Relative Entropy of States of von Neumann Algebras

Araki, Huzihiro

doi:10.2977/prims/1195191148

Relative Entropy of States of von Neumann Algebras

Huzihiro Araki

Dec 31, 1975

25 pages

Published in:

Publ.Res.Inst.Math.Sci.Kyoto 11 (1975) 3, 809-833

Published: Dec 31, 1975

DOI:

10.2977/prims/1195191148

reference search121 citations

Citations per year

Abstract: (submitter)

Relative entropy of two states of a von Neumann algebra is defined in terms of the relative modular operator. The strict positivity, lower semicontinuity, convexity and monotonicity of relative entropy are proved. The Wigner-Yanase-Dyson-Lieb concavity is also proved for general von Neumann algebra.

References(0)

Figures(0)

0 References