Inequalities in Von Neumann Algebras

Huzihiro Araki

Recherche Coopérative sur Programme n°25 (1975)

  • Volume: 22, page 1-25

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Araki, Huzihiro. "Inequalities in Von Neumann Algebras." Recherche Coopérative sur Programme n°25 22 (1975): 1-25. <http://eudml.org/doc/274122>.

@article{Araki1975,
author = {Araki, Huzihiro},
journal = {Recherche Coopérative sur Programme n°25},
language = {eng},
pages = {1-25},
publisher = {Institut de Recherche Mathématique Avancée - Université Louis Pasteur},
title = {Inequalities in Von Neumann Algebras},
url = {http://eudml.org/doc/274122},
volume = {22},
year = {1975},
}

TY - JOUR
AU - Araki, Huzihiro
TI - Inequalities in Von Neumann Algebras
JO - Recherche Coopérative sur Programme n°25
PY - 1975
PB - Institut de Recherche Mathématique Avancée - Université Louis Pasteur
VL - 22
SP - 1
EP - 25
LA - eng
UR - http://eudml.org/doc/274122
ER -

References

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  1. [1] H. Araki : Publ. RIMS Kyoto Univ.4A, 361-371 (1968). Zbl0195.28701MR2117105
  2. [2] H. Araki : Publ. RIMS Kyoto Univ.9, 165-209 (1973). Zbl0273.46054MR1382132
  3. [3] H. Araki : Commun. Math. Phys.34, 167-178 (1973). Zbl0274.46048MR341114
  4. [4] H. Araki : Pacific J. Math.50, 309-354 (1974). Zbl0287.46074MR350437
  5. [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. Zbl0309.46054MR475531
  6. [6] H. Araki : Ann. Sci. École Norm. Sup.6, 67-84 (1973). Zbl0257.46054MR435842
  7. [7] H. Araki : Relative entropy of states of von Neumann algebras. In preparation. Zbl0326.46031
  8. [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. Zbl0392.46043MR333748
  9. [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, Rome1975. Zbl0369.46064MR493381
  10. [10] H. Araki : Relative entropy and its applications. To appear in Proceedings of International colloquium on mathematical methods of quantum field theory, Marseille, 1975. MR479145
  11. [11] N. N. Bogolubov : Dubna report, 1962 (unpublished) [German transl. : Phys. Abh. SU6, 1 (1962 ) ; 6, 113 (1962) ; 6, 229 (1962)] 
  12. [12] A. Connes : Ann. Scient. Ecole Norm. Sup.4ème Série 6, 133-252 (1973) Zbl0274.46050MR341115
  13. [13] A. Connes, Caractérisation des algèbres de von Neumann comme espaces vectoriels ordonnés. Zbl0287.46078
  14. [14] H. Epstein, Commun. Math. Phys.31, 317-325 (1973). Zbl0257.46089MR343073
  15. [15] S. Golden, Phys. Rev.137, B1127-1128 (1965). MR189691
  16. [16] E. H. Lieb, Advances in Math.11, 267-288 (1973). Zbl0267.46055MR332080
  17. [17] G. Lindblad, Commun. Math. Phys.39, 111-119 (1974). Zbl0294.46052MR363351
  18. [18] R. Peierls, Proc. Camb. Phil. Soc.32, 477-481 (1936). Zbl0014.33604
  19. [19] R. T. Powers and E. Stormer, Commun. Math. Phys.16, 1-33 (1970). Zbl0186.28301MR269230
  20. [20] M. B. Ruskai, Commun. Math. Phys.26, 280-289 (1972). Zbl0257.46101MR278677
  21. [21] M. Takesaki, Tomita's Theory of Modular Hilbert Algebras and its Applications, Springer Verlag, 1970. Zbl0193.42502MR270168
  22. [22] C. Thompson, J. Math. Phys.6, 1812-1813 (1965). MR189688
  23. [23] H. Umegaki, Kōdai Math. Sem. Rep.14, 59-85 (1962). Zbl0199.19706
  24. [24] E. P. Wigner and M. M. Yanase, Proc. Nat. Acad. Sci.U.S.A.49, 910-918 (1963) Zbl0128.14104MR151127
  25. E. P. Wigner and M. M. YanaseCanad. J. Math.16, 397-406 (1964). Zbl0121.26203MR162810

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