Inequalities in Von Neumann Algebras
Araki, Huzihiro
Les rencontres physiciens-mathématiciens de Strasbourg -RCP25, Tome 22 (1975), p. 1-25 / Harvested from Numdam
Access to full text
Full (PDF)
Full (DJVU)
Publié le : 1975-01-01
@article{RCP25_1975__22__A1_0,
     author = {Araki, Huzihiro},
     title = {Inequalities in Von Neumann Algebras},
     journal = {Les rencontres physiciens-math\'ematiciens de Strasbourg -RCP25},
     volume = {22},
     year = {1975},
     pages = {1-25},
     language = {en},
     url = {http://dml.mathdoc.fr/item/RCP25_1975__22__A1_0}
}

Araki, Huzihiro. Inequalities in Von Neumann Algebras. Les rencontres physiciens-mathématiciens de Strasbourg -RCP25, Tome 22 (1975) pp. 1-25. http://gdmltest.u-ga.fr/item/RCP25_1975__22__A1_0/

[1] H. Araki : Publ. RIMS Kyoto Univ. 4A, 361-371 (1968). | MR 2117105 | Zbl 0195.28701

[2] H. Araki : Publ. RIMS Kyoto Univ. 9, 165-209 (1973). | MR 1382132 | Zbl 0273.46054

[3] H. Araki : Commun. Math. Phys. 34, 167-178 (1973). | MR 341114 | Zbl 0274.46048

[4] H. Araki : Pacific J. Math. 50, 309-354 (1974). | MR 350437 | Zbl 0287.46074

[5] H. Araki : Commun. Math. Phys. 38, 1-10 (1974) ; On uniqueness of KMS states of one-dimensional quantum lattice Systems. To appear in Commun. Math. Phys. | MR 475531 | Zbl 0309.46054

[6] H. Araki : Ann. Sci. École Norm. Sup. 6, 67-84 (1973). | Numdam | MR 435842 | Zbl 0257.46054

[7] H. Araki : Relative entropy of states of von Neumann algebras. In preparation. | Zbl 0326.46031

[8] H. Araki : Positive cone, Radon-Nikodym theorems, relative Hamiltonian and the Gibbs condition in statistical mechanics. To appear in Lecture Notes of Varenna Summer School, 1973. | MR 333748 | Zbl 0392.46043

[9] H. Araki : Recent developments in the theory of operator algebras and their significance in theoretical physics. To appear in Proceedings of convegno sulle algebre C* e loro applicazioni in fisica teorica, Rome 1975. | MR 493381 | Zbl 0369.46064

[10] H. Araki : Relative entropy and its applications. To appear in Proceedings of International colloquium on mathematical methods of quantum field theory, Marseille, 1975. | MR 479145

[11] N. N. Bogolubov : Dubna report, 1962 (unpublished) [German transl. : Phys. Abh. SU 6, 1 (1962 ) ; 6, 113 (1962) ; 6, 229 (1962)]

[12] A. Connes : Ann. Scient. Ecole Norm. Sup. 4ème Série 6, 133-252 (1973) | Numdam | MR 341115 | Zbl 0274.46050

[13] A. Connes, Caractérisation des algèbres de von Neumann comme espaces vectoriels ordonnés. | Numdam | Zbl 0287.46078

[14] H. Epstein, Commun. Math. Phys. 31, 317-325 (1973). | MR 343073 | Zbl 0257.46089

[15] S. Golden, Phys. Rev. 137, B1127-1128 (1965). | MR 189691

[16] E. H. Lieb, Advances in Math. 11, 267-288 (1973). | MR 332080 | Zbl 0267.46055

[17] G. Lindblad, Commun. Math. Phys. 39, 111-119 (1974). | MR 363351 | Zbl 0294.46052

[18] R. Peierls, Proc. Camb. Phil. Soc. 32, 477-481 (1936). | Zbl 0014.33604

[19] R. T. Powers and E. Stormer, Commun. Math. Phys. 16, 1-33 (1970). | MR 269230 | Zbl 0186.28301

[20] M. B. Ruskai, Commun. Math. Phys. 26, 280-289 (1972). | MR 278677 | Zbl 0257.46101

[21] M. Takesaki, Tomita's Theory of Modular Hilbert Algebras and its Applications, Springer Verlag, 1970. | MR 270168 | Zbl 0193.42502

[22] C. Thompson, J. Math. Phys. 6, 1812-1813 (1965). | MR 189688

[23] H. Umegaki, Kōdai Math. Sem. Rep. 14, 59-85 (1962). | Zbl 0199.19706

[24] E. P. Wigner and M. M. Yanase, Proc. Nat. Acad. Sci. U.S.A. 49, 910-918 (1963) | MR 151127 | Zbl 0128.14104

E. P. Wigner and M. M. Yanase Canad. J. Math. 16, 397-406 (1964). | MR 162810 | Zbl 0121.26203