Inequalities in Von Neumann Algebras
Les rencontres physiciens-mathématiciens de Strasbourg -RCP25, Exposés de : H. Araki, H.J. Borchers, J.P. Ferrier, P. Krée, J.F. Pommaret, D. Ruelle, R. Stora et A. Voros, Tome 22 (1975), Exposé no. 1, 25 p. 
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     author = {Araki, Huzihiro},
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     publisher = {Institut de Recherche Math\'ematique Avanc\'ee - Universit\'e Louis Pasteur},
     volume = {22},
     year = {1975},
     language = {en},
     url = {http://www.numdam.org/item/RCP25_1975__22__A1_0/}
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Araki, Huzihiro. Inequalities in Von Neumann Algebras. Les rencontres physiciens-mathématiciens de Strasbourg -RCP25, Exposés de : H. Araki, H.J. Borchers, J.P. Ferrier, P. Krée, J.F. Pommaret, D. Ruelle, R. Stora et A. Voros, Tome 22 (1975), Exposé no. 1, 25 p. http://www.numdam.org/item/RCP25_1975__22__A1_0/

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

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

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

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

[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 | Zbl

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

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

[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 | Zbl

[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 | Zbl

[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

[11] N. N. Bogolubov : Dubna report, 1962 (unpublished) [German transl.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 | Zbl

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

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

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

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

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

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

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

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

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

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

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

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

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