A generalization of entropy using traces on von Neumann algebras

Mary Beth Ruskai

Annales de l'I.H.P. Physique théorique (1973)

  • Volume: 19, Issue: 4, page 357-373
  • ISSN: 0246-0211

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Ruskai, Mary Beth. "A generalization of entropy using traces on von Neumann algebras." Annales de l'I.H.P. Physique théorique 19.4 (1973): 357-373. <http://eudml.org/doc/75792>.

@article{Ruskai1973,
author = {Ruskai, Mary Beth},
journal = {Annales de l'I.H.P. Physique théorique},
language = {eng},
number = {4},
pages = {357-373},
publisher = {Gauthier-Villars},
title = {A generalization of entropy using traces on von Neumann algebras},
url = {http://eudml.org/doc/75792},
volume = {19},
year = {1973},
}

TY - JOUR
AU - Ruskai, Mary Beth
TI - A generalization of entropy using traces on von Neumann algebras
JO - Annales de l'I.H.P. Physique théorique
PY - 1973
PB - Gauthier-Villars
VL - 19
IS - 4
SP - 357
EP - 373
LA - eng
UR - http://eudml.org/doc/75792
ER -

References

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  1. [1] D.W. Robinson and D. Ruelle, Commun. Math. Phys., t. 5, 1967, p. 288-300. Zbl0144.48205MR225553
  2. [2] O. Lanford III and D.W. Robinson, J. Math. Phys., t. 9, 1968, p. 1120-1125. Zbl0174.28303MR234696
  3. [3] H. Araki and E.H. Lieb, Commun. Math. Phys., t. 18, 1970, p. 160-170. MR266563
  4. [4] E.H. Lieb and M.B. Ruskai, Phys. Rev. Letters, t. 30, 1973, p. 434-436. MR373508
  5. [5] E.H. Lieb and M.B. Ruskai, J. Math. Phys., t. 14, 1973, p. 1938-1941. MR345558
  6. [6] H. Falk, Amer. J. Phys., t. 38, 1970, p. 858-869. MR297286
  7. [7] D. Ruelle, Statistical Mechanics: Rigorous Results, Benjamin, New York, 1969. Zbl0177.57301MR289084
  8. [8] D. Ruelle, in Statistical Mechanics and Quantum Field Theory, C. DeWitt and R. Stora eds. pp. Gordon and Breach, New York, 1971. 
  9. [9] M.B. Ruskai and E.H. Lieb, Adv. Math., t. 12, 1974, p. 269-273. Zbl0274.46045MR336406
  10. [10] H. Epstein, Commun. Math. Phys., t. 31, 1973, p. 317-325. Zbl0257.46089
  11. [11] E.H. Lieb, Adv. Math., t. 11, 1973, p. 267-288. Zbl0267.46055MR332080
  12. [12] J. Dixmier, Les algèbres d'opérateurs dans l'espace hilbertien (Algebres de von Neumann), Gauthier-Villars, Paris, 1969. Zbl0175.43801
  13. [13] M.B. Ruskai, Commun. Math. Phys., t. 26, 1972, p. 280-289. Zbl0257.46101MR312284
  14. [14] L. Schwartz, Théorie des distributions, Hermann, Paris, 1966. Zbl0149.09501MR209834
  15. [15] T. Kato, Perturbation Theory for Linear Operators, Springer-Verlag, New York, 1966. Zbl0148.12601MR203473
  16. [16] N. Bourbaki, Livre VI: Integration, Hermann, Paris, 1952 (Chapitre III, Sect. 2, No. 7). 
  17. [17] M.C. Reed and B. Simon, Methods of Mathematical Physics. Vol. I: Elementary Functional Analysis, Academic Press, New York, 1972. Zbl0242.46001

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