermont. Mathématiques, Volume 97 (1991) no. 27, pp. 59-91. http://www.numdam.org/item/ASCFM_1991__97_27_59_0/
1 On an algebraic generalization of the quantum machanical formalism. Ann. of Math. t.35, 1934, p. 29-64. | MR | Zbl
, and ,2 Postulates for a general quantum machanic. Ann. of Math. T. 48, 1947, p. 930-948. | MR | Zbl
,3 An algebraic approach to quantum field theory. J. Math. Phys. t.5, 1964, p. 848-861. | MR | Zbl
and ,4 Jordan operator algebras. Pitman, Boston, 1984. | MR | Zbl
and ,5 Compact convex sets and boundary integrals. Ergebnisse der Math. t. 57, Springer-Verlag, Berlin, 1971. | MR | Zbl
,6 Intrinsic parity of elementary particles, Phys. Rev. t. 88, 1952, p. 101-105. | MR | Zbl
, and ,7 Mécanique quantique. Hermann, Paris, 1973.
, et ,8 On the equilibrium states in quantum statistical mechanics. Commun. Math. Phys. t. 5, 1967, p. 215-236. | MR | Zbl
, and ,9 Die eindentigkeit der Schrôdingerschen operatoren. Math. Ann. t. 104, 1931, p. 570-578. | MR | Zbl
,10 On quantum field theories. Mat.-Fys. Medd. Danske Vid. Selsk, t. 29, 1955, p. 1-37. | MR | Zbl
,11 The dual space of C*-algebras. Trans. Amer. Math. Soc., t. 94, 1960, p. 365-403. | MR | Zbl
,12 The logic of quantum mechanics. Ann. of Math., t. 37, 1936, p. 823-843. | MR | Zbl
and ,13 Algebraic methods in statistical mechanics and quantum field theory. Wileyl-Interscience, New-York, 1972. | Zbl
,14 Banach power associative algebras and JB-algebras. Ann. Inst. H. Poincaré, t. 43, 1985, p. 211-225. | Numdam | MR | Zbl
and ,15 A Gelfand-Neumark theorem for Jordan algebras. Adv. Math., t. 28, 1978, p. 11-56. | MR | Zbl
, and ,16 Jordan algebras versus C*-algebras. Acta Phys. Aust. t. XVI, 1976, p. 1-14. | MR
,17 Mathematical problems in relativistic physics. Amer. Math. Society, Providence, 1963. | MR | Zbl
,18 Mathematical foundations of quantum mechanics. Benjamin, New-York, 1963. | Zbl
,19 Measures on the closed subspaces of a Hilbert space. J. Rat. Mech. Analysis, t. 6, 1957, p. 885-894. | MR | Zbl
,20 Conditional probability in quantum axiomatic. Ann. Inst. H. Poincaré, t. 33, 1980, p. 63-119. | Numdam | MR | Zbl
,21 Non commutative spectral theory for affine functions spaces on convex sets. Mem. Amer. Math. Soc. t. 172, 1976. | MR | Zbl
and ,22 On non commutative spectral theory and Jordan algebras. Proc. London Math. Soc., t. 38, 1979, p. 497-526. | Zbl
and ,23 Hermitian operators on Banach Jordan algebras. Proc. Edinburgh Math. Soc., t. 22, 1979, p. 169-180. | MR | Zbl
,24 Alternators on Banach Jordan algebras. Comptes Rendus Académie Bulgare des Sciences, t. 33, 1980, p. 1589-1590. | MR | Zbl
and ,25 On compact action in JB-algebras. Proc. Edinburgh Math. Soc. t. 26, 1983, p 353-360. | MR | Zbl
,26 Propriétés spectrales des algèbres de Banach. Lecture Notes in Math., t. 735, 1979. | MR | Zbl
,