Remote Access Bulletin of the American Mathematical Society

Bulletin of the American Mathematical Society

ISSN 1088-9485(online) ISSN 0273-0979(print)

 

 

Some convexity and subadditivity properties of entropy


Author: Elliott H. Lieb
Journal: Bull. Amer. Math. Soc. 81 (1975), 1-13
MSC (1970): Primary 80A10, 81A81, 82A05, 82A15, 94A15; Secondary 15A45, 28A35, 28A65, 47A99
MathSciNet review: 0356797
Full-text PDF

References | Similar Articles | Additional Information

References [Enhancements On Off] (What's this?)

  • 1. L. Boltzmann, Ueber die Beziehung zwischen dem zweiten Hauptsatz der mechanischen Waermetheorie und der Wahrscheinlichkeitsrechnung respektive den Saetzen ueber das Waermegleichgewicht, Wiener Berichte 76 (1877), 373.
  • 2. A. N. Kolmogorov, A new metric invariant of transient dynamical systems and automorphisms in Lebesgue spaces, Dokl. Akad. Nauk SSSR (N.S.) 119 (1958), 861–864 (Russian). MR 0103254
  • 3. Elliott H. Lieb and Mary Beth Ruskai, A fundamental property of quantum-mechanical entropy, Phys. Rev. Lett. 30 (1973), 434–436. MR 0373508
  • 4. Elliott H. Lieb, Convex trace functions and the Wigner-Yanase-Dyson conjecture, Advances in Math. 11 (1973), 267–288. MR 0332080
  • 5. Elliott H. Lieb and Mary Beth Ruskai, Proof of the strong subadditivity of quantum-mechanical entropy, J. Mathematical Phys. 14 (1973), 1938–1941. With an appendix by B. Simon. MR 0345558
  • 6. Huzihiro Araki and Elliott H. Lieb, Entropy inequalities, Comm. Math. Phys. 18 (1970), 160–170. MR 0266563

Similar Articles

Retrieve articles in Bulletin of the American Mathematical Society with MSC (1970): 80A10, 81A81, 82A05, 82A15, 94A15, 15A45, 28A35, 28A65, 47A99

Retrieve articles in all journals with MSC (1970): 80A10, 81A81, 82A05, 82A15, 94A15, 15A45, 28A35, 28A65, 47A99


Additional Information

DOI: https://doi.org/10.1090/S0002-9904-1975-13621-4