JournalsprimsVol. 13 , No. 1DOI 10.2977/prims/1195190105

Relative Entropy for States of von Neumann Algebras II

  • Huzihiro Araki

    Kyoto University, Japan
Relative Entropy for States of von Neumann Algebras II cover

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.