Communications in Mathematical Physics

, Volume 31, Issue 4, pp 317–325

Remarks on two theorems of E. Lieb

  • H. Epstein

DOI: 10.1007/BF01646492

Cite this article as:
Epstein, H. Commun.Math. Phys. (1973) 31: 317. doi:10.1007/BF01646492


The concavity of two functions of a positive matrixA, Tr exp(B + logA) and TrArKApK* (whereB=B* andK are fixed matrices), recently proved by Lieb, can also be obtained by using the theory of Herglotz functions.

Copyright information

© Springer-Verlag 1973

Authors and Affiliations

  • H. Epstein
    • 1
  1. 1.I. H. E. S.Bures sur YvetteFrance