@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://www.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://www.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://www.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://www.numdam.org/item/AIHPA_1981__35_4_287_0/
[1] Rev. Mod. Phys., t. 50, 1978, p. 221-260. | MR
,[2] Ann. Inst. H. Poincaré, t. 19, 1973, p. 357. | Numdam | MR | Zbl
,[3] Found. Phys., t. 8, 1978, p. 805. | MR
,[4] Rep. Math. Phys., t. 8, 1975, p. 109. | MR
,[5] Rep. Math. Phys., t. 1, 1970, p. 147. | Zbl
,[6] Rep. Math. Phys., t. 10, 1976, p. 43. | Zbl
,[7] Comm. Math. Phys., t. 44, 1975, p. 129. | MR
and ,[8] Phys. Rev., t. 106, 1957, p. 620; t. 108, 1957, p. 171. | Zbl
,[9] Ann. Fond. Louis de Broglie, t. 3, 1978, p. 155.
,[10] J. Math. Phys., t. 20, 1979, p. 1963. | MR | Zbl
, and ,[11] Information theory and statistics. Wiley, New York, 1959. | MR | Zbl
,[12] Stud. Scient. Math. Hung., t. 2, 1967, p. 299. | Zbl
,[13] Comm. Math. Phys., t. 29, 1973, p. 249. | MR
,[14] J. Math. Phys., t. 20, 1979, p. 1963. | MR | Zbl
, and ,[15] Comm. Math. Phys., t. 44, 1975, p. 125. | MR
,[16] Comm. Math. Phys., t. 63, 1978, p. 265. | MR | Zbl
,[17] Commun. Math. Phys., 1981 (to be published).
,[18] Helv. Phys. Acta, t. 41, 1968, p. 513. | Zbl
, and ,[19] Physical reality and Mathematical description. C. Enz and J. Mehra eds, D. Reidel publishing company, Dortrecht, Holland, 1974. | MR
, in[20] Int. J. Theor. Phys., t. 3, 1970, p. 191.
,[21] Foundations of Quantum Mechanics. Addisson-Wesley, Reading, Mass, 1968). | MR | Zbl
,[22] Mathematical Foundations of Quantum Mechanics, Princeton Univers. press, Princeton, 1955. | Zbl
,[23] J. of Rat. mech. and Analysis, t. 6, 1957, p. 885. | MR | Zbl
,[24] Theory of cross-norm spaces, Princeton, 1950.
,[25] Lett. math. Phys., t. 5, 1981, p. 327. | MR
,[26] Conceptual Foundations of Quantum Mechanics. W. A. Benjamin Inc., 1971.
,[27] J. Stat. Phys., t. 26, 1981, p. 693. | MR
,[28] J. Stat. Phys., t. 3, 1971, p. 301.
and ,[29] Les algèbres d'opérateurs dans l'espace Hilbertien, Gauthier-Villars, Paris, 1969. | Zbl
,[30] Best approximation in normed linear spaces by elements of linear subspaces. Springer Verlag, 1970. | MR | Zbl
,[31] The theory of best approximation and functional analysis, S. I. A. M., Philadelphia, 1974. | MR | Zbl
,[32] Quantum Mechanics in Hilbert space (Academic Press, 1971). | Zbl
,[33] Bull. Acad. Pol. Sci., t. 21, 1976, p. 873.
and ,[34] Riv., Nuov. Cim., t. 6, 1976, p. 321.
and ,[35] Mécanique Quantique, Dunod, Paris, 1965. | MR
,[36] Foundations of Quantum Physics. W. A. Benjamin, Reading, Mass., 1976. | MR | Zbl
,[37] Lett. Nuovo Cim., t. 23, 1978, p. 439. | MR
and ,