@article{RCP25_1973__19__A4_0,
author = {Lieb, Elliott H.},
title = {Convex Trace Functions and the Wigner-Yanase-Dyson Conjecture},
journal = {Les rencontres physiciens-math\'ematiciens de Strasbourg -RCP25},
volume = {19},
year = {1973},
pages = {0-35},
language = {en},
url = {http://dml.mathdoc.fr/item/RCP25_1973__19__A4_0}
}
Lieb, Elliott H. Convex Trace Functions and the Wigner-Yanase-Dyson Conjecture. Les rencontres physiciens-mathématiciens de Strasbourg -RCP25, Tome 19 (1973) pp. 0-35. http://gdmltest.u-ga.fr/item/RCP25_1973__19__A4_0/
[1.] and , Information Content of Distributions, Proc. Nat. Acad. Sci. U. S. A. 49 (1963), 910-918. | MR 151127 | Zbl 0128.14104
and On the Positive Semidefinite Nature of Certain Matrix Expressions, Canad. J. Math. 16 (1964), 397-406. | MR 162810 | Zbl 0121.26203
[2.] and , Mean Entropy of States in Classical Statistical Mechanics, Commun. Math. Phys. 5 (1967), 288-300. | MR 225553 | Zbl 0144.48205
[3.] and , Mean Entropy of States in Quantum Statistical Mechanics, J. Math. Phys. 9 (1968), 1120-1125. | Zbl 0174.28303
[4.] and , Entropy Inequalities, Commun. Math. Phys. 18 (1970), 160-170. | MR 266563
[5.] and , Proof of the Strong Subadditivity of Quantum Mechanical Entropy, to be submitted to J. Math. Phys.
See aslo Property of Quantum Mechanical Entropy, Phys. Rev. Lett. (1973) to appear.
[6.] and , Monotone and Convex Operator Functions, Trans. Amer. Math. Soc. 79 (1955), 58-71. | MR 82655 | Zbl 0064.36901
, Math. Zeit. 41 (1936), 18.
[7.] , "Convex Analysis", Princeton University, Princeton, N.J. , 1970, cf. Theorem 15.3. | MR 274683 | Zbl 0932.90001
[8.] The idea of representing A1 in this manner is due to , Endlich Dimensionale Dichtematrizen II, preprint, submitted to Wissen. Z. Karl-Marx-Univ., Leipzig (1972).
[9.] , and , Remarks on a Conjecture of Robinson and Ruelle Concerning the Quantum Mechanical Entropy, in "Problems of Theoretical Physics ; Essays Devoted to N. N. Bogoliubov", (1969), 285-293, Moscow, Nauka.
[10.] , Bemerkungen Ueber Quantenmechanische Entropie Ungleichungen, Helv. Phys. Acta 44 (1971), 95-100. | MR 303895
[11.] , Lower Bounds for the Helmhotz Function, Phys. Rev. 137 (1965) B 1127-1128. | MR 189691 | Zbl 0125.23204
[12.] , Inequality with Applications in Statistical Mechanics, J. Math. Phys. 6 (1965), 1812-1813. | MR 189688
[13.] , Inequalities for Traces on Von Neumann Algebras, Commun. Math. Phys. 26 (1972), 280-289. | MR 312284 | Zbl 0257.46101