Relative Entropy for States of von Neumann Algebras II

30 April 1977

journal article
Published by European Mathematical Society - EMS - Publishing House GmbH in Publications of the Research Institute for Mathematical Sciences

Vol. 13 (1) , 173-192
https://doi.org/10.2977/prims/1195190105

Abstract

Earlier definition of the relative entropy of two faithful normal positive linear functionals of a von Neumann algebra is generalized to non-faithful functionals. Basic properties of the relative entropy are proved for this generalization.