@article{AIHPA_1995__63_2_177_0, author = {Antoine, J.-P. and Ogi, H. and Inoue, A. and Trapani, C.}, title = {Standard generalized vectors in the space of Hilbert-Schmidt operators}, journal = {Annales de l'I.H.P. Physique th\'eorique}, volume = {63}, year = {1995}, pages = {177-210}, mrnumber = {1357495}, zbl = {0831.47035}, language = {en}, url = {http://dml.mathdoc.fr/item/AIHPA_1995__63_2_177_0} }
Antoine, J.-P.; Ogi, H.; Inoue, A.; Trapani, C. Standard generalized vectors in the space of Hilbert-Schmidt operators. Annales de l'I.H.P. Physique théorique, Tome 63 (1995) pp. 177-210. http://gdmltest.u-ga.fr/item/AIHPA_1995__63_2_177_0/
[1] Operator Algebras and Quantum Statistical Mechanics I, II, Springer-Verlag, Berlin, 1979. | MR 545651 | Zbl 0421.46048
and ,[2] Quantum Theory of Collective Phenomena, Clarendon Press, Oxford, 1986. | MR 944531
,[3] Unbounded Operator Algebras and Representation Theory, Akademie-Verlag, Berlin, 1990. | MR 1056697 | Zbl 0697.47048
,[4] Quantum Mechanics, Algebras and Distributions, Pitman Research Notes in Math. Series, Longman, Harlow, 1990. | MR 1076186 | Zbl 0705.46039
and ,[5] An unbounded generalization of the Tomita-Takesaki theory, I-II, , Publ. RIMS, Kyoto Univ., Vol. 22, 1986, pp. 725-765; Vol. 23, 1987, pp. 673-726. | MR 871264 | Zbl 0624.47044
,[6] Modular structure of algebras of unbounded operators, Math. Proc. Camb. Phil. Soc., Vol. 111, 1992, pp. 369-386. | MR 1142756 | Zbl 0771.47025
,[7] Cyclic generalized vectors for algebras of unbounded operators, Publ. RIMS, Kyoto Univ., Vol. 30, 1994, pp. 577-601. | MR 1308958 | Zbl 0836.47036
and ,[8] Modular systems induced by trace functionals on algebras of unbounded operators, J. Math. Phys., Vol. 35, 1994, pp. 435-442. | MR 1252124 | Zbl 0811.47043
,[9] Normal forms on partial O*-algebras, J. Math. Phys., Vol. 32, 1991, pp. 2074-2081. | MR 1123597 | Zbl 0770.47025
and ,[10] On the mathematical structure of the B.C.S.-model, Commun. Math. Phys., Vol. 4, 1967, pp. 303-314. | MR 214345 | Zbl 0163.23302
and ,[11] On the mathematical structure of the B.C.S.-model. II, Commun. Math. Phys., Vol. 7, 1968, pp. 181-189.
,[12] Topological algebras and their applications in Quantum Statistics, Wiss. Z. KMU-Leipzig, Math.-Naturwiss. R., Vol. 30, 1981, pp. 572-595. | MR 655241 | Zbl 0483.47027
,[13] Algebras of unbounded operators and quantum dynamics, Physica, Vol. 124 A, 1984, pp. 471-480. | MR 759198 | Zbl 0599.47072
,[14] Regular weights on algebras of unbounded operators, preprint, Fukuoka Univ., 1994.
and ,[15] Partial *-algebras of closable operators. II. States and representations of partial *-algebras, Publ. RIMS, Kyoto Univ., Vol. 27, 1991, pp. 399-430. | MR 1121245 | Zbl 0749.47030
, and ,[16] "Almost" mean-field Ising model: an algebraic approach, J. Stat. Phys., Vol. 65, 1991, pp. 469-482. | MR 1137420 | Zbl 0945.82503
and ,[17] Quasi *-algebras valued quantized fields, Ann. Inst. H. Poincaré, Vol. 46, 1987, pp. 175-185. | Numdam | MR 887146 | Zbl 0617.46073
and ,