Distance between states and statistical inference in quantum theory
Annales de l'institut Henri Poincaré. Section A, Physique Théorique, Tome 35 (1981) no. 4, pp. 287-309.
@article{AIHPA_1981__35_4_287_0,
     author = {Hadjisavvas, N.},
     title = {Distance between states and statistical inference in quantum theory},
     journal = {Annales de l'institut Henri Poincar\'e. Section A, Physique Th\'eorique},
     pages = {287--309},
     publisher = {Gauthier-Villars},
     volume = {35},
     number = {4},
     year = {1981},
     mrnumber = {650134},
     zbl = {0485.46037},
     language = {en},
     url = {http://archive.numdam.org/item/AIHPA_1981__35_4_287_0/}
}
TY  - JOUR
AU  - Hadjisavvas, N.
TI  - Distance between states and statistical inference in quantum theory
JO  - Annales de l'institut Henri Poincaré. Section A, Physique Théorique
PY  - 1981
SP  - 287
EP  - 309
VL  - 35
IS  - 4
PB  - Gauthier-Villars
UR  - http://archive.numdam.org/item/AIHPA_1981__35_4_287_0/
LA  - en
ID  - AIHPA_1981__35_4_287_0
ER  - 
%0 Journal Article
%A Hadjisavvas, N.
%T Distance between states and statistical inference in quantum theory
%J Annales de l'institut Henri Poincaré. Section A, Physique Théorique
%D 1981
%P 287-309
%V 35
%N 4
%I Gauthier-Villars
%U http://archive.numdam.org/item/AIHPA_1981__35_4_287_0/
%G en
%F AIHPA_1981__35_4_287_0
Hadjisavvas, N. Distance between states and statistical inference in quantum theory. Annales de l'institut Henri Poincaré. Section A, Physique Théorique, Tome 35 (1981) no. 4, pp. 287-309. http://archive.numdam.org/item/AIHPA_1981__35_4_287_0/

[1] A. Wehrl, Rev. Mod. Phys., t. 50, 1978, p. 221-260. | MR

[2] M.B. Ruskai, Ann. Inst. H. Poincaré, t. 19, 1973, p. 357. | Numdam | MR | Zbl

[3] J. Cyranski, Found. Phys., t. 8, 1978, p. 805. | MR

[4] W. Ochs, Rep. Math. Phys., t. 8, 1975, p. 109. | MR

[5] A. Uhlmann, Rep. Math. Phys., t. 1, 1970, p. 147. | Zbl

[6] R. Ingarden, Rep. Math. Phys., t. 10, 1976, p. 43. | Zbl

[7] I. Bialynicki-Birula and J. Mycielski, Comm. Math. Phys., t. 44, 1975, p. 129. | MR

[8] E.T. Jaynes, Phys. Rev., t. 106, 1957, p. 620; t. 108, 1957, p. 171. | Zbl

[9] N. Hadjisavvas, Ann. Fond. Louis de Broglie, t. 3, 1978, p. 155.

[10] S. Gudder, J.P. Marchand and W. Wyss, J. Math. Phys., t. 20, 1979, p. 1963. | MR | Zbl

[11] S. Kullback, Information theory and statistics. Wiley, New York, 1959. | MR | Zbl

[12] I. Csiszar, Stud. Scient. Math. Hung., t. 2, 1967, p. 299. | Zbl

[13] S. Gudder, Comm. Math. Phys., t. 29, 1973, p. 249. | MR

[14] S. Gudder, J.P. Marchand and W. Wyss, J. Math. Phys., t. 20, 1979, p. 1963. | MR | Zbl

[15] V. Cantoni, Comm. Math. Phys., t. 44, 1975, p. 125. | MR

[16] S. Gudder, Comm. Math. Phys., t. 63, 1978, p. 265. | MR | Zbl

[17] H. Hadjisavvas, Commun. Math. Phys., 1981 (to be published).

[18] J.M. Jauch, B. Misra and A.G. Gibson, Helv. Phys. Acta, t. 41, 1968, p. 513. | Zbl

[19] B. Misra, in Physical reality and Mathematical description. C. Enz and J. Mehra eds, D. Reidel publishing company, Dortrecht, Holland, 1974. | MR

[20] N.S. Kronfli, Int. J. Theor. Phys., t. 3, 1970, p. 191.

[21] J.M. Jauch, Foundations of Quantum Mechanics. Addisson-Wesley, Reading, Mass, 1968). | MR | Zbl

[22] J. Von Neumann, Mathematical Foundations of Quantum Mechanics, Princeton Univers. press, Princeton, 1955. | Zbl

[23] A.M. Gleason, J. of Rat. mech. and Analysis, t. 6, 1957, p. 885. | MR | Zbl

[24] R. Schatten, Theory of cross-norm spaces, Princeton, 1950.

[25] N. Hadjisavvas, Lett. math. Phys., t. 5, 1981, p. 327. | MR

[26] B. D'Espagnat, Conceptual Foundations of Quantum Mechanics. W. A. Benjamin Inc., 1971.

[27] N. Hadjisavvas, J. Stat. Phys., t. 26, 1981, p. 693. | MR

[28] K. Friedmann and A. Shimony, J. Stat. Phys., t. 3, 1971, p. 301.

[29] J. Dixmier, Les algèbres d'opérateurs dans l'espace Hilbertien, Gauthier-Villars, Paris, 1969. | Zbl

[30] I. Singer, Best approximation in normed linear spaces by elements of linear subspaces. Springer Verlag, 1970. | MR | Zbl

[31] I. Singer, The theory of best approximation and functional analysis, S. I. A. M., Philadelphia, 1974. | MR | Zbl

[32] E. Prygovecki, Quantum Mechanics in Hilbert space (Academic Press, 1971). | Zbl

[33] K. Bugajska and S. Bugaski, Bull. Acad. Pol. Sci., t. 21, 1976, p. 873.

[34] E.G. Beltramenti and G. Cassinelli, Riv., Nuov. Cim., t. 6, 1976, p. 321.

[35] A. Messiah, Mécanique Quantique, Dunod, Paris, 1965. | MR

[36] C. Piron, Foundations of Quantum Physics. W. A. Benjamin, Reading, Mass., 1976. | MR | Zbl

[37] N. Hadjisavvas and M. Mugur-Schächter, Lett. Nuovo Cim., t. 23, 1978, p. 439. | MR